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论文类型：会议论文

发表时间：2008-01-01

收录刊物：CPCI-S

页面范围：191-204

关键字：4-point approximating subdivision; interpolated constraint; geometric continuity; piecewise design

摘要：The aim of this paper is to develop a modified 4-point approximating subdivision for curve/surface design with local interpolated constraint and smooth piecewise design. The modified subdivision curve is of C-1-continuity at the interpolated control vertex. Based on the modified subdivision, a G(1)-continuity condition between two limit curves as well as surfaces is given. A 4-point approximating curve subdivision scheme is also extended to surface subdivision on meshes with arbitrary topology, the limit surface is of C-2-continuity almost everywhere except at extraordinary vertices where they are C-1-continuous. A surface subdivision algorithm with local curve interpolated constraint is also discussed for designing surfaces which can interpolate any parametric curve in the end of the paper.