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Semi-regular 4-8 refinement and box spline surfaces

Luiz Velho

We introduce a new mesh refinement method for subdivision surfaces. It generates a semiregular 3-direction hierarchical structure from control meshes representing 2D manifolds of arbitrary topology. The main advantage of this structure is that it allows the extraction of conforming variable-resolution meshes based on spatially varying adaptation functions. We also present a smoothing method designed to work in conjunction with our semi-regular refinement. It produces generalized four direction box spline surfaces of class C/sup 1/. Together the refinement and smoothing operators result in a subdivision scheme that is very effective in multiresolution applications.

http://sibgrapi.sid.inpe.br/rep-/sid.inpe.br/banon/2002/11.06.10.38

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