projects

Interpolating Subdivision

Below you can see a collection of pictures from our paper Interpolating subdivision for meshes of arbitrary topology (D. Zorin, W. Sweldens, P. Schröder, SIGGRAPH 96.) The main result of our work is a simple modification of the Butterfly scheme of Gregory, Dyn and Levin around vertices of valence not equal to 6. It combats the cusp-like artifacts exhibited by the unmodified scheme in those circumstances.

Left: A tetrahedron is subdivided using the original Butterfly scheme Right: A tetrahedron is subdivided using our modified Butterfly scheme.


Pipe joint. Note the difference between Butterfly and modified Butterfly.
Initial mesh Butterfly subdivision Modified Butterfly subdivision
Initial mesh Modified Butterfly subdivision
Initial mesh Modified Butterfly subdivision