Differential geometry of intersection curves of two surfaces

Xiuzi Ye, Takashi Maekawa

Research output: Contribution to journalArticlepeer-review

58 Citations (Scopus)


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
Issue number8
Publication statusPublished - 1999 Sept
Externally publishedYes

ASJC Scopus subject areas

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


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