public Mesh Catmull_Clark(Mesh x)
{
Mesh mesh = new Mesh();
List <Point3d> pv = new List <Point3d>();
List <Point3d> pe = new List <Point3d>();
List <Point3d> pf = new List <Point3d>();
Rhino.Geometry.Collections.MeshTopologyVertexList vs = x.TopologyVertices;
Rhino.Geometry.Collections.MeshTopologyEdgeList el = x.TopologyEdges;
for (int i = 0; i < x.Faces.Count; i++)
{
int[] index = vs.IndicesFromFace(i);
Point3d pf1 = new Point3d();
for (int j = 0; j < index.Length; j++)
{
pf1 += vs[index[j]];
}
pf1 /= index.Length;
pf.Add(pf1);
}
for (int i = 0; i < el.Count; i++)
{
IndexPair pair = el.GetTopologyVertices(i);
Point3d pe1 = vs[pair.I] + vs[pair.J];
int[] index = el.GetConnectedFaces(i);
if (index.Length == 2)
{
pe1 += pf[index[0]] + pf[index[1]];
pe1 /= 4.0;
}
else
{
pe1 = pe1 / 2.0;
}
pe.Add(pe1);
}
for (int i = 0; i < vs.Count; i++)
{
int[] index = vs.ConnectedEdges(i);
int[] index2 = vs.ConnectedFaces(i);
Point3d V = vs[i];
if (index.Length == index2.Length)
{
Point3d R = new Point3d(), Q = new Point3d();
for (int j = 0; j < index.Length; j++)
{
IndexPair pair = el.GetTopologyVertices(index[j]);
Point3d pe1 = (vs[pair.I] + vs[pair.J]) * 0.5f;
R += pe1;
}
R /= index.Length;
for (int j = 0; j < index2.Length; j++)
{
Q += pf[index2[j]];
}
Q /= index2.Length;
int n = vs.ConnectedTopologyVertices(i).Length;
V = Q + (R * 2) + V * (n - 3);
V /= n;
}
else
{
Point3d R = new Point3d();
for (int j = 0; j < index.Length; j++)
{
if (el.GetConnectedFaces(index[j]).Length == 1)
{
IndexPair pair = el.GetTopologyVertices(index[j]);
R += vs[pair.I] + vs[pair.J];
}
}
V = R * 0.125f + V * 0.5;
}
pv.Add(V);
}
mesh.Vertices.AddVertices(pv);
mesh.Vertices.AddVertices(pe);
mesh.Vertices.AddVertices(pf);
for (int i = 0; i < x.Faces.Count; i++)
{
int[] index = vs.IndicesFromFace(i);
if (x.Faces[i].IsQuad)
{
int pc = pv.Count + pe.Count + i;
int p1 = index[0]; int p2 = index[1]; int p3 = index[2]; int p4 = index[3];
int p12 = el.GetEdgeIndex(p1, p2) + pv.Count;
int p23 = el.GetEdgeIndex(p2, p3) + pv.Count;
int p34 = el.GetEdgeIndex(p3, p4) + pv.Count;
int p41 = el.GetEdgeIndex(p4, p1) + pv.Count;
mesh.Faces.AddFace(p1, p12, pc, p41);
mesh.Faces.AddFace(p12, p2, p23, pc);
mesh.Faces.AddFace(pc, p23, p3, p34);
mesh.Faces.AddFace(p41, pc, p34, p4);
}
else if (x.Faces[i].IsTriangle)
{
int pc = pv.Count + pe.Count + i;
int p1 = index[0]; int p2 = index[1]; int p3 = index[2];
int p12 = el.GetEdgeIndex(p1, p2) + pv.Count;
int p23 = el.GetEdgeIndex(p2, p3) + pv.Count;
int p31 = el.GetEdgeIndex(p3, p1) + pv.Count;
mesh.Faces.AddFace(p1, p12, pc, p31);
mesh.Faces.AddFace(p12, p2, p23, pc);
mesh.Faces.AddFace(pc, p23, p3, p31);
}
}
mesh.UnifyNormals();
return(mesh);
}
public Mesh Loop(Mesh x)
{
Mesh mesh = new Mesh();
x.Faces.ConvertQuadsToTriangles();
List <Point3d> pv = new List <Point3d>();
List <Point3d> pe = new List <Point3d>();
Rhino.Geometry.Collections.MeshTopologyVertexList vs = x.TopologyVertices;
Rhino.Geometry.Collections.MeshTopologyEdgeList el = x.TopologyEdges;
for (int i = 0; i < el.Count; i++)
{
IndexPair pair = el.GetTopologyVertices(i);
Point3d pe1 = (vs[pair.I] + vs[pair.J]);
int[] index = el.GetConnectedFaces(i);
if (index.Length == 2)
{
int[] index1 = vs.IndicesFromFace(index[0]);
int[] index2 = vs.IndicesFromFace(index[1]);
pe1 += vs[index1[0]] + vs[index1[1]] + vs[index1[2]];
pe1 += vs[index2[0]] + vs[index2[1]] + vs[index2[2]];
pe1 /= 8.0;
}
else
{
pe1 = pe1 / 2.0;
}
pe.Add(pe1);
}
for (int i = 0; i < vs.Count; i++)
{
int[] index = vs.ConnectedEdges(i);
int[] index2 = vs.ConnectedFaces(i);
Point3d V = vs[i];
if (index.Length == index2.Length)
{
Point3d R = new Point3d();
double n = (double)index.Length;
double u = Math.Pow(0.375 + 0.25 * Math.Cos(Math.PI * 2.0 / n), 2); u = (0.625 - u) / n;
for (int j = 0; j < index.Length; j++)
{
IndexPair pair = el.GetTopologyVertices(index[j]);
R += (vs[pair.I] + vs[pair.J] - V);
}
V = V * (1 - n * u) + R * u;
}
else
{
Point3d R = new Point3d();
for (int j = 0; j < index.Length; j++)
{
if (el.GetConnectedFaces(index[j]).Length == 1)
{
IndexPair pair = el.GetTopologyVertices(index[j]);
R += vs[pair.I] + vs[pair.J];
}
}
V = R * 0.125f + V * 0.5;
}
pv.Add(V);
}
mesh.Vertices.AddVertices(pv);
mesh.Vertices.AddVertices(pe);
for (int i = 0; i < x.Faces.Count; i++)
{
int[] index = vs.IndicesFromFace(i);
int p1 = index[0]; int p2 = index[1]; int p3 = index[2];
int p12 = el.GetEdgeIndex(p1, p2) + pv.Count;
int p23 = el.GetEdgeIndex(p2, p3) + pv.Count;
int p31 = el.GetEdgeIndex(p3, p1) + pv.Count;
mesh.Faces.AddFace(p1, p12, p31);
mesh.Faces.AddFace(p31, p12, p23);
mesh.Faces.AddFace(p3, p31, p23);
mesh.Faces.AddFace(p2, p23, p12);
}
mesh.UnifyNormals();
return(mesh);
}