This class represents the level 0 of CHE, it only contains the most basic information needed for triangular meshes, which are the geometry about the vertices and which vertices represent each triangle.

Attributes

• _tableGeometry: saves the geometry data of each vertex
• _tableVertices: Stores which vertices are part of each triangle
• _nVertex: Stores the amount of vertices in the _tableGeometry attribute
• _nTriangle: Stores the amount of triangles in the _tableVertices attribute

Initializers

• computeNormals()
  • Computes the normal of each vertex of the mesh.

Getters

• vertexCount: returns the amount of vertices in the mesh.

• triangleCount: returns the amount of triangles in the mesh.

• halfEdgeCount: returns the amount of half-edges in the mmesh.

• getVertex(vertexId)

  • returns the vertex at the vertexId index.

• getHalfEdgeVertex(heId)

  • returns the vertex associated with the half-edge at the heId index.

• triangle(heId)

  • returns the triangle that the half-edge at heId is a part of.

• getTriangleCenter(triId)

  • returns the average x,y,z from the three vertices in the triId triangle.

Validators

• isValidVertex(vertexId)
  • checks if vertexId is a valid vertex element.
• isValidHalfEdge(heId)
  • checks if heId is a valid half-edge element.

Geommetry modification

• setVertex(vertexId, geometry)
  • changes the geometry of the vertex at the vertexId index.
• setHalfEdgeVertex(heId, vertexId)
  • changes the vertex assocciated with a half-edge.

Half-Edge operators

• nextHalfEdge(heId)

  • returns the index of the "next" half-edge in the triangle that heId is a part of.

• previousHalfEdge(heId)

  • returns the index of the "previous" half-edge in the triangle that heId is a part of.

Relation methods

• relation00(vertexId)

  • Returns the index of the vertices in the star of the vertex identified by vertexId.

• relation02(vertexId)

  • Returns the index of the triangles in the star of the vertex identified by vertexId.

• relation10(halfEdgeId)

  • Returns the index of the vertices in the star of the edge identified by halfEdgeId.

• relation12(halfEdgeId)

  • Returns the index of the triangles in the star of the edge identified by halfEdgeId.

• relation22(halfEdgeId)

  • Returns the index of the triangles in the star of the triangle that contains the half-edge identified by halfEdgeId.

Integrity

• testGeometryTable()
  • checks if the amount of vertex stores in the geometry table is equal to the _nVertex attribute.
• testVertexTable()
  • checks if the amount of elements in the vertice table is equal to 3 * the value of _nTriangle.
• testHalfEdges()
  • Checks if all half-edges are valid, by checking if all of them have "next" and "previous" half-edges.