Towards a generic editor for subdivision surfaces

Subdivision surfaces are defined by a mesh of points and by one or more refinement rules that substitute new, larger subsets of points for existing subsets to yield refined meshes. The refinement rules defining a subdivision surface are known collectively as the refinement process defining the surface. Refinement processes of interest are any for which the successively refined meshes can be shown to converge to a subdivision surface with known smoothness properties. The authors report on the progress of their investigations into software abstractions for refinement, providing for a generic editor to be implemented that can assist in the design of any subdivision surface.