An approach for embedding regular analytic shapes with subdivision surfaces

作者:Abbas, Abdulwahed; Nasri, Ahmad*; Ma, Weiyin
来源:ADVANCES IN COMPUTER GRAPHICS, PROCEEDINGS, SPRINGER-VERLAG BERLIN, HEIDELBERGER PLATZ 3, D-14197 BERLIN, GERMANY, 417-429, 2006.

摘要

This paper presents an approach for embedding regular analytic shapes within subdivision surfaces. The approach is illustrated through the construction of compound Spherical-Catmull-Clark subdivision surfaces. It starts with a subdivision mechanism that can generate a perfect sphere. This mechanism stems from the geometric definition of the sphere shape. Thus, it comes with a trivial proof that the target of the construction is what it is. Furthermore, the similarity of this mechanism to the Catmull-Clark subdivision scheme is exploited to embed spherical surfaces within Catmull-Clark Surfaces, which holds a great potential for many practical applications.

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