Normals of the butterfly subdivision scheme surfaces and their applications (Q1300790)
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scientific article; zbMATH DE number 1331077
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Normals of the butterfly subdivision scheme surfaces and their applications |
scientific article; zbMATH DE number 1331077 |
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Normals of the butterfly subdivision scheme surfaces and their applications (English)
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2 September 1999
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The authors determine the partial derivatives and normals of a surface generated by the butterfly interpolatory subdivision scheme from a general initial triangulation of control points. This butterfly scheme is a generalization of the 4-point scheme for curve design to surfaces. This result is applied to two problems: building offsets to surfaces generated by the butterfly scheme and Gouraud shading of these surfaces as well as shading of their offsets.
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fast generation of surfaces
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normals
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offsets
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butterfly interpolatory subdivision scheme
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curve design
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Gouraud shading
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