Figure 2.

Coning off a surface with boundary. The method presented in this paper is currently optimized for surfaces of genus zero. These surfaces do not have a boundary. The meshes included in our test sets however have one boundary, whose limits are somewhat arbitrary. To fill in the corresponding hole, we detect all vertices and edges on the boundary, compute the centre of gravity G of these vertices, and add to the mesh all the triangles formed by connecting G to the edges of the boundary. The result is a genus zero surface with no boundary.