Construct G1 Smooth Surface by Using Triangular Gregory Patches
Xi'an, Shanxi（2010）
摘要
In order to interpolate a given triangle mesh into G1 smooth surface, in this paper, a new bi-cubic triangular Gregory patch is used. It guarantees G1 continuity along common boundary only depending on boundary control points and corresponding interior control points of two adjacent triangular meshes. Some interpolated examples demonstrate that global G1 smooth surfaces can be easily constructed by using the new bi-cubic triangular Gregory patch.
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关键词
triangle mesh interpolation,interior control points,corresponding interior control point,adjacent triangular mesh,interpolation,construct g1 smooth surface,g1 continuity,mesh generation,triangular gregory patches,computational geometry,gregory patch,adjacent triangular meshes,boundary control points,new bi-cubic triangular,triangle mesh,common boundary,free-form surface,g1 smooth surface,bi-cubic triangular gregory patches,boundary control point,interpolated example,mathematical model,triangular mesh,process control,shape
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