Surface/surface intersection

R. E. Barnhill, G. Farin, M. Jordan, B. R. Piper

Research output: Contribution to journalArticle

119 Scopus citations

Abstract

Finding the intersection of two surfaces is important for many Computer Aided Design tasks concerned with surface modeling. An adaptive algorithm is developed for finding the intersection curve(s) of pairs of rectangular parametric patches which are continuously differentiable. The balance between robustness and efficiency of the algorithm is controlled by a set of tolerances. A suite of examples concludes the paper.

Original languageEnglish (US)
Pages (from-to)3-16
Number of pages14
JournalComputer Aided Geometric Design
Volume4
Issue number1-2
DOIs
StatePublished - Jul 1987

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Keywords

  • Surfaces
  • geometry
  • intersection
  • parametric patches

ASJC Scopus subject areas

  • Modeling and Simulation
  • Automotive Engineering
  • Aerospace Engineering
  • Computer Graphics and Computer-Aided Design

Cite this

Barnhill, R. E., Farin, G., Jordan, M., & Piper, B. R. (1987). Surface/surface intersection. Computer Aided Geometric Design, 4(1-2), 3-16. https://doi.org/10.1016/0167-8396(87)90020-3