Merge branch 'develop' of icube-forge.unistra.fr:cgogn/cgogn into develop

CGoGN/include/Algo/Geometry/area.h

@@ -74,9 +74,15 @@ typename PFP::REAL vertexBarycentricArea(typename PFP::MAP& map, Vertex v, const
 template <typename PFP>
 typename PFP::REAL vertexVoronoiArea(typename PFP::MAP& map, Vertex v, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position) ;
 
+template <typename PFP>
+typename PFP::REAL  edgeArea(typename PFP::MAP& map, Edge e, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position);
+
 template <typename PFP>
 void computeAreaFaces(typename PFP::MAP& map, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position, FaceAttribute<typename PFP::REAL, typename PFP::MAP>& face_area) ;
 
+template <typename PFP>
+void computeAreaEdges(typename PFP::MAP& map, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position, EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& edge_area);
+
 template <typename PFP>
 void computeOneRingAreaVertices(typename PFP::MAP& map, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position, VertexAttribute<typename PFP::REAL, typename PFP::MAP>& vertex_area) ;
 
@@ -88,9 +94,16 @@ void computeVoronoiAreaVertices(typename PFP::MAP& map, const VertexAttribute<ty
 
 namespace Parallel
 {
+
+template <typename PFP>
+typename PFP::REAL totalArea(typename PFP::MAP& map, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position) ;
+
 template <typename PFP>
 void computeAreaFaces(typename PFP::MAP& map, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position, FaceAttribute<typename PFP::REAL, typename PFP::MAP>& area);
 
+template <typename PFP>
+void computeAreaEdges(typename PFP::MAP& map, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position, EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& area);
+
 template <typename PFP>
 void computeOneRingAreaVertices(typename PFP::MAP& map, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position, VertexAttribute<typename PFP::REAL, typename PFP::MAP>& area);
 
@@ -99,8 +112,10 @@ void computeBarycentricAreaVertices(typename PFP::MAP& map, const VertexAttribut
 
 template <typename PFP>
 void computeVoronoiAreaVertices(typename PFP::MAP& map, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position, VertexAttribute<typename PFP::REAL, typename PFP::MAP>& area);
+
 } // namespace Parallel
 
+
 } // namespace Geometry
 
 } // namespace Surface

CGoGN/include/Algo/Geometry/area.hpp

@@ -74,15 +74,19 @@ typename PFP::REAL convexFaceArea(typename PFP::MAP& map, Face d, const VertexAt
 template <typename PFP>
 typename PFP::REAL totalArea(typename PFP::MAP& map, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position)
 {
-	typename PFP::REAL area(0) ;
+	if (CGoGN::Parallel::NumberOfThreads > 1)
+	{
+		return Parallel::totalArea<PFP>(map, position);
+	}
+
+	typename PFP::REAL area(0);
 
 	foreach_cell<FACE>(map, [&] (Face f)
 	{
 		area += convexFaceArea<PFP>(map, f, position);
 	}
 	,AUTO);
-	return area ;
-
+	return area;
 }
 
 template <typename PFP>
@@ -137,12 +141,23 @@ typename PFP::REAL vertexVoronoiArea(typename PFP::MAP& map, Vertex v, const Ver
 }
 
 template <typename PFP>
-void computeAreaFaces(typename PFP::MAP& map, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position, FaceAttribute<typename PFP::REAL, typename PFP::MAP>& face_area)
+typename PFP::REAL edgeArea(typename PFP::MAP& map, Edge e, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position)
 {
+	typename PFP::REAL area(0) ;
+
+	foreach_incident2<FACE>(map, e, [&] (Face f)
+	{
+		area += convexFaceArea<PFP>(map, f, position) / map.faceDegree(f) ;
+	});
+	return area ;
+}
 
+template <typename PFP>
+void computeAreaFaces(typename PFP::MAP& map, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position, FaceAttribute<typename PFP::REAL, typename PFP::MAP>& face_area)
+{
 	if (CGoGN::Parallel::NumberOfThreads > 1)
 	{
-		Parallel::computeAreaFaces<PFP>(map,position,face_area);
+		Parallel::computeAreaFaces<PFP>(map, position, face_area);
 		return;
 	}
 
@@ -151,7 +166,22 @@ void computeAreaFaces(typename PFP::MAP& map, const VertexAttribute<typename PFP
 		face_area[f] = convexFaceArea<PFP>(map, f, position) ;
 	}
 	,AUTO);
+}
 
+template <typename PFP>
+void computeAreaEdges(typename PFP::MAP& map, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position, EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& edge_area)
+{
+	if (CGoGN::Parallel::NumberOfThreads > 1)
+	{
+		Parallel::computeAreaEdges<PFP>(map, position, edge_area);
+		return;
+	}
+
+	foreach_cell<EDGE>(map, [&] (Edge e)
+	{
+		edge_area[e] = edgeArea<PFP>(map, e, position) ;
+	}
+	,AUTO);
 }
 
 template <typename PFP>
@@ -215,6 +245,24 @@ void computeVoronoiAreaVertices(typename PFP::MAP& map, const VertexAttribute<ty
 namespace Parallel
 {
 
+template <typename PFP>
+typename PFP::REAL totalArea(typename PFP::MAP& map, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position)
+{
+	std::vector<typename PFP::REAL> areas;
+	areas.resize(CGoGN::Parallel::NumberOfThreads);
+
+	CGoGN::Parallel::foreach_cell<FACE>(map, [&] (Face f, unsigned int thr)
+	{
+		areas[thr-1] += convexFaceArea<PFP>(map, f, position);
+	}
+	,AUTO);
+
+	typename PFP::REAL area(0);
+	for (typename PFP::REAL a : areas)
+		area += a;
+	return area;
+}
+
 template <typename PFP>
 void computeAreaFaces(typename PFP::MAP& map, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position, FaceAttribute<typename PFP::REAL, typename PFP::MAP>& area)
 {
@@ -239,6 +287,14 @@ void computeAreaFaces(typename PFP::MAP& map, const VertexAttribute<typename PFP
 	});
 }
 
+template <typename PFP>
+void computeAreaEdges(typename PFP::MAP& map, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position, EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& area)
+{
+	CGoGN::Parallel::foreach_cell<EDGE>(map, [&] (Edge e, unsigned int /*thr*/)
+	{
+		area[e] = edgeArea<PFP>(map, e, position) ;
+	});
+}
 
 template <typename PFP>
 void computeOneRingAreaVertices(typename PFP::MAP& map, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position, VertexAttribute<typename PFP::REAL, typename PFP::MAP>& area)

CGoGN/include/Algo/Geometry/basic.h

@@ -57,6 +57,58 @@ inline typename PFP::REAL edgeLength(typename PFP::MAP& map, Dart d, const Verte
 	return v.norm() ;
 }
 
+namespace Parallel
+{
+
+template <typename PFP>
+typename PFP::REAL meanEdgeLength(typename PFP::MAP& map, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position)
+{
+	std::vector<typename PFP::REAL> lengths;
+	std::vector<unsigned int> nbedges;
+	lengths.resize(CGoGN::Parallel::NumberOfThreads);
+	nbedges.resize(CGoGN::Parallel::NumberOfThreads);
+
+	CGoGN::Parallel::foreach_cell<EDGE>(map, [&] (Edge e, unsigned int thr)
+	{
+		lengths[thr-1] += edgeLength<PFP>(map, e, position);
+		++nbedges[thr-1];
+	}
+	,AUTO);
+
+	typename PFP::REAL length(0);
+	unsigned int nbe = 0;
+	for (unsigned int i = 0; i < CGoGN::Parallel::NumberOfThreads; ++i)
+	{
+		length += lengths[i];
+		nbe += nbedges[i];
+	}
+
+	return length / nbe;
+}
+
+} // namespace Parallel
+
+template <typename PFP>
+inline typename PFP::REAL meanEdgeLength(typename PFP::MAP& map,const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position)
+{
+	if (CGoGN::Parallel::NumberOfThreads > 1)
+	{
+		return Parallel::meanEdgeLength<PFP>(map, position);
+	}
+
+	typename PFP::REAL length(0);
+	unsigned int nbe = 0;
+
+	foreach_cell<EDGE>(map, [&] (Edge e)
+	{
+		length += edgeLength<PFP>(map, e, position);
+		++nbe;
+	}
+	,AUTO);
+
+	return length / nbe;
+}
+
 template <typename PFP>
 inline float angle(typename PFP::MAP& map, Dart d1, Dart d2, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position)
 {

CGoGN/include/Algo/Geometry/curvature.h

@@ -113,6 +113,7 @@ void computeCurvatureVertices_NormalCycles(
 	const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position,
 	const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& normal,
 	const EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& edgeangle,
+	const EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& edgearea,
 	VertexAttribute<typename PFP::REAL, typename PFP::MAP>& kmax,
 	VertexAttribute<typename PFP::REAL, typename PFP::MAP>& kmin,
 	VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& Kmax,
@@ -127,6 +128,7 @@ void computeCurvatureVertex_NormalCycles(
 	const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position,
 	const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& normal,
 	const EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& edgeangle,
+	const EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& edgearea,
 	VertexAttribute<typename PFP::REAL, typename PFP::MAP>& kmax,
 	VertexAttribute<typename PFP::REAL, typename PFP::MAP>& kmin,
 	VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& Kmax,
@@ -160,6 +162,7 @@ void computeCurvatureVertices_NormalCycles_Projected(
 	const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position,
 	const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& normal,
 	const EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& edgeangle,
+	const EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& edgearea,
 	VertexAttribute<typename PFP::REAL, typename PFP::MAP>& kmax,
 	VertexAttribute<typename PFP::REAL, typename PFP::MAP>& kmin,
 	VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& Kmax,
@@ -174,6 +177,7 @@ void computeCurvatureVertex_NormalCycles_Projected(
 	const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position,
 	const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& normal,
 	const EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& edgeangle,
+	const EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& edgearea,
 	VertexAttribute<typename PFP::REAL, typename PFP::MAP>& kmax,
 	VertexAttribute<typename PFP::REAL, typename PFP::MAP>& kmin,
 	VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& Kmax,
@@ -189,6 +193,7 @@ void computeCurvatureVertices_NormalCycles(
 	const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position,
 	const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& normal,
 	const EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& edgeangle,
+	const EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& edgearea,
 	VertexAttribute<typename PFP::REAL, typename PFP::MAP>& kmax,
 	VertexAttribute<typename PFP::REAL, typename PFP::MAP>& kmin,
 	VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& Kmax,
@@ -202,6 +207,7 @@ void computeCurvatureVertex_NormalCycles(
 	const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position,
 	const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& normal,
 	const EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& edgeangle,
+	const EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& edgearea,
 	VertexAttribute<typename PFP::REAL, typename PFP::MAP>& kmax,
 	VertexAttribute<typename PFP::REAL, typename PFP::MAP>& kmin,
 	VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& Kmax,
@@ -215,6 +221,7 @@ void computeCurvatureVertices_NormalCycles_Projected(
 	const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position,
 	const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& normal,
 	const EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& edgeangle,
+	const EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& edgearea,
 	VertexAttribute<typename PFP::REAL, typename PFP::MAP>& kmax,
 	VertexAttribute<typename PFP::REAL, typename PFP::MAP>& kmin,
 	VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& Kmax,
@@ -228,6 +235,7 @@ void computeCurvatureVertex_NormalCycles_Projected(
 	const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position,
 	const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& normal,
 	const EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& edgeangle,
+	const EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& edgearea,
 	VertexAttribute<typename PFP::REAL, typename PFP::MAP>& kmax,
 	VertexAttribute<typename PFP::REAL, typename PFP::MAP>& kmin,
 	VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& Kmax,
@@ -245,6 +253,7 @@ void computeCurvatureVertices_NormalCycles(
 	const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position,
 	const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& normal,
 	const EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& edgeangle,
+	const EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& edgearea,
 	VertexAttribute<typename PFP::REAL, typename PFP::MAP>& kmax,
 	VertexAttribute<typename PFP::REAL, typename PFP::MAP>& kmin,
 	VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& Kmax,
@@ -258,6 +267,7 @@ void computeCurvatureVertices_NormalCycles_Projected(
 	const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position,
 	const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& normal,
 	const EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& edgeangle,
+	const EdgeAttribute<typename PFP::REAL, typename PFP::MAP>& edgearea,
 	VertexAttribute<typename PFP::REAL, typename PFP::MAP>& kmax,
 	VertexAttribute<typename PFP::REAL, typename PFP::MAP>& kmin,
 	VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& Kmax,

CGoGN/include/Algo/Geometry/intersection.h

@@ -83,7 +83,7 @@ bool areTrianglesInIntersection(typename PFP::MAP& map, Face t1, Face t2, const
  * et v1 et v2 les deux sommets de l'arête
  */
 template <typename PFP>
-bool intersectionSphereEdge(typename PFP::MAP& map, typename PFP::VEC3& center, typename PFP::REAL radius, Edge e, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position, typename PFP::REAL& alpha) ;
+bool intersectionSphereEdge(typename PFP::MAP& map, const typename PFP::VEC3& center, typename PFP::REAL radius, Edge e, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position, typename PFP::REAL& alpha) ;
 
 } // namespace Geometry
 

CGoGN/include/Algo/Geometry/intersection.hpp

@@ -238,7 +238,7 @@ bool areTrianglesInIntersection(typename PFP::MAP& map, Face t1, Face t2, const
 }
 
 template <typename PFP>
-bool intersectionSphereEdge(typename PFP::MAP& map, typename PFP::VEC3& center, typename PFP::REAL radius, Edge e, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position, typename PFP::REAL& alpha)
+bool intersectionSphereEdge(typename PFP::MAP& map, const typename PFP::VEC3& center, typename PFP::REAL radius, Edge e, const VertexAttribute<typename PFP::VEC3, typename PFP::MAP>& position, typename PFP::REAL& alpha)
 {
 	typedef typename PFP::VEC3 VEC3 ;
 	typedef typename PFP::REAL REAL ;

CGoGN/include/Algo/Selection/collector.h

@@ -122,16 +122,12 @@ public:
 	template <typename PPFP>
 	friend std::ostream& operator<<(std::ostream &out, const Collector<PPFP>& c);
 
-	virtual REAL computeArea (const VertexAttribute<VEC3, MAP>& /*pos*/)
+	virtual REAL computeArea (const VertexAttribute<VEC3, MAP>& /*pos*/, const EdgeAttribute<REAL, MAP>& /*edgearea*/)
 	{
 		assert(!"Warning: Collector<PFP>::computeArea() should be overloaded in non-virtual derived classes");
 		return 0.0;
 	}
-	virtual void computeNormalCyclesTensor (const VertexAttribute<VEC3, MAP>& /*pos*/, const EdgeAttribute<REAL, MAP>& /*edgeangle*/, typename PFP::MATRIX33&)
-	{
-		assert(!"Warning: Collector<PFP>::computeNormalCyclesTensor() should be overloaded in non-virtual derived classes");
-	}
-	virtual void computeNormalCyclesTensor (const VertexAttribute<VEC3, MAP>& /*pos*/, typename PFP::MATRIX33&)
+	virtual void computeNormalCyclesTensor (const VertexAttribute<VEC3, MAP>& /*pos*/, const EdgeAttribute<REAL, MAP>& /*edgeangle*/, const EdgeAttribute<REAL, MAP>& /*edgearea*/, typename PFP::MATRIX33&)
 	{
 		assert(!"Warning: Collector<PFP>::computeNormalCyclesTensor() should be overloaded in non-virtual derived classes");
 	}
@@ -162,9 +158,8 @@ public:
 	void collectAll(Dart d);
 	void collectBorder(Dart d);
 
-	REAL computeArea(const VertexAttribute<VEC3, MAP>& pos);
-	void computeNormalCyclesTensor (const VertexAttribute<VEC3, MAP>& pos, const EdgeAttribute<REAL, MAP>& edgeangle, typename PFP::MATRIX33&);
-	void computeNormalCyclesTensor (const VertexAttribute<VEC3, MAP>& pos, typename PFP::MATRIX33&);
+	REAL computeArea(const VertexAttribute<VEC3, MAP>& pos, const EdgeAttribute<REAL, MAP>& edgearea);
+	void computeNormalCyclesTensor (const VertexAttribute<VEC3, MAP>& pos, const EdgeAttribute<REAL, MAP>& edgeangle, const EdgeAttribute<REAL, MAP>& edgearea, typename PFP::MATRIX33&);
 };
 
 /*********************************************************
@@ -194,10 +189,8 @@ public:
 	void collectAll(Dart d);
 	void collectBorder(Dart d);
 
-	REAL computeArea(const VertexAttribute<VEC3, MAP>& pos);
-	void computeNormalCyclesTensor (const VertexAttribute<VEC3, MAP>& pos, const EdgeAttribute<REAL, MAP>& edgeangle, typename PFP::MATRIX33&);
-	void computeNormalCyclesTensor (const VertexAttribute<VEC3, MAP>& pos, typename PFP::MATRIX33&);
-
+	REAL computeArea(const VertexAttribute<VEC3, MAP>& pos, const EdgeAttribute<REAL, MAP>& edgearea);
+	void computeNormalCyclesTensor (const VertexAttribute<VEC3, MAP>& pos, const EdgeAttribute<REAL, MAP>& edgeangle, const EdgeAttribute<REAL, MAP>& edgearea, typename PFP::MATRIX33&);
 };
 
 /*********************************************************
@@ -234,9 +227,8 @@ public:
 	void collectAll(Dart d);
 	void collectBorder(Dart d);
 
-	REAL computeArea(const VertexAttribute<VEC3, MAP>& pos);
-	void computeNormalCyclesTensor (const VertexAttribute<VEC3, MAP>& pos, const EdgeAttribute<REAL, MAP>& edgeangle, typename PFP::MATRIX33&);
-	void computeNormalCyclesTensor (const VertexAttribute<VEC3, MAP>& pos, typename PFP::MATRIX33&);
+	REAL computeArea(const VertexAttribute<VEC3, MAP>& pos, const EdgeAttribute<REAL, MAP>& edgearea);
+	void computeNormalCyclesTensor (const VertexAttribute<VEC3, MAP>& pos, const EdgeAttribute<REAL, MAP>& edgeangle, const EdgeAttribute<REAL, MAP>& edgearea, typename PFP::MATRIX33&);
 };
 
 /*********************************************************

CGoGN/include/Algo/Tiling/Surface/hexagonal.hpp

@@ -44,10 +44,12 @@ template <typename PFP>
 void Grid<PFP>::grid(unsigned int x, unsigned int y, bool close)
 {
     // nb vertices
-    int nb = x*y +1;
+	unsigned int nbV = x*y +1;
+	unsigned int nbF = x*y;
 
     // vertice reservation
-    this->m_tableVertDarts.reserve(nb);
+	this->m_tableVertDarts.reserve(nbV);
+	this->m_tableFaceDarts.reserve(nbF);
 
     // creation of triangles and storing vertices
     for (unsigned int i = 0; i < y; ++i)
@@ -61,6 +63,7 @@ void Grid<PFP>::grid(unsigned int x, unsigned int y, bool close)
                 this->m_tableVertDarts.push_back(this->m_map.phi_1(d));
             if (j == x)
                 this->m_tableVertDarts.push_back(this->m_map.phi1(this->m_map.phi1(d)));
+			this->m_tableFaceDarts.push_back(d);
         }
     }
 

CGoGN/include/Algo/Tiling/Surface/square.hpp

@@ -46,10 +46,12 @@ template <typename PFP>
 void Grid<PFP>::grid(unsigned int x, unsigned int y, bool close)
 {
     // nb vertices
-    int nb = (x+1)*(y+1);
+	unsigned int nbV = (x+1)*(y+1);
+	unsigned int nbF = x*y;
 
     // vertice reservation
-    this->m_tableVertDarts.reserve(nb);
+	this->m_tableVertDarts.reserve(nbV);
+	this->m_tableFaceDarts.reserve(nbF);
 
     // creation of quads and storing vertices
     for (unsigned int i = 0; i < y; ++i)
@@ -60,6 +62,7 @@ void Grid<PFP>::grid(unsigned int x, unsigned int y, bool close)
             this->m_tableVertDarts.push_back(d);
             if (j == x)
                 this->m_tableVertDarts.push_back(this->m_map.phi1(d));
+			this->m_tableFaceDarts.push_back(d);
         }
     }
 
@@ -174,10 +177,12 @@ void Grid<PFP>::embedIntoHelicoid(VertexAttribute<VEC3, MAP>& position, float ra
 template <typename PFP>
 void Cylinder<PFP>::cylinder(unsigned int n, unsigned int z)
 {
-    int nb = (n)*(z+1)+2;
+	unsigned int nbV = (n)*(z+1)+2;
+	unsigned int nbF = n*z;
 
     // vertice reservation
-    this->m_tableVertDarts.reserve(nb);
+	this->m_tableVertDarts.reserve(nbV);
+	this->m_tableFaceDarts.reserve(nbF);
 
     // creation of quads and storing vertices
     for (unsigned int i = 0; i < z; ++i)
@@ -186,6 +191,7 @@ void Cylinder<PFP>::cylinder(unsigned int n, unsigned int z)
         {
             Dart d = this->m_map.newFace(4, false);
             this->m_tableVertDarts.push_back(d);
+			this->m_tableFaceDarts.push_back(d);
         }
     }
 
@@ -405,13 +411,16 @@ void Cube<PFP>::cube(unsigned int x, unsigned int y, unsigned int z)
     this->m_ny = y;
     this->m_nz = z;
 
-    int nb = 2*(x+y)*(z+1) + 2*(x-1)*(y-1);
-    this->m_tableVertDarts.reserve(nb);
+	unsigned int nbV = 2*(x+y)*(z+1) + 2*(x-1)*(y-1);
+	unsigned int nbF = 2*(x+y)*z + 2*x*y;
+
+	this->m_tableVertDarts.reserve(nbV);
+	this->m_tableFaceDarts.reserve(nbF);
 
     // we now have the 4 sides, just need to create store and sew top & bottom
     // the top
-    Grid<PFP> gtop(this->m_map,x,y,false);
-    std::vector<Dart>& tableTop = gtop.getVertexDarts();
+	Grid<PFP> gTop(this->m_map,x,y,false);
+	std::vector<Dart>& tableTop = gTop.getVertexDarts();
 
     int index_side = 2*(x+y)*z;
     for(unsigned int i = 0; i < x; ++i)
@@ -488,6 +497,17 @@ void Cube<PFP>::cube(unsigned int x, unsigned int y, unsigned int z)
             this->m_tableVertDarts.push_back(tableBottom[i*(x+1)+j]);
     }
 
+	const std::vector<Dart>& tableTopFaces = gTop.getFaceDarts();
+	for (Dart f : tableTopFaces)
+	{
+		this->m_tableFaceDarts.push_back(f);
+	}
+
+	const std::vector<Dart>& tableBottomFaces = gBottom.getFaceDarts();
+	for (Dart f : tableBottomFaces)
+	{
+		this->m_tableFaceDarts.push_back(f);
+	}
 }
 
 template <typename PFP>

CGoGN/include/Algo/Tiling/Surface/triangular.hpp

@@ -44,10 +44,12 @@ template <typename PFP>
 void Grid<PFP>::grid(unsigned int x, unsigned int y, bool close)
 {
     // nb vertices
-	int nb = (x+1)*(y+1);
+	unsigned int nbV = (x+1)*(y+1);
+	unsigned int nbF = 2*x*y;
 
 	// vertices reservation
-    this->m_tableVertDarts.reserve(nb);
+	this->m_tableVertDarts.reserve(nbV);
+	this->m_tableFaceDarts.reserve(nbF);
 
     // creation of triangles and storing vertices
     for (unsigned int i = 0; i < y; ++i)
@@ -59,6 +61,9 @@ void Grid<PFP>::grid(unsigned int x, unsigned int y, bool close)
 			this->m_map.sewFaces(this->m_map.phi1(d), this->m_map.phi_1(d2), false);
 			this->m_tableVertDarts.push_back(d);
 
+			this->m_tableFaceDarts.push_back(d);
+			this->m_tableFaceDarts.push_back(d2);
+
             if (j == x)
 				this->m_tableVertDarts.push_back(d2);
         }
@@ -179,10 +184,12 @@ template <typename PFP>
 void Cylinder<PFP>::cylinder(unsigned int n, unsigned int z)
 {
 	// nb vertices
-	int nb = (n)*(z+1)+2;
+	unsigned int nbV = (n)*(z+1)+2;
+	unsigned int nbF = 2*n*z;
 
 	// vertices reservation
-	this->m_tableVertDarts.reserve(nb);
+	this->m_tableVertDarts.reserve(nbV);
+	this->m_tableFaceDarts.reserve(nbF);
 
 	// creation of triangles and storing vertices
 	for (unsigned int i = 0; i < z; ++i)
@@ -193,6 +200,8 @@ void Cylinder<PFP>::cylinder(unsigned int n, unsigned int z)
 			Dart d2 = this->m_map.newFace(3, false);
 			this->m_map.sewFaces(this->m_map.phi1(d), this->m_map.phi_1(d2), false);
 			this->m_tableVertDarts.push_back(d);
+			this->m_tableFaceDarts.push_back(d);
+			this->m_tableFaceDarts.push_back(d2);
 		}
 	}
 
@@ -413,8 +422,11 @@ void Cube<PFP>::cube(unsigned int x, unsigned int y, unsigned int z)
     this->m_ny = y;
     this->m_nz = z;
 
-    int nb = 2*(x+y)*(z+1) + 2*(x-1)*(y-1);
-    this->m_tableVertDarts.reserve(nb);
+	unsigned int nbV = 2*(x+y)*(z+1) + 2*(x-1)*(y-1);
+	unsigned int nbF = 2* (2*(x+y)*z + 2*x*y);
+
+	this->m_tableVertDarts.reserve(nbV);
+	this->m_tableFaceDarts.reserve(nbF);
 
     // we now have the 4 sides, just need to create store and sew top & bottom
     // the top
@@ -500,6 +512,17 @@ void Cube<PFP>::cube(unsigned int x, unsigned int y, unsigned int z)
             this->m_tableVertDarts.push_back(tableBottom[i*(x+1)+j]);
     }
 
+	const std::vector<Dart>& tableTopFaces = gTop.getFaceDarts();
+	for (Dart f : tableTopFaces)
+	{
+		this-m_tableFaceDarts.push_back(f);
+	}
+
+	const std::vector<Dart>& tableBottomFaces = gBottom.getFaceDarts();
+	for (Dart f : tableBottomFaces)
+	{
+		this-m_tableFaceDarts.push_back(f);
+	}
 }
 
 template <typename PFP>

CGoGN/include/Algo/Tiling/tiling.h

@@ -69,6 +69,12 @@ protected:
     */
     std::vector<Dart> m_tableVertDarts;
 
+	/**
+	* Table of vertex darts (one dart per vertex)
+	* Order depend on tiling kind
+	*/
+	std::vector<Dart> m_tableFaceDarts;
+
 public:
     Tiling(MAP& map, unsigned int x, unsigned int y, unsigned int z):
         m_map(map),
@@ -83,10 +89,15 @@ public:
     Tiling(const Tiling<PFP>& t1, const Tiling<PFP> t2);
 
     /**
-    * get the table of darts (one per vertex)
+	* get the table of vertex darts (one per vertex)
     */
     std::vector<Dart>& getVertexDarts() { return m_tableVertDarts; }
 
+	/**
+	* get the table of face darts (one per face)
+	*/
+	std::vector<Dart>& getFaceDarts() { return m_tableFaceDarts; }
+
 	void computeCenter(VertexAttribute<VEC3, MAP>& position);
 
     //void Polyhedron<PFP>::transform(float* matrice)

SCHNApps/Plugins/surface_differentialProperties/src/surface_differentialProperties.cpp

@@ -272,9 +272,19 @@ void Surface_DifferentialProperties_Plugin::computeCurvature(
 	if(!edgeAngle.isValid())
 		edgeAngle = mh->addAttribute<PFP2::REAL, EDGE>("edgeAngle");
 
+	EdgeAttribute<PFP2::REAL, PFP2::MAP> edgeArea = mh->getAttribute<PFP2::REAL, EDGE>("edgeArea");
+	if(!edgeArea.isValid())
+		edgeArea = mh->addAttribute<PFP2::REAL, EDGE>("edgeArea");
+
 	PFP2::MAP* map = mh->getMap();
+
 	Algo::Surface::Geometry::computeAnglesBetweenNormalsOnEdges<PFP2>(*map, position, edgeAngle);
-	Algo::Surface::Geometry::computeCurvatureVertices_NormalCycles_Projected<PFP2>(*map, 0.01f * mh->getBBdiagSize(), position, normal, edgeAngle, kmax, kmin, Kmax, Kmin, Knormal);
+	Algo::Surface::Geometry::computeAreaEdges<PFP2>(*map, position, edgeArea);