Normals of the butterfly subdivision scheme surfaces and their applications

P. Shenkman; N. Dyn; D. Levin

doi:10.1016/S0377-0427(98)00213-1

Normals of the butterfly subdivision scheme surfaces and their applications

P. Shenkman, N. Dyn, D. Levin

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

The 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.

Original language	English
Pages (from-to)	157-180
Number of pages	24
Journal	Journal of Computational and Applied Mathematics
Volume	102
Issue number	1
DOIs	https://doi.org/10.1016/S0377-0427(98)00213-1
State	Published - 15 Feb 1999

Keywords

Butterfly scheme
Normals
Offsets
Regular and irregular points
Shading
Subdivision
Triangulation

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10.1016/S0377-0427(98)00213-1

Cite this

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KW - Normals

KW - Offsets

KW - Regular and irregular points

KW - Shading

KW - Subdivision

KW - Triangulation

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Normals of the butterfly subdivision scheme surfaces and their applications

Abstract

Keywords

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