Normals of the butterfly subdivision scheme surfaces and their applications
- Shenkman, P.
- Dyn, N.
- Levin, D.
Publication date
February 1999
DOI Publisher
Published by Elsevier B.V. ISSN
0377-0427Abstract
AbstractThe paper presents explicit formulas for calculating normals to surfaces generated by the butterfly interpolatory subdivision scheme from a general initial triangulation of control points. Two applications of these formulas are presented: building offsets to surfaces generated by the butterfly scheme and Gouraud shading of surfaces generated by this scheme as well as shading of their offsets
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