public static OFFMesh Refine(OFFMesh mesh)
{
List <Vector3> newVertices = new List <Vector3>();
List <OFFMesh.Triangle> newTriangles = new List <OFFMesh.Triangle>();
int verticesCpt = 0;
foreach (OFFMesh.Triangle t in mesh.triangles)
{
Vector3 AB = (mesh.vertices[t.A] + mesh.vertices[t.B]) / 2f;
Vector3 BC = (mesh.vertices[t.B] + mesh.vertices[t.C]) / 2f;
Vector3 CA = (mesh.vertices[t.C] + mesh.vertices[t.A]) / 2f;
newVertices.Add(AB);
newVertices.Add(mesh.vertices[t.B]);
newVertices.Add(BC);
newVertices.Add(mesh.vertices[t.C]);
newVertices.Add(CA);
newVertices.Add(mesh.vertices[t.A]);
newTriangles.Add(new OFFMesh.Triangle(verticesCpt, verticesCpt + 1, verticesCpt + 2));
newTriangles.Add(new OFFMesh.Triangle(verticesCpt + 2, verticesCpt + 3, verticesCpt + 4));
newTriangles.Add(new OFFMesh.Triangle(verticesCpt + 4, verticesCpt + 5, verticesCpt + 0));
newTriangles.Add(new OFFMesh.Triangle(verticesCpt + 0, verticesCpt + 2, verticesCpt + 4));
verticesCpt += 6;
}
OFFMesh newMesh = new OFFMesh();
newMesh.vertices = newVertices;
newMesh.triangles = newTriangles;
return(MeshFilter.Clean(newMesh));
}
public static OFFMesh Clean(OFFMesh mesh)
{
List <Vector3> newVertices = new List <Vector3>();
List <OFFMesh.Triangle> newTriangles = new List <OFFMesh.Triangle>(mesh.triangles.ToArray());
int newVerticesCount = 0;
List <int> newIndices = new List <int>();
for (int i = 0; i < mesh.vertices.Count; i++)
{
int newIndex = newVertices.IndexOf(mesh.vertices[i]);
if (newIndex < 0)
{
newVertices.Add(mesh.vertices[i]);
newIndices.Add(newVerticesCount++);
}
else
{
newIndices.Add(newIndex);
}
}
foreach (OFFMesh.Triangle t in newTriangles)
{
t.A = newIndices[t.A];
t.B = newIndices[t.B];
t.C = newIndices[t.C];
}
OFFMesh newMesh = new OFFMesh();
newMesh.vertices = newVertices;
newMesh.triangles = newTriangles;
return(newMesh);
}
/*public static OFFMesh Cube (float a, int m)
* {
* OFFMesh mesh = new OFFMesh();
*
* float step = a / (float)m;
* for (int x = 0; x < m; x++)
* {
* for (int y = 0; y < m; y++)
* {
* mesh.vertices.Add(new Vector3(x*step - a/2f, y*step - a/2f, a/2f));
* }
* }
*
* return mesh;
* }
*/
public static OFFMesh Cylinder(float h, float r, int m)
{
OFFMesh mesh = new OFFMesh();
float angStep = 2 * MathF.PI / (float)m;
for (int n = 0; n < m; n++)
{
float a = (float)n * angStep;
mesh.vertices.Add(new Vector3(r * MathF.Cos(a), r * MathF.Sin(a), h / 2f));
mesh.vertices.Add(new Vector3(r * MathF.Cos(a), r * MathF.Sin(a), -h / 2f));
}
mesh.vertices.Add(new Vector3(0f, 0f, h / 2f));
mesh.vertices.Add(new Vector3(0f, 0f, -h / 2f));
for (int n = 0; n < 2 * m; n += 2)
{
Triangle[] tQuad = Quad2Triangles(n, (n + 1) % (2 * m), (n + 3) % (2 * m), (n + 2) % (2 * m));
mesh.triangles.Add(tQuad[0]);
mesh.triangles.Add(tQuad[1]);
mesh.triangles.Add(new Triangle(m, n, (n + 2) % (2 * m)));
mesh.triangles.Add(new Triangle(m + 1, (n + 3) % (2 * m), (n + 1) % (2 * m)));
}
return(mesh);
}
public static OFFMesh VertexClustering(OFFMesh mesh, float clusterSize)
{
// Grouping vertices in clusters
List <Cluster> clusters = new List <Cluster>();
foreach (Vector3 vertex in mesh.vertices)
{
Vector3 floor = vertex / clusterSize;
floor = new Vector3(MathF.Floor(floor.X), MathF.Floor(floor.Y), MathF.Floor(floor.Z)) * clusterSize;
Cluster cluster = clusters.Find(x => x.floorCoordinates == floor);
if (cluster == null)
{
cluster = new Cluster(floor);
clusters.Add(cluster);
}
cluster.vertices.Add(vertex);
}
// Building new vertices list from averages by cluster
List <Vector3> averageVertices = new List <Vector3>();
foreach (Cluster cluster in clusters)
{
averageVertices.Add(cluster.AverageVertex);
}
// Building new triangle list by merging old triangles
List <OFFMesh.Triangle> averageTriangles = new List <OFFMesh.Triangle>();
foreach (OFFMesh.Triangle triangle in mesh.triangles)
{
// A triangle of clusters
Cluster clusterA = clusters.Find(c => c.vertices.Contains(mesh.vertices[triangle.A]));
Cluster clusterB = clusters.Find(c => c.vertices.Contains(mesh.vertices[triangle.B]));
Cluster clusterC = clusters.Find(c => c.vertices.Contains(mesh.vertices[triangle.C]));
// A triangle of new vertices
int averageA = averageVertices.IndexOf(clusterA.AverageVertex);
int averageB = averageVertices.IndexOf(clusterB.AverageVertex);
int averageC = averageVertices.IndexOf(clusterC.AverageVertex);
OFFMesh.Triangle averageTriangle = new OFFMesh.Triangle(averageA, averageB, averageC);
// Ignore flat triangles (if two or more vertices are in the same cluster) and avoid doubles
if (averageA != averageB && averageB != averageC && averageC != averageA &&
averageTriangles.Find(t => t.Equals(averageTriangle)) == null)
{
averageTriangles.Add(averageTriangle);
}
}
// Output mesh
OFFMesh filteredMesh = new OFFMesh();
filteredMesh.vertices = averageVertices;
filteredMesh.triangles = averageTriangles;
return(filteredMesh);
}
static void Main(string[] args)
{
string folder = "D:/TPOutputs";
OFFMesh mesh = OFFMesh.Sphere(5f, 10, 10);
//OFFMesh mesh = OFFMesh.Cylinder (5f, 1f, 100);
//OFFMesh mesh = OFFMesh.Cone(5f, 1f, 100);
//OFFMesh filterdMesh = MeshFilter.VertexClustering(mesh, 2f);
OFFMesh filterdMesh = MeshFilter.Refine(mesh);
mesh.SaveFile(folder + "/filter_before.off");
filterdMesh.SaveFile(folder + "/filter_after.off");
}
public static OFFMesh Sphere(float r, int m, int p)
{
OFFMesh mesh = new OFFMesh();
float mStep = 2 * MathF.PI / (float)m;
float pStep = MathF.PI / (float)(p + 1);
for (int q = 1; q < p + 1; q++)
{
float ap = (float)q * pStep;
float yp = r * MathF.Cos(ap);
float rp = r * MathF.Sin(ap);
for (int n = 0; n < m; n++)
{
float am = (float)n * mStep;
mesh.vertices.Add(new Vector3(rp * MathF.Cos(am), rp * MathF.Sin(am), yp));
}
}
for (int q = 0; q < p - 1; q++)
{
for (int n = 0; n < m; n++)
{
Triangle[] tQuad = Quad2Triangles(q * m + n, q * m + (n + 1) % m, (q + 1) % p * m + (n + 1) % m, (q + 1) % p * m + n);
tQuad[0].Flip();
tQuad[1].Flip();
mesh.triangles.Add(tQuad[0]);
mesh.triangles.Add(tQuad[1]);
}
}
mesh.vertices.Add(new Vector3(0f, 0f, r));
mesh.vertices.Add(new Vector3(0f, 0f, -r));
for (int n = 0; n < m; n++)
{
mesh.triangles.Add(new Triangle(p * m + 1, ((p - 1) * m) + (n + 1) % m, (p - 1) * m + n));
mesh.triangles.Add(new Triangle((n + 1) % m, p * m, n));
}
return(mesh);
}
public static OFFMesh Cone(float h, float r, int m)
{
OFFMesh mesh = new OFFMesh();
float angStep = 2 * MathF.PI / (float)m;
for (int n = 0; n < m; n++)
{
float a = (float)n * angStep;
mesh.vertices.Add(new Vector3(r * MathF.Cos(a), r * MathF.Sin(a), -h / 2f));
}
mesh.vertices.Add(new Vector3(0f, 0f, h / 2f));
mesh.vertices.Add(new Vector3(0f, 0f, -h / 2f));
for (int n = 0; n < m; n++)
{
mesh.triangles.Add(new Triangle(n, (n + 1) % m, m));
mesh.triangles.Add(new Triangle(n, m + 1, (n + 1) % m));
}
return(mesh);
}