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2010
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Construction of Minimal Catmull-Clark's Subdivision Surfaces with Given Boundaries

8 years 9 months ago
Construction of Minimal Catmull-Clark's Subdivision Surfaces with Given Boundaries
Minimal surface is an important class of surfaces. They are widely used in the areas such as architecture, art and natural science etc.. On the other hand, subdivision technology has always been active in computer aided design since its invention. The flexibility and high quality of the subdivision surface makes them a powerful tool in geometry modeling and surface designing. In this paper, we combine these two ingredients together aiming at constructing minimal subdivision surfaces. We use the mean curvature flow, a second order geometric partial differential equation, to construct minimal Catmull-Clark’s subdivision surfaces with specified B-spline boundary curves. The mean curvature flow is solved by a finite element method where the finite element space is spanned by the limit functions of the modified Catmull-Clark’s subdivision scheme. Key words: Minimal Subdivision Surface, Catmull-Clark’s Subdivision, Mean Curvature Flow. MR (2000) Classification: 65D17
Qing Pan, Guoliang Xu
Added 12 Aug 2010
Updated 12 Aug 2010
Type Conference
Year 2010
Where GMP
Authors Qing Pan, Guoliang Xu
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