“Non-uniform recursive subdivision surfaces” by Sederberg, Zheng, Sewell and Sabin

  • ©Thomas (Tom) W. Sederberg, Jianmin Zheng, David Sewell, and Malcolm Sabin




    Non-uniform recursive subdivision surfaces



    Doo-Sabin and Catmull-Clark subdivision surfaces are based on the notion of repeated knot insertion of uniform tensor product B-spline surfaces. This paper develops rules for non-uniform Doo-Sabin and Catmull-Clark surfaces that generalize non-uniform tensor product B-spline surfaces to arbitrary topologies. This added flexibility allows, among other things, the natural introduction of features such as cusps, creases, and darts, while elsewhere maintaining the same order of continuity as their uniform counterparts.


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