Surface to Surface Intersections

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

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


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
Issue number1-4
Publication statusPublished - 2004
Externally publishedYes


  • 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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