Differential geometry of intersection curves of two surfaces

Xiuzi Ye, Takashi Maekawa

Research output: Contribution to journalArticle

46 Citations (Scopus)

Abstract

We present algorithms for computing the differential geometry properties of intersection curves of two surfaces where the combination of two surfaces can be parametric-parametric, implicit-implicit and parametric-implicit. We derive unit tangent vector, curvature vector, binormal vector, curvature, torsion, and algorithms to evaluate the higher-order derivatives for transversal as well as tangential intersections for all three types of intersection problems.

Original languageEnglish
Pages (from-to)767-788
Number of pages22
JournalComputer Aided Geometric Design
Volume16
Issue number8
DOIs
Publication statusPublished - 1999 Sep

ASJC Scopus subject areas

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

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