Role of moving planes and moving spheres following Dupin cyclides

Xiaohong Jia

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We provide explicit representations of three moving planes that form a μ-basis for a standard Dupin cyclide. We also show how to compute μ-bases for Dupin cyclides in general position and orientation from their implicit equations. In addition, we describe the role of moving planes and moving spheres in bridging between the implicit and rational parametric representations of these cyclides. © 2014 Elsevier B.V.
Original languageEnglish (US)
Pages (from-to)168-181
Number of pages14
JournalComputer Aided Geometric Design
Volume31
Issue number3-4
DOIs
StatePublished - Mar 2014

ASJC Scopus subject areas

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

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