Trimming implicit surfaces

Galina Pasko, Alexander Pasko

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

Algorithms for trimming implicit surfaces yielding surface sheets and stripes are presented. These two-dimensional manifolds with boundaries result from set-theoretic operations on an implicit surface and a solid or another implicit surface. The algorithms generate adaptive polygonal approximation of the trimmed surfaces by extending our original implicit surface polygonization algorithm. The presented applications include modeling several spiral shaped surface sheets and stripes (based on M. Escher's art-works) and extraction of ridges on implicit surfaces. Another promising application of the presented algorithms is modeling heterogeneous objects as implicit complexes.

Original languageEnglish
Pages (from-to)437-447
Number of pages11
JournalVisual Computer
Volume20
Issue number7
DOIs
Publication statusPublished - Sep 2004
Externally publishedYes

Keywords

  • Function representation
  • Geometric modeling
  • Implicit surfaces
  • Polygonization
  • Trimming

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