/**
* creates a new triangle facet within the hole incident to h by connecting the tip of h with two
* new halfedges and a new vertex. Returns the halfedge of the new edge that is incident to the
* new facet and the new vertex.
*/
public Halfedge<X> addTriangleToBorder(Halfedge h, X point) {
if (h.face != null) throw new Error("no border edge");
System.out.println("adding triangle to " + h);
Face<X> newFace = new Face<X>();
Vertex<X> newVertex = new Vertex<X>(point);
Halfedge<X> hPrev = new Halfedge<X>();
Halfedge<X> hNext = new Halfedge<X>();
Halfedge<X> hPrevOpp = new Halfedge<X>();
Halfedge<X> hNextOpp = new Halfedge<X>();
// setting the new face
newFace.setEdge(h);
// setting hPrev (halfedge preceding h in the new face)
hPrev.setFace(newFace);
hPrev.setVertex(h.getOpposite().getVertex());
hPrev.setPrev(hNext);
hPrev.setNext(h);
hPrev.setOpposite(hPrevOpp);
// setting hNext (halfedge following h in the new face)
hNext.setFace(newFace);
hNext.setVertex(newVertex);
hNext.setPrev(h);
hNext.setNext(hPrev);
hNext.setOpposite(hNextOpp);
// setting hPrevOpp (new boundary halfedge)
hPrevOpp.setFace(null);
hPrevOpp.setVertex(newVertex);
hPrevOpp.setPrev(h.getPrev());
hPrevOpp.setNext(hNextOpp);
hPrevOpp.setOpposite(hPrev);
// setting hNextOpp (the other new boundary halfedge)
hNextOpp.setFace(null);
hNextOpp.setVertex(h.getVertex());
hNextOpp.setPrev(hPrevOpp);
hNextOpp.setNext(h.getNext());
hNextOpp.setOpposite(hNext);
// updating old boundary halfedge informations
h.setFace(newFace);
h.setPrev(hPrev);
h.setNext(hNext);
// setting newVertex
newVertex.setEdge(hPrev); // LCA: a controler si c'est hPrev ou hNext
// adding new facet, vertex and the four halfedges
this.vertices.add(newVertex);
this.facets.add(newFace);
this.halfedges.add(hPrev);
this.halfedges.add(hNext);
this.halfedges.add(hPrevOpp);
this.halfedges.add(hNextOpp);
return hNext;
}
/**
* a triangle with border edges is added to the polyhedral surface. Returns a non-border halfedge
* of the triangle.
*/
public Halfedge<X> makeTriangle(X p1, X p2, X p3) {
Face<X> newFace = new Face<X>();
Vertex<X> newVertex1 = new Vertex<X>(p1);
Vertex<X> newVertex2 = new Vertex<X>(p2);
Vertex<X> newVertex3 = new Vertex<X>(p3);
Halfedge<X> e1 = new Halfedge<X>();
Halfedge<X> e2 = new Halfedge<X>();
Halfedge<X> e3 = new Halfedge<X>();
Halfedge<X> e1Opp = new Halfedge<X>();
Halfedge<X> e2Opp = new Halfedge<X>();
Halfedge<X> e3Opp = new Halfedge<X>();
// setting the new face
newFace.setEdge(e1);
// setting the new vertices (LCA: a' controler)
newVertex1.setEdge(e2);
newVertex2.setEdge(e3);
newVertex3.setEdge(e1);
// setting e1
e1.setFace(newFace);
e1.setVertex(newVertex1);
e1.setPrev(e3);
e1.setNext(e2);
e1.setOpposite(e1Opp);
// setting e2
e2.setFace(newFace);
e2.setVertex(newVertex2);
e2.setPrev(e1);
e2.setNext(e3);
e2.setOpposite(e2Opp);
// setting e3
e3.setFace(newFace);
e3.setVertex(newVertex3);
e3.setPrev(e2);
e3.setNext(e1);
e3.setOpposite(e3Opp);
// setting e1Opp (boundary halfedge opposite to e1)
e1Opp.setFace(null);
e1Opp.setVertex(newVertex3);
e1Opp.setPrev(e2Opp);
e1Opp.setNext(e3Opp);
e1Opp.setOpposite(e1);
// setting e2Opp (boundary halfedge opposite to e2)
e2Opp.setFace(null);
e2Opp.setVertex(newVertex1);
e2Opp.setPrev(e3Opp);
e2Opp.setNext(e1Opp);
e2Opp.setOpposite(e2);
// setting e3Opp (boundary halfedge opposite to e3)
e3Opp.setFace(null);
e3Opp.setVertex(newVertex2);
e3Opp.setPrev(e1Opp);
e3Opp.setNext(e2Opp);
e3Opp.setOpposite(e3);
this.facets.add(newFace);
this.vertices.add(newVertex1);
this.vertices.add(newVertex2);
this.vertices.add(newVertex3);
this.halfedges.add(e1);
this.halfedges.add(e1Opp);
this.halfedges.add(e2);
this.halfedges.add(e2Opp);
this.halfedges.add(e3);
this.halfedges.add(e3Opp);
return e1;
}