public static int GetEdgePointKey(int vi, int vj, MeshStruct meshStruct)
{
int qi = meshStruct.FindQuad(vi, vj);
int qj = meshStruct.FindQuad(vj, vi);
if (qi > qj) // quad index may be -1 (if hole)
{
return((qi << 3) | (meshStruct.GetIndexInQuad(qi, vi) << 1));
}
else
{
return((qj << 3) | (meshStruct.GetIndexInQuad(qj, vj) << 1));
}
}
public MeshData Subdivide()
{
// based on:
// http://www.rorydriscoll.com/2008/08/01/catmull-clark-subdivision-the-basics/
// https://rosettacode.org/wiki/Catmull%E2%80%93Clark_subdivision_surface
var newVertices = new Utils.OrderedDictionary <int, Vertex>();
// reserve indices for new control-points (we need no special unique keys for them)
for (int vi = 0; vi < vertices.Length; ++vi)
{
newVertices.items.Add(default(Vertex));
}
// face-point
for (int qi = 0; qi < meshStruct.quads.Length; ++qi)
{
int[] q = meshStruct.quads[qi];
Vertex facePoint = Average(q.Select(vi => vertices[vi]).ToArray());
int facePointKey = GetFacePointKey(qi);
newVertices.Add(facePointKey, facePoint);
}
// edge-point
var edgeMidPoints = new Dictionary <int, Vertex>();
for (int qi = 0; qi < meshStruct.quads.Length; ++qi)
{
int[] q = meshStruct.quads[qi];
foreach (int vi in q)
{
int vj = meshStruct.GetNextInQuad(qi, vi);
int edgePointKey = GetEdgePointKey(vi, vj, meshStruct);
if (!newVertices.HasKey(edgePointKey))
{
// edge-midpoint (for control-point calculation)
Vertex midPoint = Average(new[] {
vertices[vi],
vertices[vj],
});
edgeMidPoints[edgePointKey] = midPoint;
// edge-point
int qj = meshStruct.FindQuad(vj, vi);
if (qj == -1) // for the edges that are on the border of a hole, the edge point is just the middle of the edge.
{
newVertices.Add(edgePointKey, midPoint);
}
else
{
Vertex edgePoint = Average(new[] {
vertices[vi],
vertices[vj],
newVertices.GetItem(GetFacePointKey(qi)),
newVertices.GetItem(GetFacePointKey(qj)),
});
newVertices.Add(edgePointKey, edgePoint);
}
}
}
}
// control-point
for (int vi = 0; vi < vertices.Length; ++vi)
{
int[] vjs = meshStruct.GetAllNeighbors(vi);
// check hole edges
int[] hvjs = vjs.Where(vj =>
meshStruct.FindQuad(vi, vj) == -1 ||
meshStruct.FindQuad(vj, vi) == -1
).ToArray();
if (hvjs.Any()) // hole edge vertices
// edge-midpoints
{
Vertex edgeMidAverage = Average(hvjs.Select(vj =>
edgeMidPoints[GetEdgePointKey(vi, vj, meshStruct)]
).ToArray());
// new control-point
Vertex controlPoint = Average(new[] {
edgeMidAverage,
vertices[vi]
});
newVertices.items[vi] = controlPoint; // set control-point to reserved index
}
else
{
// edge-midpoints
Vertex edgeMidAverage = Average(vjs.Select(vj =>
edgeMidPoints[GetEdgePointKey(vi, vj, meshStruct)]
).ToArray());
// face-points
Vertex faceAverage = Average(meshStruct.vertexQuads[vi].Select(qi =>
newVertices.GetItem(GetFacePointKey(qi))
).ToArray());
// new control-point
Vertex controlPoint = Average(new[] {
faceAverage,
edgeMidAverage,
vertices[vi]
}, new[] { 1f, 2f, vjs.Length - 3f });
newVertices.items[vi] = controlPoint; // set control-point to reserved index
}
}
// new quads
// eis[i]
// q[i].----.----.q[i+1]
// | |
// eis[i+3]. fi. .
// | |
// .____.____.
int ql = meshStruct.quads.Length;
var newQuads = new int[ql * 4][];
for (int qi = 0; qi < ql; ++qi)
{
int[] q = meshStruct.quads[qi];
//
int fi = newVertices.indices[GetFacePointKey(qi)]; // face-point index
int[] eis = new int[4]; // edge-point indices
for (int i = 0; i < 4; ++i)
{
eis[i] = newVertices.indices[GetEdgePointKey(q[i], q[(i + 1) % 4], meshStruct)];
}
for (int i = 0; i < 4; ++i)
{
int[] qq = new int[4]; // shift indices (+ i) to keep quad orientation
qq[(0 + i) % 4] = q[i];
qq[(1 + i) % 4] = eis[i];
qq[(2 + i) % 4] = fi;
qq[(3 + i) % 4] = eis[(i + 3) % 4];
//newQuads[qi * 4 + i] = qq; // less fragmentized quads
newQuads[ql * i + qi] = qq; // more fragmentized, but we keep "first quad" (i == 0) indices in quads array
}
}
MeshData md = new MeshData(newVertices.items.ToArray(), newQuads, vertexContent);
return(md);
}