Smoothness of Subdivision Surfaces with Boundary
نویسندگان
چکیده
Subdivision rules formesheswith boundary are essential for practical applications of subdivision surfaces. These rules have to result in piecewise C -continuous boundary limit curves and ensure C -continuity of the surface itself. Extending the theory of Zorin (Constr Approx 16(3):359–397, 2000), we present in this paper general necessary and sufficient conditions for C -continuity of subdivision schemes for surfaces with boundary, and specialize these to practically applicable sufficient conditions for C1-continuity. We use these conditions to show that certain boundary rules for Loop and Catmull–Clark are in fact C1 continuous.
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تاریخ انتشار 2015