Abstract
We introduce a new subdivision schème that can be used to generate limit surfaces of either odd or even, degree. The scheme, which requires only linear subdivision and local smoothing operations, differs from existing evendegree schemes in that it is able to correctly propagate attributes such as texturecoordinates or polygon colors to intermediate meshes without introducing errors. The new approach also permits the use of creases on even-degree surfaces, in a similar fashion to current odd-degree methods.
The new scheme also permits the generation of surfaces that interpolate between limit-surfaces of different degrees. In addition, the target limit-surface degree can be specified to vary over the input mesh; the algorithm smoothly interpolates between regions of differing degree. As a result, artists have more flexible tools for controlling the limit-surface shape.