Volume Enclosed by Example Subdivision Surfaces

Authors: Jan Hakenberg

Simple meshes such as the cube, tetrahedron, and tripod frequently appear in the literature to illustrate the concept of subdivision. The formula for the volume enclosed by subdivision surfaces has only recently been identified. We specify simple meshes and state the volume enclosed by the corresponding limit surfaces. We consider the subdivision schemes Doo-Sabin, Midedge, Catmull-Clark, and Loop.

Comments: 28 Pages.

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Submission history

[v1] 2014-05-15 04:16:44

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