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added initial Nrosy interpolation functions

This commit is contained in:
Nico Pietroni 2014-02-16 16:36:22 +00:00
parent 22a3e51d1a
commit 30fb536c78
1 changed files with 162 additions and 44 deletions
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206
vcg/complex/algorithms/parametrization/tangent_field_operators.h
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@ -33,6 +33,100 @@
namespace vcg {
namespace tri{
template < typename ScalarType >
vcg::Point2<ScalarType> InterpolateNRosy2D(const std::vector<vcg::Point2<ScalarType> > &V,
const std::vector<ScalarType> &W,
const int N)
{
// check parameter
assert(V.size() == W.size() && N > 0);
// create a vector of angles
std::vector<ScalarType> angles(V.size(), 0);
// make angle mod 2pi/N by multiplying times N
for (size_t i = 0; i < V.size(); i++)
angles[i] = std::atan2(V[i].Y(), V[i].X() ) * N;
// create vector of directions
std::vector<vcg::Point2<ScalarType> > VV(V.size(), vcg::Point2<ScalarType>(0,0));
// compute directions
for (size_t i = 0; i < V.size(); i++) {
VV[i].X() = std::cos(angles[i]);
VV[i].Y() = std::sin(angles[i]);
}
// average vector
vcg::Point2<ScalarType> Res(0,0);
// compute average of the unit vectors
ScalarType Sum=0;
for (size_t i = 0; i < VV.size(); i++)
{
Res += VV[i] * W[i];
Sum+=W[i];
}
Res /=Sum;
//R /= VV.rows();
// scale them back
ScalarType a = std::atan2(Res.Y(), Res.X()) / N;
Res.X() = std::cos(a);
Res.Y() = std::sin(a);
return Res;
}
template < typename ScalarType >
vcg::Point3<ScalarType> InterpolateNRosy3D(const std::vector<vcg::Point3<ScalarType> > &V,
const std::vector<vcg::Point3<ScalarType> > &Norm,
const std::vector<ScalarType> &W,
const int N,
const vcg::Point3<ScalarType> &TargetN)
{
typedef typename vcg::Point3<ScalarType> CoordType;
///create a reference frame along TargetN
CoordType TargetZ=TargetN;
TargetZ.Normalize();
CoordType U=CoordType(1,0,0);
if (fabs((TargetZ*U)-1.f)<0.001)
U=CoordType(0,1,0);
CoordType TargetX=TargetZ^U;
CoordType TargetY=TargetX^TargetZ;
TargetX.Normalize();
TargetY.Normalize();
vcg::Matrix33<ScalarType> RotFrame=vcg::TransformationMatrix(TargetX,TargetY,TargetZ);
vcg::Matrix33<ScalarType> RotFrameInv=vcg::Inverse(RotFrame);
std::vector<vcg::Point2<ScalarType> > Cross2D;
///rotate each vector to transform to 2D
for (size_t i=0;i<V.size();i++)
{
CoordType NF=Norm[i];
NF.Normalize();
CoordType Vect=V[i];
Vect.Normalize();
//ScalarType Dot=fabs(Vect*NF);
///rotate the vector to become tangent to the reference plane
vcg::Matrix33<ScalarType> RotNorm=vcg::RotationMatrix(Norm[i],TargetN);
CoordType rotV=RotNorm*V[i];
//assert(fabs(rotV*TargetN)<0.000001);
rotV.Normalize();
///trassform to the reference frame
rotV=RotFrame*rotV;
//it's 2D from now on
Cross2D.push_back(vcg::Point2<ScalarType>(rotV.X(),rotV.Y()));
}
vcg::Point2<ScalarType> AvDir2D=InterpolateNRosy2D(Cross2D,W,N);
CoordType AvDir3D=CoordType(AvDir2D.X(),AvDir2D.Y(),0);
//transform back to 3D
AvDir3D=RotFrameInv*AvDir3D;
return AvDir3D;
}
template <class MeshType>
class CrossField
{
@ -414,47 +508,62 @@ namespace vcg {
const CoordType &target_n,
const CoordType &bary)
{
vcg::Matrix33<ScalarType> R0=vcg::RotationMatrix(n0,target_n);
vcg::Matrix33<ScalarType> R1=vcg::RotationMatrix(n1,target_n);
vcg::Matrix33<ScalarType> R2=vcg::RotationMatrix(n2,target_n);
///rotate
CoordType trans0=R0*t0;
CoordType trans1=R1*t1;
CoordType trans2=R2*t2;
///normalize it
trans0.Normalize();
trans1.Normalize();
trans2.Normalize();
///k_PI/2 rotation
trans1=K_PI(trans1,trans0,target_n);
trans2=K_PI(trans2,trans0,target_n);
trans1.Normalize();
trans2.Normalize();
std::vector<CoordType > V,Norm;
std::vector<ScalarType > W;
V.push_back(t0);
V.push_back(t1);
V.push_back(t2);
Norm.push_back(n0);
Norm.push_back(n1);
Norm.push_back(n2);
W.push_back(bary.X());
W.push_back(bary.Y());
W.push_back(bary.Z());
CoordType sum=InterpolateNRosy3D(V,Norm,&W,4,target_n);
return sum;
// vcg::Matrix33<ScalarType> R0=vcg::RotationMatrix(n0,target_n);
// vcg::Matrix33<ScalarType> R1=vcg::RotationMatrix(n1,target_n);
// vcg::Matrix33<ScalarType> R2=vcg::RotationMatrix(n2,target_n);
// ///rotate
// CoordType trans0=R0*t0;
// CoordType trans1=R1*t1;
// CoordType trans2=R2*t2;
// ///normalize it
// trans0.Normalize();
// trans1.Normalize();
// trans2.Normalize();
// ///k_PI/2 rotation
// trans1=K_PI(trans1,trans0,target_n);
// trans2=K_PI(trans2,trans0,target_n);
// trans1.Normalize();
// trans2.Normalize();
CoordType sum = trans0*bary.X() + trans1 * bary.Y() + trans2 * bary.Z();
return sum;
// CoordType sum = trans0*bary.X() + trans1 * bary.Y() + trans2 * bary.Z();
// return sum;
}
///interpolate cross field with barycentric coordinates using normalized weights
static CoordType InterpolateCrossField(const std::vector<CoordType> &TangVect,
const std::vector<ScalarType> &Weight,
const std::vector<CoordType> &Norms,
const CoordType &BaseNorm,
const CoordType &BaseDir)
const CoordType &BaseNorm)
{
CoordType sum = CoordType(0,0,0);
for (unsigned int i=0;i<TangVect.size();i++)
{
CoordType N1=Norms[i];
///find the rotation matrix that maps between normals
vcg::Matrix33<ScalarType> rotation=vcg::RotationMatrix(N1,BaseNorm);
CoordType rotated=rotation*TangVect[i];
CoordType Tdir=K_PI(rotated,BaseDir,BaseNorm);
Tdir.Normalize();
sum+=(Tdir*Weight[i]);
}
sum.Normalize();
CoordType sum=InterpolateNRosy3D(TangVect,Norms,Weight,4,BaseNorm);
return sum;
// CoordType sum = CoordType(0,0,0);
// for (unsigned int i=0;i<TangVect.size();i++)
// {
// CoordType N1=Norms[i];
// ///find the rotation matrix that maps between normals
// vcg::Matrix33<ScalarType> rotation=vcg::RotationMatrix(N1,BaseNorm);
// CoordType rotated=rotation*TangVect[i];
// CoordType Tdir=K_PI(rotated,BaseDir,BaseNorm);
// Tdir.Normalize();
// sum+=(Tdir*Weight[i]);
// }
// sum.Normalize();
// return sum;
}
///interpolate cross field with scalar weight
@ -465,18 +574,27 @@ namespace vcg {
const typename FaceType::CoordType &target_n,
const typename FaceType::ScalarType &weight)
{
vcg::Matrix33<ScalarType> R0=vcg::RotationMatrix(n0,target_n);
vcg::Matrix33<ScalarType> R1=vcg::RotationMatrix(n1,target_n);
CoordType trans0=R0*t0;
CoordType trans1=R1*t1;
//CoordType trans0=t0;//R0*t0;
//CoordType trans1=t1;//R1*t1;
trans0.Normalize();
trans1.Normalize();
trans1=K_PI(trans1,trans0,target_n);
trans1.Normalize();
CoordType sum = trans0*weight + trans1 * (1.0-weight);
return sum;
std::vector<CoordType > V,Norm;
std::vector<ScalarType > W;
V.push_back(t0);
V.push_back(t1);
Norm.push_back(n0);
Norm.push_back(n1);
W.push_back(weight);
W.push_back(1-weight);
InterpolateNRosy3D(V,Norm,&W,4,target_n);
// vcg::Matrix33<ScalarType> R0=vcg::RotationMatrix(n0,target_n);
// vcg::Matrix33<ScalarType> R1=vcg::RotationMatrix(n1,target_n);
// CoordType trans0=R0*t0;
// CoordType trans1=R1*t1;
// //CoordType trans0=t0;//R0*t0;
// //CoordType trans1=t1;//R1*t1;
// trans0.Normalize();
// trans1.Normalize();
// trans1=K_PI(trans1,trans0,target_n);
// trans1.Normalize();
// CoordType sum = trans0*weight + trans1 * (1.0-weight);
// return sum;
}