Surface to Surface Intersections

N. M. Patrikalakis, Takashi Maekawa, K. H. Ko, H. Mukundan

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

This paper presents an overview of surface intersection problems and focuses on the rational polynomial parametric/rational polynomial parametric surface intersection case including transversal and tangential intersections. Emphasis is placed on marching methods with a discussion of the problems with conventional tracing algorithms. An approach using a validated interval ordinary differential equation system solver is outlined and illustrated with examples, which offers significant advantages in robustness over conventional marching schemes.

Original languageEnglish
Pages (from-to)449-457
Number of pages9
JournalComputer-Aided Design and Applications
Volume1
Issue number1-4
DOIs
Publication statusPublished - 2004 Jan 1
Externally publishedYes

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Keywords

  • Boundary representation
  • Parametric surfaces
  • Rounded interval arithmetic
  • Singularity
  • Tangency

ASJC Scopus subject areas

  • Computational Mechanics
  • Computer Graphics and Computer-Aided Design
  • Computational Mathematics

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