public PolygonMesh TriMeshToDualB()
{
TriMeshModify.RepaireAllHole(mesh);
PolygonMesh dualMesh = new PolygonMesh();
ComputeGeometryB(dualMesh);
MakeTheTopologyB(dualMesh);
return dualMesh;
}
public static PolygonMesh BuildDual(TriMesh mesh, EnumDual type)
{
TriMeshModify.RepaireAllHole(mesh);
PolygonMesh.Vertex[] faceMap = new HalfEdgeMesh.Vertex[mesh.Faces.Count];
PolygonMesh.Vertex[] edgeMap = new HalfEdgeMesh.Vertex[mesh.Edges.Count];
PolygonMesh pm = new PolygonMesh();
foreach (var face in mesh.Faces)
{
Vector3D center = Vector3D.Zero;
switch (type)
{
case EnumDual.DualA:
center = TriMeshUtil.GetMidPoint(face);
break;
case EnumDual.DualB:
TriMesh.Vertex vertex0 = face.GetVertex(0);
TriMesh.Vertex vertex1 = face.GetVertex(1);
TriMesh.Vertex vertex2 = face.GetVertex(2);
Triangle triangle = new Triangle(vertex0.Traits.Position,
vertex1.Traits.Position,
vertex2.Traits.Position);
center = triangle.ComputeCircumCenter();
break;
default:
break;
}
PolygonMesh.Vertex v = new HalfEdgeMesh.Vertex(new VertexTraits(center));
faceMap[face.Index] = v;
pm.AppendToVertexList(v);
}
foreach (var edge in mesh.Edges)
{
VertexTraits trait = new VertexTraits(TriMeshUtil.GetMidPoint(edge));
PolygonMesh.Vertex v = new HalfEdgeMesh.Vertex(trait);
edgeMap[edge.Index] = v;
pm.AppendToVertexList(v);
}
foreach (var v in mesh.Vertices)
{
List<PolygonMesh.Vertex> list = new List<HalfEdgeMesh.Vertex>();
foreach (var hf in v.HalfEdges)
{
list.Add(faceMap[hf.Face.Index]);
list.Add(edgeMap[hf.Edge.Index]);
}
list.Reverse();
pm.Faces.Add(list.ToArray());
}
return pm;
}
public void ComputeGeometryB(PolygonMesh dualMesh)
{
TriMesh.Vertex[] edgeVertices = new TriMesh.Vertex[mesh.Faces.Count * 3];
foreach (TriMesh.Edge e in mesh.Edges)
{
Vector3D midVertex0 = TriMeshUtil.GetMidPoint(e);
dualMesh.Vertices.Add(new VertexTraits(midVertex0.x, midVertex0.y, midVertex0.z));
}
foreach (TriMesh.Face f in mesh.Faces)
{
Vector3D baryCenter = TriMeshUtil.GetMidPoint(f);
dualMesh.Vertices.Add(new VertexTraits(baryCenter.x, baryCenter.y, baryCenter.z));
}
}
public void DrawDualMeshLine(PolygonMesh mesh)
{
GL.ShadeModel(ShadingModel.Smooth);
GL.PolygonMode(MaterialFace.FrontAndBack, PolygonMode.Fill);
OpenGLManager.Instance.SetColor(GlobalSetting.DisplaySetting.DualColor);
for (int i = 0; i < mesh.Faces.Count; i++)
{
GL.Begin(BeginMode.LineLoop);
foreach (TriMesh.Vertex v in mesh.Faces[i].Vertices)
{
GL.Vertex3(v.Traits.Position.x, v.Traits.Position.y, v.Traits.Position.z);
}
GL.End();
}
GL.Flush();
}
public void DrawDualMeshLine(PolygonMesh mesh)
{
GL.ShadeModel(ShadingModel.Smooth);
GL.PolygonMode(MaterialFace.FrontAndBack, PolygonMode.Fill);
OpenGLManager.Instance.SetColor(GlobalSetting.DisplaySetting.DualColor);
for (int i = 0; i < mesh.Faces.Count; i++)
{
GL.Begin(BeginMode.LineLoop);
foreach (TriMesh.Vertex v in mesh.Faces[i].Vertices)
{
GL.Vertex3(v.Traits.Position.x, v.Traits.Position.y, v.Traits.Position.z);
}
GL.End();
}
GL.Flush();
}
public static PolygonMesh AddOneTriangle()
{
PolygonMesh mesh = new PolygonMesh();
return mesh;
}
public static PolygonMesh AddOneTriangle()
{
PolygonMesh mesh = new PolygonMesh();
return(mesh);
}
public void MakeTheTopologyB(PolygonMesh dualMesh)
{
List<TriMesh.Vertex> boundaryVertices = new List<TriMesh.Vertex>();
boundaryVertices = TriMeshUtil.RetrieveAllBoundaryVertex(mesh);
foreach (TriMesh.Face face in mesh.Faces)
{
int index = face.Index;
int baryVertexIndex = mesh.Edges.Count;
int edgeVertexIndex;
int faceIndex = index;
TriMesh.Edge boundaryEdge = new TriMesh.Edge();
TriMesh.HalfEdge tempHalfedge = new TriMesh.HalfEdge();
TriMesh.Vertex vertex0 = mesh.Faces[index].GetVertex(0);
TriMesh.Vertex vertex1 = mesh.Faces[index].GetVertex(1);
TriMesh.Vertex vertex2 = mesh.Faces[index].GetVertex(2);
TriMesh.HalfEdge halfedge0 = vertex0.FindHalfedgeTo(vertex1);
TriMesh.HalfEdge halfedge1 = vertex1.FindHalfedgeTo(vertex2);
TriMesh.HalfEdge halfedge2 = vertex2.FindHalfedgeTo(vertex0);
TriMesh.HalfEdge boundaryHalfedge = new TriMesh.HalfEdge();
tempHalfedge = halfedge0;
edgeVertexIndex = halfedge0.Edge.Index;
TriMesh.Vertex firstVertex = dualMesh.Vertices[baryVertexIndex + faceIndex];
TriMesh.Vertex secondVertex = dualMesh.Vertices[edgeVertexIndex];
if (firstVertex.FindHalfedgeTo(secondVertex) == null)
{
List<TriMesh.Vertex> ringVertices = new List<TriMesh.Vertex>();
do
{
ringVertices.Add(dualMesh.Vertices[baryVertexIndex + faceIndex]);
ringVertices.Add(dualMesh.Vertices[edgeVertexIndex]);
if (tempHalfedge.Opposite.Next.Face != null)
{
tempHalfedge = tempHalfedge.Opposite.Next;
faceIndex = tempHalfedge.Face.Index;
edgeVertexIndex = tempHalfedge.Edge.Index;
}
else
{
tempHalfedge = tempHalfedge.Opposite.Next;
edgeVertexIndex = tempHalfedge.Edge.Index;
faceIndex = tempHalfedge.Opposite.Next.Face.Index;
}
} while (tempHalfedge != halfedge0);
TriMesh.Vertex[] newFaceVertices = new TriMesh.Vertex[ringVertices.Count];
for (int i = 0; i < ringVertices.Count; i++)
{
newFaceVertices[i] = ringVertices[i];
}
dualMesh.Faces.Add(newFaceVertices);
}
tempHalfedge = halfedge1;
edgeVertexIndex = halfedge1.Edge.Index;
firstVertex = dualMesh.Vertices[baryVertexIndex + faceIndex];
secondVertex = dualMesh.Vertices[edgeVertexIndex];
if (firstVertex.FindHalfedgeTo(secondVertex) == null)
{
List<TriMesh.Vertex> ringVertices = new List<TriMesh.Vertex>();
do
{
ringVertices.Add(dualMesh.Vertices[baryVertexIndex + faceIndex]);
ringVertices.Add(dualMesh.Vertices[edgeVertexIndex]);
if (tempHalfedge.Opposite.Next != null)
{
tempHalfedge = tempHalfedge.Opposite.Next;
faceIndex = tempHalfedge.Face.Index;
edgeVertexIndex = tempHalfedge.Edge.Index;
}
else
{
continue;
}
} while (tempHalfedge != halfedge1);
TriMesh.Vertex[] newFaceVertices = new TriMesh.Vertex[ringVertices.Count];
for (int i = 0; i < ringVertices.Count; i++)
{
newFaceVertices[i] = ringVertices[i];
}
dualMesh.Faces.Add(newFaceVertices);
}
tempHalfedge = halfedge2;
edgeVertexIndex = halfedge2.Edge.Index;
firstVertex = dualMesh.Vertices[baryVertexIndex + faceIndex];
secondVertex = dualMesh.Vertices[edgeVertexIndex];
if (firstVertex.FindHalfedgeTo(secondVertex) == null)
{
List<TriMesh.Vertex> ringVertices = new List<TriMesh.Vertex>();
do
{
ringVertices.Add(dualMesh.Vertices[baryVertexIndex + faceIndex]);
ringVertices.Add(dualMesh.Vertices[edgeVertexIndex]);
if (tempHalfedge.Opposite.Next != null)
{
tempHalfedge = tempHalfedge.Opposite.Next;
faceIndex = tempHalfedge.Face.Index;
edgeVertexIndex = tempHalfedge.Edge.Index;
}
else
{
continue;
}
} while (tempHalfedge != halfedge2);
TriMesh.Vertex[] newFaceVertices = new TriMesh.Vertex[ringVertices.Count];
for (int i = 0; i < ringVertices.Count; i++)
{
newFaceVertices[i] = ringVertices[i];
}
dualMesh.Faces.Add(newFaceVertices);
}
}
}
public void ComputeGeometryC(PolygonMesh dualMesh)
{
//get the mid-Vertex of each edges
TriMesh.Vertex[] edgeVertices = new TriMesh.Vertex[mesh.Faces.Count * 3];
foreach (TriMesh.Edge e in mesh.Edges)
{
Vector3D midVertex0 = TriMeshUtil.GetMidPoint(e);
dualMesh.Vertices.Add(new VertexTraits(midVertex0.x,
midVertex0.y,
midVertex0.z));
}
//get circumcentre of each faces
foreach (TriMesh.Face f in mesh.Faces)
{
TriMesh.Vertex vertex0 = f.GetVertex(0);
TriMesh.Vertex vertex1 = f.GetVertex(1);
TriMesh.Vertex vertex2 = f.GetVertex(2);
Triangle triangle = new Triangle(vertex0.Traits.Position, vertex1.Traits.Position, vertex2.Traits.Position);
Vector3D circumCenter = triangle.ComputeCircumCenter();
dualMesh.Vertices.Add(new VertexTraits(circumCenter.x,
circumCenter.y,
circumCenter.z));
}
}