From edba316fa866df815de8917ebe7df5587b171f60 Mon Sep 17 00:00:00 2001 From: David Coeurjolly Date: Thu, 9 Sep 2021 12:46:53 +0200 Subject: [PATCH 01/24] Complete Voronoi Map (cherrypicking from Robin Lamy) --- .../volumes/distance/VoronoiMapComplete.h | 447 ++++++++++++++++++ .../volumes/distance/VoronoiMapComplete.ih | 394 +++++++++++++++ .../geometry/volumes/distance/CMakeLists.txt | 1 + .../distance/testVoronoiMapComplete.cpp | 169 +++++++ 4 files changed, 1011 insertions(+) create mode 100644 src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h create mode 100644 src/DGtal/geometry/volumes/distance/VoronoiMapComplete.ih create mode 100644 tests/geometry/volumes/distance/testVoronoiMapComplete.cpp diff --git a/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h b/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h new file mode 100644 index 0000000000..f0872ec10e --- /dev/null +++ b/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h @@ -0,0 +1,447 @@ +/** + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU Lesser General Public License as + * published by the Free Software Foundation, either version 3 of the + * License, or (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + * + **/ + +#pragma once + +/** + * @file VoronoiMapComplete.h + * @brief Linear in time distance transformation + * @author David Coeurjolly (\c david.coeurjolly@liris.cnrs.fr ) + * Laboratoire d'InfoRmatique en Image et Systèmes d'information - LIRIS (CNRS, UMR 5205), CNRS, France + * + * @date 2012/08/14 + * + * Header file for module VoronoiMap.cpp + * + * This file is part of the DGtal library. + * + * @see testVoronoiMap.cpp + */ + +#if defined(VoronoiMapComplete_RECURSES) +#error Recursive header files inclusion detected in VoronoiMapComplete.h +#else // defined(VoronoiMapComplete_RECURSES) +/** Prevents recursive inclusion of headers. */ +#define VoronoiMapComplete_RECURSES + +#if !defined VoronoiMapComplete_h +/** Prevents repeated inclusion of headers. */ +#define VoronoiMapComplete_h + +////////////////////////////////////////////////////////////////////////////// +// Inclusions +#include +#include +#include +#include "DGtal/base/Common.h" +#include "DGtal/base/CountedPtr.h" +#include "DGtal/images/ImageContainerBySTLVector.h" +#include "DGtal/images/CImage.h" +#include "DGtal/kernel/CPointPredicate.h" +#include "DGtal/kernel/domains/HyperRectDomain.h" +#include "DGtal/geometry/volumes/distance/CSeparableMetric.h" +#include "DGtal/kernel/domains/HyperRectDomain.h" +#include "DGtal/base/ConstAlias.h" +////////////////////////////////////////////////////////////////////////////// + +namespace DGtal +{ + + ///////////////////////////////////////////////////////////////////////////// + // template class VoronoiMap + /** + * Description of template class 'VoronoiMap'

+ * \brief Aim: Implementation of the linear in time Voronoi map + * construction. + + * The algorithm uses a seperable process to construct Voronoi maps + * which has been described in @cite Maurer2003PAMI @cite dcoeurjo_these. + * Along periodic dimensions, the algorithm is adapted following @cite Coeurjo2008. + * + * Given a domain and a point predicate, an instance returns, for + * each point in the domain, the collection of closest points for which the + * predicate if false. Following Computational Geometry + * terminoliogy, points for which the predicate is false are "sites" + * for the Voronoi map construction. + * + * If a point is equi-distant to several sites, all sites will be attached to + * that point (contrary to the class VoronoiMap that will only keep one of them). + * This implies a computational overhead: + * - if @f$ f @f$ is the max number of co-cyclic points per grid point, we + * have an extra @f$ O(f) @f$ factor to the computational cost (cf below) + * - As we have to use a specific container to store the per pixel equi-distant points + * we obviously have a memory overhead when there are equi-distant points, but a slight computational + * one too to access sites from the container (std::vector per grid point). + * + * By default, the domain is considered non-periodic but per-dimension + * periodicity can be specified in the constructor. + * When the domain has periodic dimensions, the closest point + * coordinates \c B to a given point \c A may not be between the lower + * and upper bounds of the domain, in such a way that the non-periodic + * distance between \c A and \c B is equal to their distance considering + * the periodicity. + * + * The metric is specified by a model of concepts::CSeparableMetric (for + * instance, any instance of ExactPredicateLpSeparableMetric or + * InexactPredicateLpSeparableMetric). If the separable metric has + * a complexity of O(h) for its "hiddenBy" predicate, the overall + * Voronoi construction algorithm is in @f$ O(f.h.d.n^d)@f$ for @f$ + * n^d@f$ domains (see class constructor). For Euclidean the @f$ + * l_2@f$ metric, the overall computation is in @f$ O(f.d.n^d)@f$, + * which is optimal. + * + * If DGtal has been built with OpenMP support (WITH_OPENMP flag set + * to "true"), the computation is done in parallel (multithreaded) + * in an optimal way: on @a p processors, expected runtime is in + * @f$ O(f.h.d.n^d / p)@f$. + * + * This class is a model of concepts::CConstImage. + * + * @see   \ref toricVol + * + * @tparam TSpace type of Digital Space (model of concepts::CSpace). + * @tparam TPointPredicate point predicate returning true for points + * from which we compute the distance (model of concepts::CPointPredicate) + * @tparam TSeparableMetric a model of concepts::CSeparableMetric + * @tparam TImageContainer any model of concepts::CImage to store the + * VoronoiMap (default: ImageContainerBySTLVector). The space of the + * image container and the TSpace should match. Furthermore the + * container value type must be a random access container on TSpace::Vector. + * Lastly, the domain of the container must be HyperRectDomain. + */ + template < typename TSpace, + typename TPointPredicate, + typename TSeparableMetric, + typename TImageContainer = + ImageContainerBySTLVector, + std::vector > + > + class VoronoiMapComplete + { + + public: + BOOST_CONCEPT_ASSERT(( concepts::CSpace< TSpace > )); + BOOST_CONCEPT_ASSERT(( concepts::CPointPredicate )); + BOOST_CONCEPT_ASSERT(( concepts::CSeparableMetric )); + BOOST_CONCEPT_ASSERT(( concepts::CImage< TImageContainer > )); + + ///Both Space points and PointPredicate points must be the same. + BOOST_STATIC_ASSERT ((boost::is_same< typename TSpace::Point, + typename TPointPredicate::Point >::value )); + + //ImageContainer::Domain::Space must match with TSpace + BOOST_STATIC_ASSERT ((boost::is_same< TSpace, + typename TImageContainer::Domain::Space >::value )); + + //ImageContainer value type must be std::vector + BOOST_STATIC_ASSERT ((boost::is_same< std::vector, + typename TImageContainer::Value >::value )); + + //ImageContainer domain type must be HyperRectangular + BOOST_STATIC_ASSERT ((boost::is_same< HyperRectDomain, + typename TImageContainer::Domain >::value )); + + ///Copy of the space type. + typedef TSpace Space; + + ///Copy of the point predicate type. + typedef TPointPredicate PointPredicate; + + ///Definition of the underlying domain type. + typedef typename TImageContainer::Domain Domain; + + ///Definition of the separable metric type + typedef TSeparableMetric SeparableMetric; + + ///Large integer type for SeparableMetricHelper construction. + typedef DGtal::int64_t IntegerLong; + + typedef typename Space::Vector Vector; + typedef typename Space::Point Point; + typedef typename Space::Dimension Dimension; + typedef typename Space::Size Size; + typedef typename Space::Point::Coordinate Abscissa; + + ///Type of resulting image + typedef TImageContainer OutputImage; + + ///Definition of the image value type. + typedef typename TImageContainer::Value Value; + + ///Definition of the image value type. + typedef typename OutputImage::ConstRange ConstRange; + + ///Self type + typedef VoronoiMapComplete< TSpace, TPointPredicate, + TSeparableMetric,TImageContainer > Self; + + + /// Periodicity specification type. + typedef std::array< bool, Space::dimension > PeriodicitySpec; + + /** + * Constructor in the non-periodic case. + * + * This constructor computes the Voronoi Map of a set of point + * sites using a SeparableMetric metric, on a non-periodic domain. + * + * The method associates to each point satisfying the foreground predicate, + * the closest site for which the predicate is false. This algorithm is + * @f$ O(h.d.|domain size|)@f$ if the separable metric "hiddenBy" + * predicate is in @f$ O(h)@f$. + * + * @param aDomain a pointer to the (hyper-rectangular) domain on + * which the computation is performed. + * + * @param predicate a pointer to the point predicate to define the + * Voronoi sites (false points). + * + * @param aMetric a pointer to the separable metric instance. + */ + VoronoiMapComplete(ConstAlias aDomain, + ConstAlias predicate, + ConstAlias aMetric); + + /** + * Constructor with periodicity specification. + * + * This constructor computes the Voronoi Map of a set of point + * sites using a SeparableMetric metric, on a domain with specified + * periodicity. + * + * The method associates to each point satisfying the foreground predicate, + * the closest site for which the predicate is false. This algorithm is + * @f$ O(h.d.|domain size|)@f$ if the separable metric "hiddenBy" + * predicate is in @f$ O(h)@f$. + * + * @param aDomain a pointer to the (hyper-rectangular) domain on + * which the computation is performed. + * + * @param predicate a pointer to the point predicate to define the + * Voronoi sites (false points). + * + * @param aMetric a pointer to the separable metric instance. + * + * @param aPeriodicitySpec an array of size equal to the space dimension + * where the i-th value is \c true if the i-th dimension of the + * space is periodic, \c false otherwise. + */ + VoronoiMapComplete(ConstAlias aDomain, + ConstAlias predicate, + ConstAlias aMetric, + PeriodicitySpec const & aPeriodicitySpec); + /** + * Default destructor + */ + ~VoronoiMapComplete() = default; + + /** + * Disabling default constructor. + */ + VoronoiMapComplete() = delete; + + public: + // ------------------- ConstImage model ------------------------ + + /** + * Assignment operator from another Voronoi map. + * + * @param aOtherVoronoiMap another instance of Self + * @return a reference to Self + */ + Self & operator=(const Self &aOtherVoronoiMap ) = default; + + /** + * Returns a reference (const) to the Voronoi map domain. + * @return a domain + */ + const Domain & domain() const + { + return *myDomainPtr; + } + + /** + * Returns a const range on the Voronoi map values. + * @return a const range + */ + ConstRange constRange() const + { + return myImagePtr->constRange(); + } + + /** + * Access to a Voronoi value (a.k.a. vector to the closest site) + * at a point. + * + * @param aPoint the point to probe. + */ + Value operator()(const Point &aPoint) const + { + return myImagePtr->operator()(aPoint); + } + + /** + * @return Returns an alias to the underlying metric. + */ + const SeparableMetric* metric() const + { + return myMetricPtr; + } + + /** Periodicity specification. + * + * @returns the periodicity specification array. + */ + PeriodicitySpec const & getPeriodicitySpec() const + { + return myPeriodicitySpec; + } + + /** Periodicity specification along one dimensions. + * + * @param [in] n the dimension index. + * @return \c true if the n-th dimension is periodic, \c false otherwise. + */ + bool isPeriodic( const Dimension n ) const + { + return myPeriodicitySpec[ n ]; + } + + /** + * Project point coordinates into the domain, taking into account + * the periodicity. + * + * @pre The given point must come from operator()(const Point &) const (for performance reasons). + * + * @param aPoint the point to project + * @return the coordinates projected into the domain bounds accordingly + * to the periodicity specification. + */ + Point projectPoint( Point aPoint ) const; + + /** + * Self Display method. + * + * @param out output stream + */ + void selfDisplay ( std::ostream & out ) const; + + // ------------------- Private functions ------------------------ + private: + + /** + * Compute the Voronoi Map of a set of point sites using a + * SeparableMetric metric. The method associates to each point + * satisfying the foreground predicate, the closest site for which + * the predicate is false. This algorithm is O(h.d.|domain size|). + */ + void compute ( ) ; + + + /** + * Compute the other steps of the separable Voronoi map. + * + * @param [in] dim the dimension to process + */ + void computeOtherSteps(const Dimension dim) const; + /** + * Given a voronoi map valid at dimension @a dim-1, this method + * updates the map to make it consistent at dimension @a dim along + * the 1D span starting at @a row along the dimension @a + * dim. + * + * @param [in] row starting point of the 1D process. + * @param [in] dim dimension of the update. + */ + void computeOtherStep1D (const Point &row, + const Dimension dim) const; + + /** + * Project a coordinate into the domain, taking into account + * the periodicity. + * + * @pre The given coordinate must come from operator()(const Point &) const (for performance reasons). + * + * @param aCoordinate the coordinate. + * @param aDim dimension of the coordinate. + * @return the coordinates projected into the domain bounds accordingly + * to the periodicity specification. + */ + typename Point::Coordinate projectCoordinate( typename Point::Coordinate aCoordinate, const Dimension aDim ) const; + + // ------------------- Private members ------------------------ + private: + + ///Pointer to the computation domain + const Domain * myDomainPtr; + + ///Pointer to the point predicate + const PointPredicate * myPointPredicatePtr; + + ///Copy of the image lower bound + Point myLowerBoundCopy; + + ///Copy of the image lower bound + Point myUpperBoundCopy; + + ///Value to act as a +infinity value + Point myInfinity; + + /// Index of the periodic dimensions + std::vector< Dimension > myPeriodicityIndex; // Could be boost::static_vector but it needs Boost >= 1.54. + + /// Domain extent. + Point myDomainExtent; + + protected: + + ///Pointer to the separable metric instance + const SeparableMetric * myMetricPtr; + + ///Voronoi map image + CountedPtr myImagePtr; + + /// Periodicity along each dimension. + PeriodicitySpec myPeriodicitySpec; + + }; // end of class VoronoiMapComplete + + /** + * Overloads 'operator<<' for displaying objects of class 'ExactPredicateLpSeparableMetric'. + * @param out the output stream where the object is written. + * @param object the object of class 'ExactPredicateLpSeparableMetric' to write. + * @return the output stream after the writing. + */ + template + std::ostream& + operator<< ( std::ostream & out, const VoronoiMapComplete & object ); + + +} // namespace DGtal + + +/////////////////////////////////////////////////////////////////////////////// +// Includes inline functions. +#include "DGtal/geometry/volumes/distance/VoronoiMapComplete.ih" + +// // +/////////////////////////////////////////////////////////////////////////////// + +#endif // !defined VoronoiMap_h + +#undef VoronoiMapComplete_RECURSES +#endif // else defined(VoronoiMapComplete_RECURSES) diff --git a/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.ih b/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.ih new file mode 100644 index 0000000000..017e8e0292 --- /dev/null +++ b/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.ih @@ -0,0 +1,394 @@ +/** + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU Lesser General Public License as + * published by the Free Software Foundation, either version 3 of the + * License, or (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + * + **/ + +/** + * @file VoronoiMap.ih + * @author David Coeurjolly (\c david.coeurjolly@liris.cnrs.fr ) + * Laboratoire d'InfoRmatique en Image et Systèmes d'information - LIRIS (CNRS, UMR 5205), CNRS, France + * + * @date 2012/08/14 + * + * Implementation of inline methods defined in VoronoiMap.h + * + * This file is part of the DGtal library. + */ + + +////////////////////////////////////////////////////////////////////////////// +#include + +#ifdef VERBOSE +#include +#endif + +#include "DGtal/kernel/NumberTraits.h" + +////////////////////////////////////////////////////////////////////////////// + +/////////////////////////////////////////////////////////////////////////////// +// IMPLEMENTATION of inline methods. +/////////////////////////////////////////////////////////////////////////////// + +/////////////////////////////////////////////////////////////////////////////// +// ----------------------- Standard services ------------------------------ + +template +inline +void +DGtal::VoronoiMapComplete::compute( ) +{ + //We copy the image extent + myLowerBoundCopy = myDomainPtr->lowerBound(); + myUpperBoundCopy = myDomainPtr->upperBound(); + + //Point outside the domain + for ( auto & coord : myInfinity ) + coord = DGtal::NumberTraits< typename Point::Coordinate >::max(); + + //Init + for ( auto const & pt : *myDomainPtr ) + if ( (*myPointPredicatePtr)( pt )) { + std::vector myVectorInfinity; + myVectorInfinity.push_back(myInfinity); + myImagePtr->setValue ( pt, myVectorInfinity ); + } else { + std::vector external_point; + external_point.push_back(pt); + myImagePtr->setValue ( pt, external_point ); + external_point.pop_back(); + } + + + //We process the remaining dimensions + for ( Dimension dim = 0; dim< S::dimension ; dim++ ) { + computeOtherSteps ( dim ); + } +} + +template +inline +void +DGtal::VoronoiMapComplete::computeOtherSteps ( const Dimension dim ) const +{ +#ifdef VERBOSE + std::string title = "VoronoiMap dimension " + boost::lexical_cast( dim ) ; + trace.beginBlock ( title ); +#endif + + //We setup the subdomain iterator + //the iterator will scan dimension using the order: + // {n-1, n-2, ... 1} (we skip the '0' dimension). + std::vector subdomain; + subdomain.reserve(S::dimension - 1); + for ( int k = 0; k < (int)S::dimension ; k++) + if ( static_cast(((int)S::dimension - 1 - k)) != dim) + subdomain.push_back( (int)S::dimension - 1 - k ); + + Domain localDomain(myLowerBoundCopy, myUpperBoundCopy); + +#ifdef WITH_OPENMP + //Parallel loop + std::vector subRangePoints; + //Starting point precomputation + for ( auto const & pt : localDomain.subRange( subdomain ) ) + subRangePoints.push_back( pt ); + + //We run the 1D problems in // +#pragma omp parallel for schedule(dynamic) + for (size_t i = 0; i < subRangePoints.size(); ++i) + computeOtherStep1D ( subRangePoints[i], dim); + +#else + //We solve the 1D problems sequentially + for ( auto const & pt : localDomain.subRange( subdomain ) ) + computeOtherStep1D ( pt, dim); +#endif + +#ifdef VERBOSE + trace.endBlock(); +#endif +} + +// //////////////////////////////////////////////////////////////////////: +// ////////////////////////// Other Phases +template +void +DGtal::VoronoiMapComplete::computeOtherStep1D ( const Point &startingPoint, + const Dimension dim) const +{ + ASSERT(dim < S::dimension); + + // Default starting and ending point for a cycle + Point startPoint = startingPoint; + Point endPoint = startingPoint; + startPoint[dim] = myLowerBoundCopy[dim]; + endPoint[dim] = myUpperBoundCopy[dim]; + + std::vector myVectorInfinity; + myVectorInfinity.push_back(myInfinity); + + // Extent along current dimension. + const auto extent = myUpperBoundCopy[dim] - myLowerBoundCopy[dim] + 1; + + // Site storage. + std::vector Sites; + + // Reserve sites storage. + // +1 along periodic dimension in order to store two times the site that is on break index. + Sites.reserve( extent + ( isPeriodic(dim) ? 1 : 0 ) ); + + // Pruning the list of sites and defining cycle bounds. + // In the periodic case, the cycle bounds depend on the so-called break index + // that defines the start point. + if ( dim == 0 ) + { + // For dim = 0, no sites are hidden. + for ( auto point = startPoint ; point[dim] <= myUpperBoundCopy[dim] ; ++point[dim] ) + { + const Value psite = myImagePtr->operator()( point ); + if ( psite != myVectorInfinity ) { + for (Point voronoiPoint : psite) { + Sites.push_back( voronoiPoint ); + } + } + } + + // If no sites are found, then there is nothing to do. + if ( Sites.size() == 0 ) + return; + + // In the periodic case and along the first dimension, the break index + // is at the first site found. + if ( isPeriodic(dim) ) + { + startPoint[dim] = Sites[0][dim]; + endPoint[dim] = startPoint[dim] + extent - 1; + + // The first site is also the last site (with appropriate shift). + Sites.push_back( Sites[0] + Point::base(dim, extent) ); + } + } + else + { + // In the periodic case, the cycle depends on break index + if ( isPeriodic(dim) ) + { + // Along other than the first dimension, the break index is at the lowest site found. + auto minRawDist = DGtal::NumberTraits< typename SeparableMetric::RawValue >::max(); + + for ( auto point = startPoint; point[dim] <= myUpperBoundCopy[dim]; ++point[dim] ) + { + const Value psite = myImagePtr->operator()( point ); + + if ( psite != myVectorInfinity ) + { + const auto rawDist = myMetricPtr->rawDistance( point, psite[0] ); // All distances to Voronoi sites are equal, we take the first one + if ( rawDist < minRawDist ) + { + minRawDist = rawDist; + startPoint[dim] = point[dim]; + } + } + } + + // If no sites are found, then there is nothing to do. + if ( minRawDist == DGtal::NumberTraits< typename SeparableMetric::RawValue >::max() ) + return; + + endPoint[dim] = startPoint[dim] + extent - 1; + } + + // Pruning the list of sites for both periodic and non-periodic cases. + for( auto point = startPoint ; point[dim] <= myUpperBoundCopy[dim] ; ++point[dim] ) + { + const Value psite = myImagePtr->operator()(point); + + if ( psite != myVectorInfinity ) + { + for (Point site : psite) { + while (( Sites.size() >= 2 ) && + ( myMetricPtr->hiddenBy(Sites[Sites.size()-2], Sites[Sites.size()-1] , + site, startingPoint, endPoint, dim) )) { + + Sites.pop_back(); + } + + Sites.push_back( site ); + } + } + } + + // Pruning the remaining list of sites in the periodic case. + if ( isPeriodic(dim) ) + { + auto point = startPoint; + point[dim] = myLowerBoundCopy[dim]; + for ( ; point[dim] <= endPoint[dim] - extent + 1; ++point[dim] ) // +1 in order to add the break-index site at the cycle's end. + { + const Value psite = myImagePtr->operator()(point); + + if ( psite != myVectorInfinity ) + { + for (Point site : psite) { + // Site coordinates must be between startPoint and endPoint. + site[dim] += extent; + + while (( Sites.size() >= 2 ) && + ( myMetricPtr->hiddenBy(Sites[Sites.size()-2], Sites[Sites.size()-1] , + site, startingPoint, endPoint, dim) )) + Sites.pop_back(); + + Sites.push_back( site ); + } + } + } + } + } + + // No sites found + if ( Sites.size() == 0 ) + return; + + + // Rewriting for both periodic and non-periodic cases. + size_t siteId = 0; + auto point = startPoint; + uint64_t minimal_distance; + + for ( ; point[dim] <= myUpperBoundCopy[dim] ; ++point[dim] ) + { + + Value voronoiSites = myImagePtr->operator()(point); + minimal_distance = myMetricPtr->rawDistance(voronoiSites[0], point); + + for (Point site : Sites) + { + if (myMetricPtr->rawDistance(site, point) < minimal_distance) { + while(!voronoiSites.empty()){ + voronoiSites.pop_back(); + } + voronoiSites.push_back(site); + minimal_distance = myMetricPtr->rawDistance(site, point); + + } else if((myMetricPtr->rawDistance(site, point) == minimal_distance) + && (std::find(voronoiSites.begin(), voronoiSites.end(), site) == voronoiSites.end())) { + voronoiSites.push_back(site); + } + } + myImagePtr->setValue(point, voronoiSites); // On set le vecteur de site associé au point et non pas uniquement le premier site le plus proche qu'on a rencontré + } + + // Continuing rewriting in the periodic case. + if ( isPeriodic(dim) ) + { + for ( ; point[dim] <= endPoint[dim] ; ++point[dim] ) + { + std::vector voronoiSites; + siteId = 0; + + while ( siteId < Sites.size()-1 ) {// Idem ici en prenant en compte la périodicité + if ( myMetricPtr->closest(point, Sites[siteId], Sites[siteId+1]) == DGtal::ClosestFIRST ) { + voronoiSites.push_back(Sites[siteId] - Point::base(dim, extent)); + } + siteId++; + } + myImagePtr->setValue(point - Point::base(dim, extent), voronoiSites ); + } + } + +} + + +/** + * Constructor. + */ +template +inline +DGtal::VoronoiMapComplete::VoronoiMapComplete( ConstAlias aDomain, + ConstAlias aPredicate, + ConstAlias aMetric ) + : myDomainPtr(&aDomain) + , myPointPredicatePtr(&aPredicate) + , myDomainExtent( aDomain->upperBound() - aDomain->lowerBound() + Point::diagonal(1) ) + , myMetricPtr(&aMetric) +{ + myPeriodicitySpec.fill( false ); + myImagePtr = CountedPtr( new OutputImage(aDomain) ); + compute(); +} + +template +inline +DGtal::VoronoiMapComplete::VoronoiMapComplete( ConstAlias aDomain, + ConstAlias aPredicate, + ConstAlias aMetric, + PeriodicitySpec const & aPeriodicitySpec ) + : myDomainPtr(&aDomain) + , myPointPredicatePtr(&aPredicate) + , myDomainExtent( aDomain->upperBound() - aDomain->lowerBound() + Point::diagonal(1) ) + , myMetricPtr(&aMetric) + , myPeriodicitySpec(aPeriodicitySpec) +{ + // Finding periodic dimension index. + for ( Dimension i = 0; i < Space::dimension; ++i ) + if ( isPeriodic(i) ) + myPeriodicityIndex.push_back( i ); + + myImagePtr = CountedPtr( new OutputImage(aDomain) ); + compute(); +} + +template +inline +typename DGtal::VoronoiMapComplete::Point +DGtal::VoronoiMapComplete::projectPoint( Point aPoint ) const +{ + for ( auto const & dim : myPeriodicityIndex ) + aPoint[ dim ] = projectCoordinate( aPoint[ dim ], dim ); + + return aPoint; +} + +template +inline +typename DGtal::VoronoiMapComplete::Point::Coordinate +DGtal::VoronoiMapComplete::projectCoordinate( typename Point::Coordinate aCoordinate, const Dimension aDim ) const +{ + ASSERT( aCoordinate - myDomainPtr->lowerBound()[aDim] + myDomainExtent[aDim] >= 0 ); + return ( aCoordinate - myDomainPtr->lowerBound()[aDim] + myDomainExtent[aDim] ) % myDomainExtent[aDim] + myDomainPtr->lowerBound()[aDim]; +} + +template +inline +void +DGtal::VoronoiMapComplete::selfDisplay ( std::ostream & out ) const +{ + out << "[VoronoiMap] separable metric=" << *myMetricPtr ; +} + + +// // // +// /////////////////////////////////////////////////////////////////////////////// + +template +inline +std::ostream& +DGtal::operator<< ( std::ostream & out, + const VoronoiMapComplete & object ) +{ + object.selfDisplay( out ); + return out; +} diff --git a/tests/geometry/volumes/distance/CMakeLists.txt b/tests/geometry/volumes/distance/CMakeLists.txt index 5a60c12417..eacd2116e1 100644 --- a/tests/geometry/volumes/distance/CMakeLists.txt +++ b/tests/geometry/volumes/distance/CMakeLists.txt @@ -14,6 +14,7 @@ set(DGTAL_TESTS_SRC testChamferVoro testDigitalMetricAdapter testLpMetric + testVoronoiMapComplete ) diff --git a/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp b/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp new file mode 100644 index 0000000000..f9a873520b --- /dev/null +++ b/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp @@ -0,0 +1,169 @@ +/** + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU Lesser General Public License as + * published by the Free Software Foundation, either version 3 of the + * License, or (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see . + * + **/ + +/** + * @file + * @ingroup Tests + * @author Robin Lamy + * + * @date 2021/07/20 + * + * Functions for testing class VoronoiMapComplete. + * + * This file is part of the DGtal library. + */ + +/////////////////////////////////////////////////////////////////////////////// +#include +#include +#include "DGtal/base/Common.h" +#include "DGtal/helpers/StdDefs.h" +#include "DGtalCatch.h" + +#include "DGtal/geometry/volumes/distance/VoronoiMapComplete.h" +/////////////////////////////////////////////////////////////////////////////// + + +using namespace DGtal; + +typedef Z2i::DigitalSet DigitalSet; +typedef Z2i::Point Point; +typedef Z2i::Domain Domain; + +typedef VoronoiMapComplete CompleteVMap; +typedef ImageContainerBySTLVector, std::unordered_set > TImageContainer; + +TImageContainer * brut_force_voronoi_map_complete(DigitalSet & set) { + + TImageContainer *voronoi_map = new TImageContainer(set.domain()); + + std::vector Sites; + // Getting all voronoi sites in one vector + for (Point point : set.domain()) { + if (!set(point)) { + Sites.push_back(point); + } + } + std::cout << std::endl; + + for (Point point : set.domain()) { + + std::unordered_set voronoi_points; + double voronoi_distance = std::numeric_limits::max(); // maximum int value + for (Point site : Sites) { + if ((point - site).norm() < voronoi_distance) { + voronoi_points.clear(); + voronoi_points.insert(site); + voronoi_distance = (point - site).norm(); + } else if ((point - site).norm() == voronoi_distance) { + voronoi_points.insert(site); + } + } + + voronoi_map->setValue(point, voronoi_points); + } + return voronoi_map; +} + +/////////////////////////////////////////////////////////////////////////////// +// Functions for testing class VoronoiMapComplete +/////////////////////////////////////////////////////////////////////////////// +TEST_CASE( "Testing VoronoiMapComplete 2D" ) +{ + /** + * Random set generation + */ + Point lowerBound(0, 0), upperBound(31, 31); + Domain domain(lowerBound, upperBound); + + DigitalSet set(domain); + int point_setup_index = 0; + int x, y; + + while (point_setup_index < 400) { + x = rand()%32; + y = rand()%32; + if (!set(Point(x, y))) { + set.insert(Point(x, y)); + point_setup_index++; + } + } + + /** + * Voronoi Map Complete from class generation + */ + CompleteVMap vmap(set.domain(), set, Z2i::l2Metric); + + /** + * Voronoi Map Complete from brut force generation + */ + TImageContainer * brut_force_vmap = brut_force_voronoi_map_complete(set); + + SECTION("Testing that VoronoiMapComplete class gives the right voronoi sites sets") + { + for (Point point : set) { + std::unordered_set brut_force_set = brut_force_vmap->operator()(point); + CompleteVMap::Value class_set = vmap(point); + + // Cheking that all voronoi sites from the brut force set are in the algorithm set + for (Point voronoi_point : brut_force_set) { + REQUIRE(std::find(class_set.begin(), class_set.end(), voronoi_point) != class_set.end()); + } + + // Cheking that all voronoi sites from the algorithm set are in the brut force set + for (Point voronoi_point : class_set) { + REQUIRE(std::find(brut_force_set.begin(), brut_force_set.end(), voronoi_point) != brut_force_set.end()); + } + } + } + + SECTION("Testing Complete Voronoi Map from Discrete Bisector Function paper") { + Point lowerBound(0, 0), upperBound(6, 7); + Domain domain(lowerBound, upperBound); + DigitalSet set(domain); + for (Point point : set.domain()) { + if (point != Point(1, 0) && + point != Point(5, 0) && + point != Point(2, 2) && + point != Point(4, 4) && + point != Point(0, 6) && + point != Point(6, 6) && + point != Point(3, 7)) + { + set.insert(point); + } + } + + TImageContainer * brutForceVoronoiMap = brut_force_voronoi_map_complete(set); + CompleteVMap vmap(set.domain(), set, Z2i::l2Metric); + + for (Point point : set) { + std::unordered_set brut_force_set = brutForceVoronoiMap->operator()(point); + CompleteVMap::Value class_set = vmap(point); + + // Cheking that all voronoi sites from the brut force set are in the algorithm set + for (Point voronoi_point : brut_force_set) { + REQUIRE(std::find(class_set.begin(), class_set.end(), voronoi_point) != class_set.end()); + } + + // Cheking that all voronoi sites from the algorithm set are in the brut force set + for (Point voronoi_point : class_set) { + REQUIRE(std::find(brut_force_set.begin(), brut_force_set.end(), voronoi_point) != brut_force_set.end()); + } + } + + } +} From e2dafdd61608114376b64d13b1e323be072ed880 Mon Sep 17 00:00:00 2001 From: David Coeurjolly Date: Thu, 9 Sep 2021 13:02:47 +0200 Subject: [PATCH 02/24] date issue --- .../geometry/volumes/distance/VoronoiMapComplete.ih | 9 ++++++--- 1 file changed, 6 insertions(+), 3 deletions(-) diff --git a/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.ih b/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.ih index 017e8e0292..422ca0412a 100644 --- a/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.ih +++ b/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.ih @@ -15,12 +15,15 @@ **/ /** - * @file VoronoiMap.ih + * @file + * + * @author Robin Lamy * @author David Coeurjolly (\c david.coeurjolly@liris.cnrs.fr ) * Laboratoire d'InfoRmatique en Image et Systèmes d'information - LIRIS (CNRS, UMR 5205), CNRS, France * - * @date 2012/08/14 - * + * initial 2012/08/14 + * @date 2021/07/20 + * Implementation of inline methods defined in VoronoiMap.h * * This file is part of the DGtal library. From f9c28e7ef0d71c713e2447850154b2b87ea6412b Mon Sep 17 00:00:00 2001 From: David Coeurjolly Date: Thu, 9 Sep 2021 16:06:12 +0200 Subject: [PATCH 03/24] std::unordered_set as container + timings --- .../volumes/distance/VoronoiMapComplete.h | 16 +- .../volumes/distance/VoronoiMapComplete.ih | 328 +++++++++--------- .../distance/testVoronoiMapComplete.cpp | 129 ++++--- 3 files changed, 257 insertions(+), 216 deletions(-) diff --git a/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h b/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h index f0872ec10e..e17a609849 100644 --- a/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h +++ b/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h @@ -46,6 +46,7 @@ #include #include #include +#include #include "DGtal/base/Common.h" #include "DGtal/base/CountedPtr.h" #include "DGtal/images/ImageContainerBySTLVector.h" @@ -81,10 +82,11 @@ namespace DGtal * that point (contrary to the class VoronoiMap that will only keep one of them). * This implies a computational overhead: * - if @f$ f @f$ is the max number of co-cyclic points per grid point, we - * have an extra @f$ O(f) @f$ factor to the computational cost (cf below) - * - As we have to use a specific container to store the per pixel equi-distant points + * have an extra @f$ O(f) @f$ factor to the computational cost (cf below), plus the cost + * of insertion/removal in the container (amortized 0(1) with std::unordered_set). + * - as we have to use a specific container to store the per pixel equi-distant points * we obviously have a memory overhead when there are equi-distant points, but a slight computational - * one too to access sites from the container (std::vector per grid point). + * one too to access sites from the container (std::unordered_set per grid point). * * By default, the domain is considered non-periodic but per-dimension * periodicity can be specified in the constructor. @@ -127,7 +129,7 @@ namespace DGtal typename TSeparableMetric, typename TImageContainer = ImageContainerBySTLVector, - std::vector > + std::unordered_set > > class VoronoiMapComplete { @@ -145,9 +147,9 @@ namespace DGtal //ImageContainer::Domain::Space must match with TSpace BOOST_STATIC_ASSERT ((boost::is_same< TSpace, typename TImageContainer::Domain::Space >::value )); - + //ImageContainer value type must be std::vector - BOOST_STATIC_ASSERT ((boost::is_same< std::vector, + BOOST_STATIC_ASSERT ((boost::is_same< std::unordered_set, typename TImageContainer::Value >::value )); //ImageContainer domain type must be HyperRectangular @@ -179,7 +181,7 @@ namespace DGtal typedef TImageContainer OutputImage; ///Definition of the image value type. - typedef typename TImageContainer::Value Value; + typedef typename OutputImage::Value Value; ///Definition of the image value type. typedef typename OutputImage::ConstRange ConstRange; diff --git a/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.ih b/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.ih index 422ca0412a..1168699507 100644 --- a/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.ih +++ b/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.ih @@ -56,25 +56,24 @@ DGtal::VoronoiMapComplete::compute( ) //We copy the image extent myLowerBoundCopy = myDomainPtr->lowerBound(); myUpperBoundCopy = myDomainPtr->upperBound(); - + //Point outside the domain for ( auto & coord : myInfinity ) coord = DGtal::NumberTraits< typename Point::Coordinate >::max(); - + //Init for ( auto const & pt : *myDomainPtr ) if ( (*myPointPredicatePtr)( pt )) { - std::vector myVectorInfinity; - myVectorInfinity.push_back(myInfinity); + Value myVectorInfinity; + myVectorInfinity.insert(myInfinity); myImagePtr->setValue ( pt, myVectorInfinity ); } else { - std::vector external_point; - external_point.push_back(pt); + Value external_point; + external_point.insert(pt); myImagePtr->setValue ( pt, external_point ); - external_point.pop_back(); } - + //We process the remaining dimensions for ( Dimension dim = 0; dim< S::dimension ; dim++ ) { computeOtherSteps ( dim ); @@ -90,7 +89,7 @@ DGtal::VoronoiMapComplete::computeOtherSteps ( const Dimensio std::string title = "VoronoiMap dimension " + boost::lexical_cast( dim ) ; trace.beginBlock ( title ); #endif - + //We setup the subdomain iterator //the iterator will scan dimension using the order: // {n-1, n-2, ... 1} (we skip the '0' dimension). @@ -99,27 +98,27 @@ DGtal::VoronoiMapComplete::computeOtherSteps ( const Dimensio for ( int k = 0; k < (int)S::dimension ; k++) if ( static_cast(((int)S::dimension - 1 - k)) != dim) subdomain.push_back( (int)S::dimension - 1 - k ); - + Domain localDomain(myLowerBoundCopy, myUpperBoundCopy); - + #ifdef WITH_OPENMP //Parallel loop std::vector subRangePoints; //Starting point precomputation for ( auto const & pt : localDomain.subRange( subdomain ) ) subRangePoints.push_back( pt ); - + //We run the 1D problems in // #pragma omp parallel for schedule(dynamic) for (size_t i = 0; i < subRangePoints.size(); ++i) computeOtherStep1D ( subRangePoints[i], dim); - + #else //We solve the 1D problems sequentially for ( auto const & pt : localDomain.subRange( subdomain ) ) computeOtherStep1D ( pt, dim); #endif - + #ifdef VERBOSE trace.endBlock(); #endif @@ -130,188 +129,189 @@ DGtal::VoronoiMapComplete::computeOtherSteps ( const Dimensio template void DGtal::VoronoiMapComplete::computeOtherStep1D ( const Point &startingPoint, - const Dimension dim) const + const Dimension dim) const { ASSERT(dim < S::dimension); - + // Default starting and ending point for a cycle Point startPoint = startingPoint; Point endPoint = startingPoint; startPoint[dim] = myLowerBoundCopy[dim]; endPoint[dim] = myUpperBoundCopy[dim]; - - std::vector myVectorInfinity; - myVectorInfinity.push_back(myInfinity); - + + Value myVectorInfinity; + myVectorInfinity.emplace(myInfinity); + // Extent along current dimension. const auto extent = myUpperBoundCopy[dim] - myLowerBoundCopy[dim] + 1; - + // Site storage. std::vector Sites; - + // Reserve sites storage. // +1 along periodic dimension in order to store two times the site that is on break index. Sites.reserve( extent + ( isPeriodic(dim) ? 1 : 0 ) ); - + // Pruning the list of sites and defining cycle bounds. // In the periodic case, the cycle bounds depend on the so-called break index // that defines the start point. if ( dim == 0 ) + { + // For dim = 0, no sites are hidden. + for ( auto point = startPoint ; point[dim] <= myUpperBoundCopy[dim] ; ++point[dim] ) { - // For dim = 0, no sites are hidden. - for ( auto point = startPoint ; point[dim] <= myUpperBoundCopy[dim] ; ++point[dim] ) + const Value psite = myImagePtr->operator()( point ); + if ( psite != myVectorInfinity ) { + for (Point voronoiPoint : psite) { + Sites.push_back( voronoiPoint ); + } + } + } + + // If no sites are found, then there is nothing to do. + if ( Sites.size() == 0 ) + return; + + // In the periodic case and along the first dimension, the break index + // is at the first site found. + if ( isPeriodic(dim) ) + { + startPoint[dim] = Sites[0][dim]; + endPoint[dim] = startPoint[dim] + extent - 1; + + // The first site is also the last site (with appropriate shift). + Sites.push_back( Sites[0] + Point::base(dim, extent) ); + } + } + else + { + // In the periodic case, the cycle depends on break index + if ( isPeriodic(dim) ) + { + // Along other than the first dimension, the break index is at the lowest site found. + auto minRawDist = DGtal::NumberTraits< typename SeparableMetric::RawValue >::max(); + + for ( auto point = startPoint; point[dim] <= myUpperBoundCopy[dim]; ++point[dim] ) + { + const Value psite = myImagePtr->operator()( point ); + + if ( psite != myVectorInfinity ) { - const Value psite = myImagePtr->operator()( point ); - if ( psite != myVectorInfinity ) { - for (Point voronoiPoint : psite) { - Sites.push_back( voronoiPoint ); - } + const auto rawDist = myMetricPtr->rawDistance( point, *(psite.begin()) ); // All distances to Voronoi sites are equal, we take the first one + if ( rawDist < minRawDist ) + { + minRawDist = rawDist; + startPoint[dim] = point[dim]; } } - + } + // If no sites are found, then there is nothing to do. - if ( Sites.size() == 0 ) + if ( minRawDist == DGtal::NumberTraits< typename SeparableMetric::RawValue >::max() ) return; - - // In the periodic case and along the first dimension, the break index - // is at the first site found. - if ( isPeriodic(dim) ) - { - startPoint[dim] = Sites[0][dim]; - endPoint[dim] = startPoint[dim] + extent - 1; - - // The first site is also the last site (with appropriate shift). - Sites.push_back( Sites[0] + Point::base(dim, extent) ); - } + + endPoint[dim] = startPoint[dim] + extent - 1; } - else + + // Pruning the list of sites for both periodic and non-periodic cases. + for( auto point = startPoint ; point[dim] <= myUpperBoundCopy[dim] ; ++point[dim] ) { - // In the periodic case, the cycle depends on break index - if ( isPeriodic(dim) ) - { - // Along other than the first dimension, the break index is at the lowest site found. - auto minRawDist = DGtal::NumberTraits< typename SeparableMetric::RawValue >::max(); - - for ( auto point = startPoint; point[dim] <= myUpperBoundCopy[dim]; ++point[dim] ) - { - const Value psite = myImagePtr->operator()( point ); - - if ( psite != myVectorInfinity ) - { - const auto rawDist = myMetricPtr->rawDistance( point, psite[0] ); // All distances to Voronoi sites are equal, we take the first one - if ( rawDist < minRawDist ) - { - minRawDist = rawDist; - startPoint[dim] = point[dim]; - } - } - } - - // If no sites are found, then there is nothing to do. - if ( minRawDist == DGtal::NumberTraits< typename SeparableMetric::RawValue >::max() ) - return; - - endPoint[dim] = startPoint[dim] + extent - 1; - } - - // Pruning the list of sites for both periodic and non-periodic cases. - for( auto point = startPoint ; point[dim] <= myUpperBoundCopy[dim] ; ++point[dim] ) - { - const Value psite = myImagePtr->operator()(point); - - if ( psite != myVectorInfinity ) - { - for (Point site : psite) { - while (( Sites.size() >= 2 ) && - ( myMetricPtr->hiddenBy(Sites[Sites.size()-2], Sites[Sites.size()-1] , - site, startingPoint, endPoint, dim) )) { - - Sites.pop_back(); - } - - Sites.push_back( site ); - } - } + const Value psite = myImagePtr->operator()(point); + + if ( psite != myVectorInfinity ) + { + for (Point site : psite) { + while (( Sites.size() >= 2 ) && + ( myMetricPtr->hiddenBy(Sites[Sites.size()-2], Sites[Sites.size()-1] , + site, startingPoint, endPoint, dim) )) { + + Sites.pop_back(); + } + + Sites.push_back( site ); } - - // Pruning the remaining list of sites in the periodic case. - if ( isPeriodic(dim) ) + } + } + + // Pruning the remaining list of sites in the periodic case. + if ( isPeriodic(dim) ) + { + auto point = startPoint; + point[dim] = myLowerBoundCopy[dim]; + for ( ; point[dim] <= endPoint[dim] - extent + 1; ++point[dim] ) // +1 in order to add the break-index site at the cycle's end. + { + const Value psite = myImagePtr->operator()(point); + + if ( psite != myVectorInfinity ) { - auto point = startPoint; - point[dim] = myLowerBoundCopy[dim]; - for ( ; point[dim] <= endPoint[dim] - extent + 1; ++point[dim] ) // +1 in order to add the break-index site at the cycle's end. - { - const Value psite = myImagePtr->operator()(point); - - if ( psite != myVectorInfinity ) - { - for (Point site : psite) { - // Site coordinates must be between startPoint and endPoint. - site[dim] += extent; - - while (( Sites.size() >= 2 ) && - ( myMetricPtr->hiddenBy(Sites[Sites.size()-2], Sites[Sites.size()-1] , - site, startingPoint, endPoint, dim) )) - Sites.pop_back(); - - Sites.push_back( site ); - } - } - } + for (Point site : psite) { + // Site coordinates must be between startPoint and endPoint. + site[dim] += extent; + + while (( Sites.size() >= 2 ) && + ( myMetricPtr->hiddenBy(Sites[Sites.size()-2], Sites[Sites.size()-1] , + site, startingPoint, endPoint, dim) )) + Sites.pop_back(); + + Sites.push_back( site ); + } } + } } - + } + // No sites found - if ( Sites.size() == 0 ) + if ( Sites.size() == 0 ) return; - + // Rewriting for both periodic and non-periodic cases. size_t siteId = 0; auto point = startPoint; uint64_t minimal_distance; for ( ; point[dim] <= myUpperBoundCopy[dim] ; ++point[dim] ) + { + Value voronoiSites = myImagePtr->operator()(point); + minimal_distance = myMetricPtr->rawDistance( *(voronoiSites.begin()), point); + + for (Point site : Sites) { - - Value voronoiSites = myImagePtr->operator()(point); - minimal_distance = myMetricPtr->rawDistance(voronoiSites[0], point); - - for (Point site : Sites) + if (myMetricPtr->rawDistance(site, point) < minimal_distance) + { + voronoiSites.clear(); + voronoiSites.emplace(site); + minimal_distance = myMetricPtr->rawDistance(site, point); + } + else + if((myMetricPtr->rawDistance(site, point) == minimal_distance) + && (std::find(voronoiSites.begin(), voronoiSites.end(), site) == voronoiSites.end())) { - if (myMetricPtr->rawDistance(site, point) < minimal_distance) { - while(!voronoiSites.empty()){ - voronoiSites.pop_back(); - } - voronoiSites.push_back(site); - minimal_distance = myMetricPtr->rawDistance(site, point); - - } else if((myMetricPtr->rawDistance(site, point) == minimal_distance) - && (std::find(voronoiSites.begin(), voronoiSites.end(), site) == voronoiSites.end())) { - voronoiSites.push_back(site); - } + voronoiSites.emplace(site); } - myImagePtr->setValue(point, voronoiSites); // On set le vecteur de site associé au point et non pas uniquement le premier site le plus proche qu'on a rencontré - } + } + myImagePtr->setValue(point, voronoiSites); // On set le vecteur de site associé au point et non pas uniquement le premier site le plus proche qu'on a rencontré + } // Continuing rewriting in the periodic case. if ( isPeriodic(dim) ) + { + for ( ; point[dim] <= endPoint[dim] ; ++point[dim] ) { - for ( ; point[dim] <= endPoint[dim] ; ++point[dim] ) + Value voronoiSites; + siteId = 0; + + while ( siteId < Sites.size()-1 ) + {// Idem ici en prenant en compte la périodicité + if ( myMetricPtr->closest(point, Sites[siteId], Sites[siteId+1]) == DGtal::ClosestFIRST ) { - std::vector voronoiSites; - siteId = 0; - - while ( siteId < Sites.size()-1 ) {// Idem ici en prenant en compte la périodicité - if ( myMetricPtr->closest(point, Sites[siteId], Sites[siteId+1]) == DGtal::ClosestFIRST ) { - voronoiSites.push_back(Sites[siteId] - Point::base(dim, extent)); - } - siteId++; - } - myImagePtr->setValue(point - Point::base(dim, extent), voronoiSites ); + voronoiSites.insert(Sites[siteId] - Point::base(dim, extent)); } + siteId++; + } + myImagePtr->setValue(point - Point::base(dim, extent), voronoiSites ); } - + } } @@ -321,12 +321,12 @@ DGtal::VoronoiMapComplete::computeOtherStep1D ( const Point &s template inline DGtal::VoronoiMapComplete::VoronoiMapComplete( ConstAlias aDomain, - ConstAlias aPredicate, - ConstAlias aMetric ) - : myDomainPtr(&aDomain) - , myPointPredicatePtr(&aPredicate) - , myDomainExtent( aDomain->upperBound() - aDomain->lowerBound() + Point::diagonal(1) ) - , myMetricPtr(&aMetric) + ConstAlias aPredicate, + ConstAlias aMetric ) +: myDomainPtr(&aDomain) +, myPointPredicatePtr(&aPredicate) +, myDomainExtent( aDomain->upperBound() - aDomain->lowerBound() + Point::diagonal(1) ) +, myMetricPtr(&aMetric) { myPeriodicitySpec.fill( false ); myImagePtr = CountedPtr( new OutputImage(aDomain) ); @@ -336,20 +336,20 @@ DGtal::VoronoiMapComplete::VoronoiMapComplete( ConstAlias inline DGtal::VoronoiMapComplete::VoronoiMapComplete( ConstAlias aDomain, - ConstAlias aPredicate, - ConstAlias aMetric, - PeriodicitySpec const & aPeriodicitySpec ) - : myDomainPtr(&aDomain) - , myPointPredicatePtr(&aPredicate) - , myDomainExtent( aDomain->upperBound() - aDomain->lowerBound() + Point::diagonal(1) ) - , myMetricPtr(&aMetric) - , myPeriodicitySpec(aPeriodicitySpec) + ConstAlias aPredicate, + ConstAlias aMetric, + PeriodicitySpec const & aPeriodicitySpec ) +: myDomainPtr(&aDomain) +, myPointPredicatePtr(&aPredicate) +, myDomainExtent( aDomain->upperBound() - aDomain->lowerBound() + Point::diagonal(1) ) +, myMetricPtr(&aMetric) +, myPeriodicitySpec(aPeriodicitySpec) { // Finding periodic dimension index. for ( Dimension i = 0; i < Space::dimension; ++i ) if ( isPeriodic(i) ) myPeriodicityIndex.push_back( i ); - + myImagePtr = CountedPtr( new OutputImage(aDomain) ); compute(); } @@ -361,7 +361,7 @@ DGtal::VoronoiMapComplete::projectPoint( Point aPoint ) con { for ( auto const & dim : myPeriodicityIndex ) aPoint[ dim ] = projectCoordinate( aPoint[ dim ], dim ); - + return aPoint; } @@ -390,7 +390,7 @@ template inline std::ostream& DGtal::operator<< ( std::ostream & out, - const VoronoiMapComplete & object ) + const VoronoiMapComplete & object ) { object.selfDisplay( out ); return out; diff --git a/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp b/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp index f9a873520b..d1b34294ae 100644 --- a/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp +++ b/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp @@ -16,7 +16,7 @@ /** * @file - * @ingroup Tests + * @ingroup Tests * @author Robin Lamy * * @date 2021/07/20 @@ -34,6 +34,7 @@ #include "DGtalCatch.h" #include "DGtal/geometry/volumes/distance/VoronoiMapComplete.h" +#include "DGtal/geometry/volumes/distance/VoronoiMap.h" /////////////////////////////////////////////////////////////////////////////// @@ -44,6 +45,7 @@ typedef Z2i::Point Point; typedef Z2i::Domain Domain; typedef VoronoiMapComplete CompleteVMap; +typedef VoronoiMap VMap; typedef ImageContainerBySTLVector, std::unordered_set > TImageContainer; TImageContainer * brut_force_voronoi_map_complete(DigitalSet & set) { @@ -58,9 +60,9 @@ TImageContainer * brut_force_voronoi_map_complete(DigitalSet & set) { } } std::cout << std::endl; - + for (Point point : set.domain()) { - + std::unordered_set voronoi_points; double voronoi_distance = std::numeric_limits::max(); // maximum int value for (Point site : Sites) { @@ -72,7 +74,7 @@ TImageContainer * brut_force_voronoi_map_complete(DigitalSet & set) { voronoi_points.insert(site); } } - + voronoi_map->setValue(point, voronoi_points); } return voronoi_map; @@ -91,9 +93,10 @@ TEST_CASE( "Testing VoronoiMapComplete 2D" ) DigitalSet set(domain); int point_setup_index = 0; - int x, y; - - while (point_setup_index < 400) { + int x, y; + + while (point_setup_index < 400) + { x = rand()%32; y = rand()%32; if (!set(Point(x, y))) { @@ -101,34 +104,34 @@ TEST_CASE( "Testing VoronoiMapComplete 2D" ) point_setup_index++; } } - + /** * Voronoi Map Complete from class generation */ CompleteVMap vmap(set.domain(), set, Z2i::l2Metric); - + /** * Voronoi Map Complete from brut force generation */ TImageContainer * brut_force_vmap = brut_force_voronoi_map_complete(set); - + SECTION("Testing that VoronoiMapComplete class gives the right voronoi sites sets") - { - for (Point point : set) { - std::unordered_set brut_force_set = brut_force_vmap->operator()(point); - CompleteVMap::Value class_set = vmap(point); - - // Cheking that all voronoi sites from the brut force set are in the algorithm set - for (Point voronoi_point : brut_force_set) { - REQUIRE(std::find(class_set.begin(), class_set.end(), voronoi_point) != class_set.end()); - } - - // Cheking that all voronoi sites from the algorithm set are in the brut force set - for (Point voronoi_point : class_set) { - REQUIRE(std::find(brut_force_set.begin(), brut_force_set.end(), voronoi_point) != brut_force_set.end()); - } + { + for (Point point : set) { + std::unordered_set brut_force_set = brut_force_vmap->operator()(point); + CompleteVMap::Value class_set = vmap(point); + + // Cheking that all voronoi sites from the brut force set are in the algorithm set + for (Point voronoi_point : brut_force_set) { + REQUIRE(std::find(class_set.begin(), class_set.end(), voronoi_point) != class_set.end()); + } + + // Cheking that all voronoi sites from the algorithm set are in the brut force set + for (Point voronoi_point : class_set) { + REQUIRE(std::find(brut_force_set.begin(), brut_force_set.end(), voronoi_point) != brut_force_set.end()); } } + } SECTION("Testing Complete Voronoi Map from Discrete Bisector Function paper") { Point lowerBound(0, 0), upperBound(6, 7); @@ -138,32 +141,68 @@ TEST_CASE( "Testing VoronoiMapComplete 2D" ) if (point != Point(1, 0) && point != Point(5, 0) && point != Point(2, 2) && - point != Point(4, 4) && + point != Point(4, 4) && point != Point(0, 6) && - point != Point(6, 6) && + point != Point(6, 6) && point != Point(3, 7)) - { - set.insert(point); - } + { + set.insert(point); + } } - + TImageContainer * brutForceVoronoiMap = brut_force_voronoi_map_complete(set); CompleteVMap vmap(set.domain(), set, Z2i::l2Metric); - + for (Point point : set) { - std::unordered_set brut_force_set = brutForceVoronoiMap->operator()(point); - CompleteVMap::Value class_set = vmap(point); - - // Cheking that all voronoi sites from the brut force set are in the algorithm set - for (Point voronoi_point : brut_force_set) { - REQUIRE(std::find(class_set.begin(), class_set.end(), voronoi_point) != class_set.end()); - } - - // Cheking that all voronoi sites from the algorithm set are in the brut force set - for (Point voronoi_point : class_set) { - REQUIRE(std::find(brut_force_set.begin(), brut_force_set.end(), voronoi_point) != brut_force_set.end()); - } + std::unordered_set brut_force_set = brutForceVoronoiMap->operator()(point); + CompleteVMap::Value class_set = vmap(point); + + // Cheking that all voronoi sites from the brut force set are in the algorithm set + for (Point voronoi_point : brut_force_set) { + REQUIRE(std::find(class_set.begin(), class_set.end(), voronoi_point) != class_set.end()); } - - } + + // Cheking that all voronoi sites from the algorithm set are in the brut force set + for (Point voronoi_point : class_set) { + REQUIRE(std::find(brut_force_set.begin(), brut_force_set.end(), voronoi_point) != brut_force_set.end()); + } + } + + } +} +TEST_CASE( "Testing Timings" ) +{ + /** + * Random set generation + */ + Point lowerBound(0, 0), upperBound(128, 128); + Domain domain(lowerBound, upperBound); + + DigitalSet set(domain); + int point_setup_index = 0; + int x, y; + + while (point_setup_index < 10000) + { + x = rand()%128; + y = rand()%128; + if (!set(Point(x, y))) { + set.insert(Point(x, y)); + point_setup_index++; + } + } + + trace.beginBlock("Complete Map"); + CompleteVMap vmap(set.domain(), set, Z2i::l2Metric); + trace.endBlock(); + + size_t maxsize=0; + for(auto &v: vmap.constRange()) + maxsize = std::max(maxsize, v.size()); + trace.info() << "Max number of co-cyclic points = "< Date: Thu, 9 Sep 2021 16:09:53 +0200 Subject: [PATCH 04/24] std::unordered_set as container + timings --- tests/geometry/volumes/distance/testVoronoiMapComplete.cpp | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp b/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp index d1b34294ae..732edf3c1a 100644 --- a/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp +++ b/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp @@ -93,7 +93,8 @@ TEST_CASE( "Testing VoronoiMapComplete 2D" ) DigitalSet set(domain); int point_setup_index = 0; - int x, y; + int x; + int y; while (point_setup_index < 400) { @@ -180,7 +181,8 @@ TEST_CASE( "Testing Timings" ) DigitalSet set(domain); int point_setup_index = 0; - int x, y; + int x; + int y; while (point_setup_index < 10000) { From 97c40187148caa3b124e94ed42f8e1fa1bd63f15 Mon Sep 17 00:00:00 2001 From: David Coeurjolly Date: Thu, 9 Sep 2021 16:15:44 +0200 Subject: [PATCH 05/24] Minor edits. --- src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h | 2 -- 1 file changed, 2 deletions(-) diff --git a/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h b/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h index e17a609849..3b4f481a83 100644 --- a/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h +++ b/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h @@ -112,8 +112,6 @@ namespace DGtal * * This class is a model of concepts::CConstImage. * - * @see   \ref toricVol - * * @tparam TSpace type of Digital Space (model of concepts::CSpace). * @tparam TPointPredicate point predicate returning true for points * from which we compute the distance (model of concepts::CPointPredicate) From 5fac2cbe67e759e2828640b5f792827df2c1cdfd Mon Sep 17 00:00:00 2001 From: David Coeurjolly Date: Thu, 9 Sep 2021 16:18:54 +0200 Subject: [PATCH 06/24] std::unordered_set as container + timings --- tests/geometry/volumes/distance/testVoronoiMapComplete.cpp | 4 +--- 1 file changed, 1 insertion(+), 3 deletions(-) diff --git a/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp b/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp index 732edf3c1a..e187a14dd9 100644 --- a/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp +++ b/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp @@ -36,8 +36,6 @@ #include "DGtal/geometry/volumes/distance/VoronoiMapComplete.h" #include "DGtal/geometry/volumes/distance/VoronoiMap.h" /////////////////////////////////////////////////////////////////////////////// - - using namespace DGtal; typedef Z2i::DigitalSet DigitalSet; @@ -74,7 +72,6 @@ TImageContainer * brut_force_voronoi_map_complete(DigitalSet & set) { voronoi_points.insert(site); } } - voronoi_map->setValue(point, voronoi_points); } return voronoi_map; @@ -171,6 +168,7 @@ TEST_CASE( "Testing VoronoiMapComplete 2D" ) } } + TEST_CASE( "Testing Timings" ) { /** From 0c248356554072a90c49c53e43c4d03e6aad5e9e Mon Sep 17 00:00:00 2001 From: David Coeurjolly Date: Tue, 5 Oct 2021 12:38:46 +0200 Subject: [PATCH 07/24] Reverting to std::set instead of std::unordered_set for performance issues. --- .../volumes/distance/VoronoiMapComplete.h | 4 +-- .../distance/testVoronoiMapComplete.cpp | 35 ++++++++++++++----- 2 files changed, 29 insertions(+), 10 deletions(-) diff --git a/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h b/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h index 3b4f481a83..a569b7089f 100644 --- a/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h +++ b/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h @@ -127,7 +127,7 @@ namespace DGtal typename TSeparableMetric, typename TImageContainer = ImageContainerBySTLVector, - std::unordered_set > + std::set > > class VoronoiMapComplete { @@ -147,7 +147,7 @@ namespace DGtal typename TImageContainer::Domain::Space >::value )); //ImageContainer value type must be std::vector - BOOST_STATIC_ASSERT ((boost::is_same< std::unordered_set, + BOOST_STATIC_ASSERT ((boost::is_same< std::set, typename TImageContainer::Value >::value )); //ImageContainer domain type must be HyperRectangular diff --git a/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp b/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp index e187a14dd9..0af5e007ce 100644 --- a/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp +++ b/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp @@ -169,12 +169,34 @@ TEST_CASE( "Testing VoronoiMapComplete 2D" ) } } + +TEST_CASE( "No sites" ) +{ + /** + * Random set generation + */ + Point lowerBound(0, 0), upperBound(255, 255); + Domain domain(lowerBound, upperBound); + + DigitalSet set(domain); + int point_setup_index = 0; + int x; + int y; + + trace.beginBlock("Complete Map (no site)"); + CompleteVMap vmap(set.domain(), set, Z2i::l2Metric); + trace.endBlock(); + trace.beginBlock("Partial Map (no site)"); + VMap partialmap(set.domain(), set, Z2i::l2Metric); + trace.endBlock(); +} + TEST_CASE( "Testing Timings" ) { /** * Random set generation */ - Point lowerBound(0, 0), upperBound(128, 128); + Point lowerBound(0, 0), upperBound(255, 255); Domain domain(lowerBound, upperBound); DigitalSet set(domain); @@ -182,16 +204,14 @@ TEST_CASE( "Testing Timings" ) int x; int y; - while (point_setup_index < 10000) + while (point_setup_index < 5000) { x = rand()%128; y = rand()%128; - if (!set(Point(x, y))) { - set.insert(Point(x, y)); - point_setup_index++; - } + set.insert(Point(x, y)); + point_setup_index++; } - + std::cout< Date: Tue, 5 Oct 2021 13:03:32 +0200 Subject: [PATCH 08/24] clang-format --- .../distance/testVoronoiMapComplete.cpp | 243 +++++++++--------- 1 file changed, 128 insertions(+), 115 deletions(-) diff --git a/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp b/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp index 0af5e007ce..dbb609b038 100644 --- a/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp +++ b/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp @@ -44,35 +44,44 @@ typedef Z2i::Domain Domain; typedef VoronoiMapComplete CompleteVMap; typedef VoronoiMap VMap; -typedef ImageContainerBySTLVector, std::unordered_set > TImageContainer; +typedef ImageContainerBySTLVector, + std::unordered_set> +TImageContainer; -TImageContainer * brut_force_voronoi_map_complete(DigitalSet & set) { - - TImageContainer *voronoi_map = new TImageContainer(set.domain()); - +TImageContainer * brut_force_voronoi_map_complete( DigitalSet & set ) +{ + TImageContainer * voronoi_map = new TImageContainer( set.domain() ); std::vector Sites; // Getting all voronoi sites in one vector - for (Point point : set.domain()) { - if (!set(point)) { - Sites.push_back(point); + for ( Point point : set.domain() ) + { + if ( !set( point ) ) + { + Sites.push_back( point ); } } std::cout << std::endl; - - for (Point point : set.domain()) { - + + for ( Point point : set.domain() ) + { + std::unordered_set voronoi_points; - double voronoi_distance = std::numeric_limits::max(); // maximum int value - for (Point site : Sites) { - if ((point - site).norm() < voronoi_distance) { + double voronoi_distance = + std::numeric_limits::max(); // maximum int value + for ( Point site : Sites ) + { + if ( ( point - site ).norm() < voronoi_distance ) + { voronoi_points.clear(); - voronoi_points.insert(site); - voronoi_distance = (point - site).norm(); - } else if ((point - site).norm() == voronoi_distance) { - voronoi_points.insert(site); + voronoi_points.insert( site ); + voronoi_distance = ( point - site ).norm(); + } + else if ( ( point - site ).norm() == voronoi_distance ) + { + voronoi_points.insert( site ); } } - voronoi_map->setValue(point, voronoi_points); + voronoi_map->setValue( point, voronoi_points ); } return voronoi_map; } @@ -85,109 +94,113 @@ TEST_CASE( "Testing VoronoiMapComplete 2D" ) /** * Random set generation */ - Point lowerBound(0, 0), upperBound(31, 31); - Domain domain(lowerBound, upperBound); - - DigitalSet set(domain); + Point lowerBound( 0, 0 ), upperBound( 31, 31 ); + Domain domain( lowerBound, upperBound ); + + DigitalSet set( domain ); int point_setup_index = 0; int x; int y; - - while (point_setup_index < 400) + + while ( point_setup_index < 400 ) { - x = rand()%32; - y = rand()%32; - if (!set(Point(x, y))) { - set.insert(Point(x, y)); - point_setup_index++; - } + x = rand() % 32; + y = rand() % 32; + set.insert( Point( x, y ) ); + point_setup_index++; } - + /** * Voronoi Map Complete from class generation */ - CompleteVMap vmap(set.domain(), set, Z2i::l2Metric); - + CompleteVMap vmap( set.domain(), set, Z2i::l2Metric ); + /** * Voronoi Map Complete from brut force generation */ - TImageContainer * brut_force_vmap = brut_force_voronoi_map_complete(set); - - SECTION("Testing that VoronoiMapComplete class gives the right voronoi sites sets") + TImageContainer * brut_force_vmap = brut_force_voronoi_map_complete( set ); + + SECTION( + "Testing that VoronoiMapComplete class gives the right voronoi sites sets" ) { - for (Point point : set) { - std::unordered_set brut_force_set = brut_force_vmap->operator()(point); - CompleteVMap::Value class_set = vmap(point); - - // Cheking that all voronoi sites from the brut force set are in the algorithm set - for (Point voronoi_point : brut_force_set) { - REQUIRE(std::find(class_set.begin(), class_set.end(), voronoi_point) != class_set.end()); + for ( Point point : set ) + { + std::unordered_set brut_force_set = + brut_force_vmap->operator()( point ); + CompleteVMap::Value class_set = vmap( point ); + + // Cheking that all voronoi sites from the brut force set are in the + // algorithm set + for ( Point voronoi_point : brut_force_set ) + { + REQUIRE( std::find( class_set.begin(), class_set.end(), + voronoi_point ) != class_set.end() ); } - - // Cheking that all voronoi sites from the algorithm set are in the brut force set - for (Point voronoi_point : class_set) { - REQUIRE(std::find(brut_force_set.begin(), brut_force_set.end(), voronoi_point) != brut_force_set.end()); + + // Cheking that all voronoi sites from the algorithm set are in the brut + // force set + for ( Point voronoi_point : class_set ) + { + REQUIRE( std::find( brut_force_set.begin(), brut_force_set.end(), + voronoi_point ) != brut_force_set.end() ); } } } - - SECTION("Testing Complete Voronoi Map from Discrete Bisector Function paper") { - Point lowerBound(0, 0), upperBound(6, 7); - Domain domain(lowerBound, upperBound); - DigitalSet set(domain); - for (Point point : set.domain()) { - if (point != Point(1, 0) && - point != Point(5, 0) && - point != Point(2, 2) && - point != Point(4, 4) && - point != Point(0, 6) && - point != Point(6, 6) && - point != Point(3, 7)) - { - set.insert(point); - } + + SECTION( + "Testing Complete Voronoi Map from Discrete Bisector Function paper" ) + { + Point lowerBound( 0, 0 ), upperBound( 6, 7 ); + Domain domain( lowerBound, upperBound ); + DigitalSet set( domain ); + for ( Point point : set.domain() ) + { + if ( point != Point( 1, 0 ) && point != Point( 5, 0 ) && + point != Point( 2, 2 ) && point != Point( 4, 4 ) && + point != Point( 0, 6 ) && point != Point( 6, 6 ) && + point != Point( 3, 7 ) ) + set.insert( point ); } - - TImageContainer * brutForceVoronoiMap = brut_force_voronoi_map_complete(set); - CompleteVMap vmap(set.domain(), set, Z2i::l2Metric); - - for (Point point : set) { - std::unordered_set brut_force_set = brutForceVoronoiMap->operator()(point); - CompleteVMap::Value class_set = vmap(point); - - // Cheking that all voronoi sites from the brut force set are in the algorithm set - for (Point voronoi_point : brut_force_set) { - REQUIRE(std::find(class_set.begin(), class_set.end(), voronoi_point) != class_set.end()); - } - - // Cheking that all voronoi sites from the algorithm set are in the brut force set - for (Point voronoi_point : class_set) { - REQUIRE(std::find(brut_force_set.begin(), brut_force_set.end(), voronoi_point) != brut_force_set.end()); - } + + TImageContainer * brutForceVoronoiMap = + brut_force_voronoi_map_complete( set ); + CompleteVMap vmap( set.domain(), set, Z2i::l2Metric ); + + for ( Point point : set ) + { + std::unordered_set brut_force_set = + brutForceVoronoiMap->operator()( point ); + CompleteVMap::Value class_set = vmap( point ); + + // Cheking that all voronoi sites from the brut force set are in the + // algorithm set + for ( Point voronoi_point : brut_force_set ) + REQUIRE( std::find( class_set.begin(), class_set.end(), + voronoi_point ) != class_set.end() ); + + // Cheking that all voronoi sites from the algorithm set are in the brut + // force set + for ( Point voronoi_point : class_set ) + REQUIRE( std::find( brut_force_set.begin(), brut_force_set.end(), + voronoi_point ) != brut_force_set.end() ); } - } } - TEST_CASE( "No sites" ) { /** * Random set generation */ - Point lowerBound(0, 0), upperBound(255, 255); - Domain domain(lowerBound, upperBound); - - DigitalSet set(domain); - int point_setup_index = 0; - int x; - int y; - - trace.beginBlock("Complete Map (no site)"); - CompleteVMap vmap(set.domain(), set, Z2i::l2Metric); + Point lowerBound( 0, 0 ), upperBound( 255, 255 ); + Domain domain( lowerBound, upperBound ); + DigitalSet set( domain ); + + trace.beginBlock( "Complete Map (no site)" ); + CompleteVMap vmap( set.domain(), set, Z2i::l2Metric ); trace.endBlock(); - trace.beginBlock("Partial Map (no site)"); - VMap partialmap(set.domain(), set, Z2i::l2Metric); + trace.beginBlock( "Partial Map (no site)" ); + VMap partialmap( set.domain(), set, Z2i::l2Metric ); trace.endBlock(); } @@ -196,32 +209,32 @@ TEST_CASE( "Testing Timings" ) /** * Random set generation */ - Point lowerBound(0, 0), upperBound(255, 255); - Domain domain(lowerBound, upperBound); - - DigitalSet set(domain); + Point lowerBound( 0, 0 ), upperBound( 255, 255 ); + Domain domain( lowerBound, upperBound ); + + DigitalSet set( domain ); int point_setup_index = 0; int x; int y; - - while (point_setup_index < 5000) + + while ( point_setup_index < 5000 ) { - x = rand()%128; - y = rand()%128; - set.insert(Point(x, y)); + x = rand() % 128; + y = rand() % 128; + set.insert( Point( x, y ) ); point_setup_index++; } - std::cout< Date: Tue, 5 Oct 2021 13:50:57 +0200 Subject: [PATCH 09/24] documentation --- AUTHORS | 3 +- src/DGtal/doc/global.bib | 11 ++++ src/DGtal/geometry/doc/moduleVolumetric.dox | 54 +++++++++++++++++-- .../distance/testVoronoiMapComplete.cpp | 4 +- 4 files changed, 65 insertions(+), 7 deletions(-) diff --git a/AUTHORS b/AUTHORS index 5e1fc33220..f1db1527e2 100644 --- a/AUTHORS +++ b/AUTHORS @@ -28,4 +28,5 @@ Boris Mansencal Raphael Lenain Johanna Delanoy Phuc Ngo -J. Miguel Salazar \ No newline at end of file +J. Miguel Salazar +Robin Lamy \ No newline at end of file diff --git a/src/DGtal/doc/global.bib b/src/DGtal/doc/global.bib index e37d921bac..7af375b1d4 100644 --- a/src/DGtal/doc/global.bib +++ b/src/DGtal/doc/global.bib @@ -598,6 +598,17 @@ @InProceedings{dcoeurjo_metric14 url = {http://liris.cnrs.fr/publis/?id=6698} } +@article{Couprie2007, + title={Discrete bisector function and Euclidean skeleton in 2D and 3D}, + author={Couprie, Michel and Coeurjolly, David and Zrour, Rita}, + journal={Image and Vision Computing}, + volume={25}, + number={10}, + pages={1543--1556}, + year={2007}, + publisher={Elsevier} +} + @article{dcoeurjo_pami_RDMA, Month = {mar}, diff --git a/src/DGtal/geometry/doc/moduleVolumetric.dox b/src/DGtal/geometry/doc/moduleVolumetric.dox index ee867621a8..ad2293b331 100644 --- a/src/DGtal/geometry/doc/moduleVolumetric.dox +++ b/src/DGtal/geometry/doc/moduleVolumetric.dox @@ -21,7 +21,7 @@ namespace DGtal { [TOC] -@author David Coeurjolly, Roland Denis +@author David Coeurjolly, Roland Denis, Robin Lamy (VoronoiComplete) This part of the manual describes the DGtal volumetric module. We focus here on separable process based volumetric analysis such as @@ -102,7 +102,9 @@ similarly. output of the result is the intersection between the Voronoi diagram of exterior points with @f$ \mathbb{Z}^d @f$. Furthermore, along Voronoi faces (@e e.i. when two sites are equidistant), only one sites -is considered when intersection with @f$ \mathbb{Z}^d @f$. +is considered when intersection with @f$ \mathbb{Z}^d @f$. If you +want the complete Voronoi map (i.e. h @f$ \mathcal{V}\cap\mathbb{Z}^d +@f$, have a look to @ref vorocomplete. In DGtal, the class VoronoiMap implements such digital Vornoi map @@ -210,6 +212,50 @@ new Voronoi map: @image html voronoimap-vorol8.png "Voronoi map for the l_8 metric." @image latex voronoimap-vorol8.png "Voronoi map for the l_8 metric." +@section vorocomplete Complete Discrete Voronoi Map + +In this section, we describe the VoronoiMapComplete class that implements +the complete Voronoi map with all co-cyclic points. More precisely if +a grid point is equidistant to two sites, the two sites are reported +in the VoronoiComplete map + +This extension of the separable approach has been described in @cite Couprie2007 + +The overall algorithm is roughly the same +(separable decomposition, each grid point is processed a constant +amount of time), the only difference is that per grid point, we need +to iterate over all co-cyclic sites obtained from the partial Voronoi +map of the preceding dimensions. If the domain has no co-cycling +sites, the asymptotic computational cost is exactly the same as +VoronoiMap, if not, there is an extra factor that is a function of the +number of co-cyclic points. + +The interface is exactly the same as the VoronoiMap, except that the +output image is an image of `std::set` instead of an image of +`Point`. As we rely on `std::set` as a per pixel container, and if +@f$f@f$ denotes the number of co-cyclic sites at a point, the extra +factor is in @f$ O(f \log f) @f$ (as insertion is expected to be done +in logarithmic time for `std::set`). + + +@note Beside the extra computational cost due to the processing of +co-cyclic sites, the VoronoiMapComplete class as a bigger constant +factor due to the construction of the container. Indeed, as +illustrated in @ref testVoronoiMapComplete, creating a VoronoiMap on a +256x256 image without any site 4ms, whereas the same size +VoronoiMapComplete (still no sites) takes 118ms (on a MacPro). To be +complete, when adding 5000 random sites, VoronoiMap takes 6.2ms in +total, and 162ms for the VoronoiMapComplete (maximum number of +co-cyclic sites = 4). The construction time should be amortized on +larger domains. + +@note Associative containers with O(1) amortized insertion like +`std::unordered_set` lead to higher construction time without a clear +improvment on the overall performances. + +The VoronoiMapComplete class can also be applied on toroidal domains +(see @ref toricVol). + @section DTsec Distance Transformation As discussed earlier, the distance transformation is given by @@ -301,13 +347,13 @@ ExactPredicateLpPowerSeparableMetric, see @ref moduleMetrics In some specific applications, toric domains and volumetric analysis of shapes in toric domains are crucial. Thanks to the separability -property of VoronoiMap, PowerMap (and their associated wrappers +property of VoronoiMap, VoronoiMapComplete, PowerMap (and their associated wrappers DistanceTransformation and ReverseDistanceTransformation), one can easily consider volumetric transformation in arbitrary dimension on toric domains @cite Coeurjo2008. Note that changing the periodicity property of the domain has no impact on the computational cost. -More precisely, VoronoiMap and DistanceTransformation classes have +More precisely, VoronoiMap, VoronoiMapComplete and DistanceTransformation classes have constructors allowing to specify periodicity information. In dimension @e d, such periodicity information is an array with @e d boolean flags where the i-th value is \c true if the i-th dimension of the space is diff --git a/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp b/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp index dbb609b038..5f775f3baa 100644 --- a/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp +++ b/tests/geometry/volumes/distance/testVoronoiMapComplete.cpp @@ -219,8 +219,8 @@ TEST_CASE( "Testing Timings" ) while ( point_setup_index < 5000 ) { - x = rand() % 128; - y = rand() % 128; + x = rand() % 256; + y = rand() % 256; set.insert( Point( x, y ) ); point_setup_index++; } From 1a1d782b93c51f372e6aa2e9017e7d5770ecd507 Mon Sep 17 00:00:00 2001 From: David Coeurjolly Date: Tue, 5 Oct 2021 14:08:33 +0200 Subject: [PATCH 10/24] Changelog --- ChangeLog.md | 6 ++++++ src/DGtal/geometry/doc/moduleVolumetric.dox | 2 +- 2 files changed, 7 insertions(+), 1 deletion(-) diff --git a/ChangeLog.md b/ChangeLog.md index df3e6bedec..0a286aac55 100644 --- a/ChangeLog.md +++ b/ChangeLog.md @@ -26,6 +26,12 @@ (Bertrand Kerautret, Phuc Ngo and David Coeurjolly [#1593](https://github.com/DGtal-team/DGtal/pull/1593)) +- *Geometry* + - New VoronoiMapComplete class to store the full Voronoi map (with + all co-cycling sites (Robin Lamy, David Coeurjolly, Isabelle + Sivignon [#1605](https://github.com/DGtal-team/DGtal/pull/1605)) + + - *Build* - New cmake option (DGTAL_RANDOMIZED_TESTING_THRESHOLD) to set the (approximated) % of unit-tests to build and run for randomized diff --git a/src/DGtal/geometry/doc/moduleVolumetric.dox b/src/DGtal/geometry/doc/moduleVolumetric.dox index ad2293b331..94e52ad333 100644 --- a/src/DGtal/geometry/doc/moduleVolumetric.dox +++ b/src/DGtal/geometry/doc/moduleVolumetric.dox @@ -241,7 +241,7 @@ in logarithmic time for `std::set`). @note Beside the extra computational cost due to the processing of co-cyclic sites, the VoronoiMapComplete class as a bigger constant factor due to the construction of the container. Indeed, as -illustrated in @ref testVoronoiMapComplete, creating a VoronoiMap on a +illustrated in testVoronoiMapComplete, creating a VoronoiMap on a 256x256 image without any site 4ms, whereas the same size VoronoiMapComplete (still no sites) takes 118ms (on a MacPro). To be complete, when adding 5000 random sites, VoronoiMap takes 6.2ms in From b5ba4412ca0c10eb18e9ca1bf1394580a2f4cceb Mon Sep 17 00:00:00 2001 From: David Coeurjolly Date: Thu, 7 Oct 2021 12:55:51 +0200 Subject: [PATCH 11/24] Documentation editing --- src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h | 8 +++++--- 1 file changed, 5 insertions(+), 3 deletions(-) diff --git a/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h b/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h index a569b7089f..0364d81b3a 100644 --- a/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h +++ b/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h @@ -70,7 +70,8 @@ namespace DGtal * The algorithm uses a seperable process to construct Voronoi maps * which has been described in @cite Maurer2003PAMI @cite dcoeurjo_these. - * Along periodic dimensions, the algorithm is adapted following @cite Coeurjo2008. + * Along periodic dimensions, the algorithm is adapted following @cite Coeurjo2008, + * and uses the co-cyclic site approach from @cite Couprie2007. * * Given a domain and a point predicate, an instance returns, for * each point in the domain, the collection of closest points for which the @@ -86,7 +87,9 @@ namespace DGtal * of insertion/removal in the container (amortized 0(1) with std::unordered_set). * - as we have to use a specific container to store the per pixel equi-distant points * we obviously have a memory overhead when there are equi-distant points, but a slight computational - * one too to access sites from the container (std::unordered_set per grid point). + * one too to access sites from the container (std::set per grid point). + * + * See @ref moduleVolumetric documnetation page. * * By default, the domain is considered non-periodic but per-dimension * periodicity can be specified in the constructor. @@ -350,7 +353,6 @@ namespace DGtal */ void compute ( ) ; - /** * Compute the other steps of the separable Voronoi map. * From 8c0b182524d4a7816d5babcd9866f45b9e5b63cc Mon Sep 17 00:00:00 2001 From: David Coeurjolly Date: Thu, 7 Oct 2021 12:56:55 +0200 Subject: [PATCH 12/24] Editing documentation --- src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h b/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h index 0364d81b3a..eace10b367 100644 --- a/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h +++ b/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h @@ -22,13 +22,13 @@ * @author David Coeurjolly (\c david.coeurjolly@liris.cnrs.fr ) * Laboratoire d'InfoRmatique en Image et Systèmes d'information - LIRIS (CNRS, UMR 5205), CNRS, France * - * @date 2012/08/14 + * @date 2021/09/30 * - * Header file for module VoronoiMap.cpp + * Header file for module VoronoiMapComplete.cpp * * This file is part of the DGtal library. * - * @see testVoronoiMap.cpp + * @see testVoronoiMapComplete.cpp */ #if defined(VoronoiMapComplete_RECURSES) From 473f693b18e20e6ceb4f59d6fa4fa0bd74d80b18 Mon Sep 17 00:00:00 2001 From: David Coeurjolly Date: Thu, 7 Oct 2021 13:01:50 +0200 Subject: [PATCH 13/24] Comments --- src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h | 1 - 1 file changed, 1 deletion(-) diff --git a/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h b/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h index eace10b367..06bb470c4e 100644 --- a/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h +++ b/src/DGtal/geometry/volumes/distance/VoronoiMapComplete.h @@ -30,7 +30,6 @@ * * @see testVoronoiMapComplete.cpp */ - #if defined(VoronoiMapComplete_RECURSES) #error Recursive header files inclusion detected in VoronoiMapComplete.h #else // defined(VoronoiMapComplete_RECURSES) From a6ec8395cbef9f2527867a745e6ca0a4ad97e413 Mon Sep 17 00:00:00 2001 From: David Coeurjolly Date: Thu, 7 Oct 2021 13:03:17 +0200 Subject: [PATCH 14/24] Fixing complexity --- .../poly/TMP/bunny-128-geodesic-multi.png | Bin 0 -> 176969 bytes .../doc/images/poly/TMP/bunny-128-geodesic.png | Bin 0 -> 173695 bytes .../doc/images/poly/TMP/bunny-128-source.png | Bin 0 -> 209098 bytes .../dec/doc/images/poly/TMP/bunny-128.png | Bin 0 -> 72247 bytes src/DGtal/dec/doc/images/poly/TMP/bunny-g.png | Bin 0 -> 86763 bytes .../dec/doc/images/poly/TMP/bunny-init.png | Bin 0 -> 130117 bytes src/DGtal/dec/doc/images/poly/TMP/bunny-u.png | Bin 0 -> 54528 bytes .../poly/TMP/bunnyReg-128-geodesic-multi.png | Bin 0 -> 128846 bytes .../images/poly/TMP/bunnyReg-128-geodesic.png | Bin 0 -> 127539 bytes .../images/poly/TMP/bunnyReg-128-source.png | Bin 0 -> 188174 bytes src/DGtal/dec/doc/images/poly/TMP/cat-g.png | Bin 0 -> 75853 bytes src/DGtal/dec/doc/images/poly/TMP/cat-init.png | Bin 0 -> 83913 bytes src/DGtal/dec/doc/images/poly/TMP/cat-u.png | Bin 0 -> 82154 bytes .../dec/doc/images/poly/TMP/goursat_grad.png | Bin 0 -> 161467 bytes .../doc/images/poly/TMP/goursat_gradcograd.png | Bin 0 -> 180084 bytes .../dec/doc/images/poly/TMP/goursat_phi.png | Bin 0 -> 112817 bytes .../volumes/distance/VoronoiMapComplete.h | 4 ++-- 17 files changed, 2 insertions(+), 2 deletions(-) create mode 100644 src/DGtal/dec/doc/images/poly/TMP/bunny-128-geodesic-multi.png create mode 100644 src/DGtal/dec/doc/images/poly/TMP/bunny-128-geodesic.png create mode 100644 src/DGtal/dec/doc/images/poly/TMP/bunny-128-source.png create mode 100644 src/DGtal/dec/doc/images/poly/TMP/bunny-128.png create mode 100644 src/DGtal/dec/doc/images/poly/TMP/bunny-g.png create mode 100644 src/DGtal/dec/doc/images/poly/TMP/bunny-init.png create mode 100644 src/DGtal/dec/doc/images/poly/TMP/bunny-u.png create mode 100644 src/DGtal/dec/doc/images/poly/TMP/bunnyReg-128-geodesic-multi.png create mode 100644 src/DGtal/dec/doc/images/poly/TMP/bunnyReg-128-geodesic.png create mode 100644 src/DGtal/dec/doc/images/poly/TMP/bunnyReg-128-source.png create mode 100644 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