several major modifications

vcg/complex/algorithms/parametrization/tangent_field_operators.h

@@ -44,6 +44,17 @@ namespace vcg {
 
 		public:
 
+			static CoordType FollowDirection(const FaceType &f0,
+				const typename FaceType &f1,
+				const typename CoordType &dir0)
+			{
+				///first it rotate dir to match with f1
+				CoordType dirR=vcg::tri::CrossField<MeshType>::Rotate(f0,f1,dir0);
+				///then get the closest upf to K*PI/2 rotations
+				CoordType dir1=f1.cPD1();
+				CoordType ret=vcg::tri::CrossField<MeshType>::K_PI(dir1,dirR,f1.cN());
+				return ret;
+			}
 
 			static void SetVertCrossFromCurvature(MeshType &mesh)
 			{
@@ -110,7 +121,7 @@ namespace vcg {
 
 			///transform a given angle in tangent space wrt X axis of
 			///tangest space will return the corresponding 3D vector
-			static CoordType TangetAngleToVect(const FaceType &f,const ScalarType &angle)
+			static CoordType TangentAngleToVect(const FaceType &f,const ScalarType &angle)
 			{
 				///find 2D vector
 				vcg::Point2<ScalarType> axis2D=vcg::Point2<ScalarType>(cos(angle),sin(angle));
@@ -194,6 +205,19 @@ namespace vcg {
 				axis[3]=-dir1;
 			}
 
+			///return the 4 direction in 3D of 
+			///the cross field of a given face
+			static void CrossVector(const VertexType &v,
+				CoordType axis[4])
+			{
+				CoordType dir0=v.cPD1();
+				CoordType dir1=v.cPD2();
+				axis[0]=dir0;
+				axis[1]=dir1;
+				axis[2]=-dir0;
+				axis[3]=-dir1;
+			}
+
 			///return a specific direction given an integer 0..3
 			///considering the reference direction of the cross field
 			static CoordType CrossVector(const FaceType &f,
@@ -205,6 +229,17 @@ namespace vcg {
 				return axis[index];
 			}
 
+			///return a specific direction given an integer 0..3
+			///considering the reference direction of the cross field
+			static CoordType CrossVector(const VertexType &v,
+				const int &index)
+			{
+				assert((index>=0)&&(index<4));
+				CoordType axis[4];
+				CrossVector(f,axis);
+				return axis[index];
+			}
+
 			///set the cross field of a given face
 			static void SetCrossVector(FaceType &f,
 				CoordType dir0,
@@ -243,6 +278,43 @@ namespace vcg {
 				}
 			}
 
+			///set the face cross vector from vertex one
+			static void SetVertCrossVectorFromFace(VertexType &v)
+			{
+				std::vector<FaceType *> faceVec;
+				vcg::face::VFStarVF(&v,faceVec);
+				std::vector<CoordType> TangVect;
+				std::vector<CoordType> Norms;
+				for (int i=0;i<faceVec.size();i++)
+				{
+					TangVect.push_back(faceVec[i]->PD1());
+					Norms.push_back(faceVec[i]->N());
+				}
+				std::vector<ScalarType> Weights(TangVect.size(),1.0/(ScalarType)TangVect.size());
+				CoordType NRef=v.N();
+				CoordType N0=faceVec[0]->N();
+				CoordType DirRef=faceVec[0]->PD1();
+				///find the rotation matrix that maps between normals
+				vcg::Matrix33<ScalarType> rotation=vcg::RotationMatrix(N0,NRef);
+				DirRef=rotation*DirRef;
+
+				CoordType tF1=InterpolateCrossField(TangVect,Weights,Norms,NRef,DirRef);
+				tF1.Normalize();
+				CoordType tF2=NRef^tF1;
+				tF2.Normalize();
+				v.PD1()=tF1;
+				v.PD2()=tF2;
+			}
+
+			static void SetVertCrossVectorFromFace(MeshType &mesh)
+			{
+				for (int i=0;i<mesh.vert.size();i++)
+				{
+					VertexType *v=&mesh.vert[i];
+					if (v->IsD())continue;
+					SetVertCrossVectorFromFace(*v);
+				}
+			}
 
 			///rotate a given vector from the tangent space
 			///of f0 to the tangent space of f1 by considering the difference of normals
@@ -420,7 +492,7 @@ namespace vcg {
 
 			///return true if a given vertex is singular,
 			///return also the missmatch
-			static bool IsSingular(VertexType &v,int &missmatch)
+			static bool IsSingular(const VertexType &v,int &missmatch)
 			{
 				typedef typename VertexType::FaceType FaceType;
 				///check that is on border..
@@ -500,7 +572,7 @@ namespace vcg {
 					// skip strange string line
 					while (fscanf(f,"%c",&c)!=EOF) if (c=='\n') break;
 					for (int i=0; i<nnv; i++){
-						vcg::Point3d u,v;
+						vcg::Point3<ScalarType> u,v;
 						int a,b;
 						if (fscanf(f,
 							"%d %d %lf %lf %lf %lf %lf %lf",