private ColMatrix BuildMatrixA(List <VertexRecord> records, int[] faceIndex, double[] lapWeight, double[] posWeight, double weightAdjustment)
{
// build backward map
int[] map = new int[mesh.VertexCount];
for (int i = 0; i < records.Count; i++)
{
map[records[i].index] = i;
}
int n = records.Count;
int fn = faceIndex.Length / 3;
SparseMatrix A = new SparseMatrix(2 * n, n);
this.currentArea = new double[n];
for (int i = 0; i < n; i++)
{
currentArea[i] = 0;
}
for (int i = 0, j = 0; i < fn; i++, j += 3)
{
int c1 = faceIndex[j];
int c2 = faceIndex[j + 1];
int c3 = faceIndex[j + 2];
Vector3d v1 = new Vector3d(mesh.VertexPos, c1 * 3);
Vector3d v2 = new Vector3d(mesh.VertexPos, c2 * 3);
Vector3d v3 = new Vector3d(mesh.VertexPos, c3 * 3);
double cot1 = (v2 - v1).Dot(v3 - v1) / (v2 - v1).Cross(v3 - v1).Length();
double cot2 = (v3 - v2).Dot(v1 - v2) / (v3 - v2).Cross(v1 - v2).Length();
double cot3 = (v1 - v3).Dot(v2 - v3) / (v1 - v3).Cross(v2 - v3).Length();
//cot1 = cot2 = cot3 = 1.0;
if (double.IsNaN(cot1))
{
throw new Exception();
}
if (double.IsNaN(cot2))
{
throw new Exception();
}
if (double.IsNaN(cot3))
{
throw new Exception();
}
c1 = map[c1];
c2 = map[c2];
c3 = map[c3];
A.AddValueTo(c2, c2, -cot1); A.AddValueTo(c2, c3, cot1);
A.AddValueTo(c3, c3, -cot1); A.AddValueTo(c3, c2, cot1);
A.AddValueTo(c3, c3, -cot2); A.AddValueTo(c3, c1, cot2);
A.AddValueTo(c1, c1, -cot2); A.AddValueTo(c1, c3, cot2);
A.AddValueTo(c1, c1, -cot3); A.AddValueTo(c1, c2, cot3);
A.AddValueTo(c2, c2, -cot3); A.AddValueTo(c2, c1, cot3);
double area = ((v2 - v1).Cross(v3 - v1)).Length() / 2.0;
currentArea[c1] += area;
currentArea[c2] += area;
currentArea[c3] += area;
}
for (int i = 0; i < n; i++)
{
double tot = 0;
foreach (SparseMatrix.Element e in A.Rows[i])
{
if (e.i != e.j)
{
tot += e.value;
}
}
if (tot > 10000)
{
foreach (SparseMatrix.Element e in A.Rows[i])
{
e.value /= (tot / 10000);
}
}
foreach (SparseMatrix.Element e in A.Rows[i])
{
e.value *= lapWeight[records[i].index] * weightAdjustment;
}
}
// positional constraints
for (int i = 0; i < n; i++)
{
int j = records[i].index;
double weight = posWeight[j] * (currentArea[i] / originalArea[j]);
if (weight <= 0)
{
weight = posWeight[i];
}
A.AddValueTo(i + n, i, weight);
}
A.SortElement();
ColMatrixCreator cmA = new ColMatrixCreator(2 * n, n);
foreach (List <SparseMatrix.Element> r in A.Rows)
{
foreach (SparseMatrix.Element e in r)
{
cmA.AddValueTo(e.i, e.j, e.value);
}
}
return(cmA);
}
private ColMatrix BuildMatrixA(Resolution r, double[] lapWeight, double[] posWeight)
{
// build backward map
int[] map = new int[mesh.VertexCount];
for (int i = 0; i < r.vertexList.Length; i++)
{
map[r.vertexList[i]] = i;
}
int n = r.vertexList.Length;
int fn = r.faceList.Length / 3;
SparseMatrix A = new SparseMatrix(2 * n, n);
for (int i = 0, j = 0; i < fn; i++, j += 3)
{
int c1 = r.faceList[j];
int c2 = r.faceList[j + 1];
int c3 = r.faceList[j + 2];
Vector3d v1 = new Vector3d(mesh.VertexPos, c1 * 3);
Vector3d v2 = new Vector3d(mesh.VertexPos, c2 * 3);
Vector3d v3 = new Vector3d(mesh.VertexPos, c3 * 3);
double cot1 = (v2 - v1).Dot(v3 - v1) / (v2 - v1).Cross(v3 - v1).Length();
double cot2 = (v3 - v2).Dot(v1 - v2) / (v3 - v2).Cross(v1 - v2).Length();
double cot3 = (v1 - v3).Dot(v2 - v3) / (v1 - v3).Cross(v2 - v3).Length();
//cot1 = cot2 = cot3 = 1.0;
if (double.IsNaN(cot1))
{
throw new Exception();
}
if (double.IsNaN(cot2))
{
throw new Exception();
}
if (double.IsNaN(cot3))
{
throw new Exception();
}
c1 = map[c1];
c2 = map[c2];
c3 = map[c3];
A.AddValueTo(c2, c2, -cot1); A.AddValueTo(c2, c3, cot1);
A.AddValueTo(c3, c3, -cot1); A.AddValueTo(c3, c2, cot1);
A.AddValueTo(c3, c3, -cot2); A.AddValueTo(c3, c1, cot2);
A.AddValueTo(c1, c1, -cot2); A.AddValueTo(c1, c3, cot2);
A.AddValueTo(c1, c1, -cot3); A.AddValueTo(c1, c2, cot3);
A.AddValueTo(c2, c2, -cot3); A.AddValueTo(c2, c1, cot3);
}
for (int i = 0; i < n; i++)
{
double tot = 0;
foreach (SparseMatrix.Element e in A.Rows[i])
{
if (e.i != e.j)
{
tot += e.value;
}
}
if (tot > 10000)
{
foreach (SparseMatrix.Element e in A.Rows[i])
{
e.value /= (tot / 10000);
}
}
foreach (SparseMatrix.Element e in A.Rows[i])
{
e.value *= lapWeight[r.vertexList[i]];
}
}
// positional constraints
for (int i = 0; i < n; i++)
{
A.AddElement(i + n, i, posWeight[r.vertexList[i]]);
}
A.SortElement();
ColMatrixCreator cmA = new ColMatrixCreator(2 * n, n);
foreach (List <SparseMatrix.Element> row in A.Rows)
{
foreach (SparseMatrix.Element e in row)
{
cmA.AddValueTo(e.i, e.j, e.value);
}
}
return(cmA);
}