Normals of the butterfly subdivision scheme surfaces and their applications

P. Shenkman, N. Dyn, D. Levin

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)157-180
Number of pages24
JournalJournal of Computational and Applied Mathematics
Volume102
Issue number1
DOIs
StatePublished - 15 Feb 1999

Keywords

  • Butterfly scheme
  • Normals
  • Offsets
  • Regular and irregular points
  • Shading
  • Subdivision
  • Triangulation

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