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Added SuperEllipsoid and SuperToroid functions 

Thanks to Antonio Nicoletti
This commit is contained in:
Paolo Cignoni 2016-02-11 15:47:06 +00:00
parent 8ee0aafb6e
commit 13951475e9
1 changed files with 81 additions and 0 deletions
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81
vcg/complex/algorithms/create/platonic.h
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@ -600,7 +600,88 @@ void Torus(MeshType &m, float hRingRadius, float vRingRadius, int hRingDiv=24, i
} }
/**
* SuperToroid
*
* Generate a a supertoroid, e.g. a member of a family of doughnut-like surfaces
* (technically, a topological torus) whose shape is defined by mathematical formulas
* similar to those that define the superquadrics.
*/
template <class MeshType>
void SuperToroid(MeshType &m, float hRingRadius, float vRingRadius, float s, float t, int hRingDiv=24, int vRingDiv=12 )
{
typedef typename MeshType::CoordType CoordType;
typedef typename MeshType::ScalarType ScalarType;
m.Clear();
ScalarType angleStepV = (2.0f*M_PI)/vRingDiv;
ScalarType angleStepH = (2.0f*M_PI)/hRingDiv;
auto fnC=[](float a, float b){
return math::Sgn(cos(a))*pow(abs(cos(a)),b);
};
auto fnS=[](float a, float b){
return math::Sgn(sin(a))*pow(abs(sin(a)),b);
};
float u;
float v;
Allocator<MeshType>::AddVertices(m,(vRingDiv+1)*(hRingDiv+1));
for(int i=0;i<hRingDiv+1;++i)
{
u=float(i%hRingDiv)*angleStepH;
for(int j=0;j<vRingDiv+1;++j)
{
CoordType p;
v=float(j%vRingDiv)*angleStepV;
p[0]= (hRingRadius+fnC(u,s))*fnC(v,t);
p[1]= (vRingRadius+fnC(u,s))*fnS(v,t);
p[2] = fnS(u,s);
m.vert[i*(vRingDiv+1)+j].P() = p;
}
}
FaceGrid(m,vRingDiv+1,hRingDiv+1);
tri::Clean<MeshType>::RemoveDuplicateVertex(m);
tri::Allocator<MeshType>::CompactEveryVector(m);
}
/**
* Generate a SuperEllipsoid eg a solid whose horizontal sections are super-ellipses (Lamé curves)
* with the same exponent r, and whose vertical sections through the center are super-ellipses with
* the same exponent t.
*/
template <class MeshType>
void SuperEllipsoid(MeshType &m, float r, float s, float t, int hRingDiv=24, int vRingDiv=12 )
{
typedef typename MeshType::CoordType CoordType;
typedef typename MeshType::ScalarType ScalarType;
m.Clear();
ScalarType angleStepV = (2.0f*M_PI)/vRingDiv;
ScalarType angleStepH = (2.0f*M_PI)/hRingDiv;
auto fnC=[](float a, float b){
return math::Sgn(cos(a))*pow(abs(cos(a)),b);
};
auto fnS=[](float a, float b){
return math::Sgn(sin(a))*pow(abs(sin(a)),b);
};
float u;
float v;
Allocator<MeshType>::AddVertices(m,(vRingDiv+1)*(hRingDiv+1));
for(int i=0;i<hRingDiv+1;++i)
{
u=float(i%hRingDiv)*angleStepH;
for(int j=0;j<vRingDiv+1;++j)
{
CoordType p;
v=float(j%vRingDiv)*angleStepV;
p[0]= fnC(v,2/r)*fnC(u,2/r);
p[1]= fnC(v,2/s)*fnS(u,2/s);
p[2] = fnS(v,2/t);
m.vert[i*(vRingDiv+1)+j].P() = p;
}
}
FaceGrid(m,vRingDiv+1,hRingDiv+1);
tri::Clean<MeshType>::RemoveDuplicateVertex(m);
tri::Allocator<MeshType>::CompactEveryVector(m);
}
// this function build a mesh starting from a vector of generic coords (objects having a triple of float at their beginning) // this function build a mesh starting from a vector of generic coords (objects having a triple of float at their beginning)
// and a vector of faces (objects having a triple of ints at theri beginning). // and a vector of faces (objects having a triple of ints at theri beginning).
template <class MeshType,class V, class F > template <class MeshType,class V, class F >