Guaranteed intersection-free polygon morphing

Craig Gotsman, Vitaly Surazhsky

Research output: Contribution to journalArticlepeer-review

93 Scopus citations

Abstract

We present a method for naturally and continuously morphing two simple planar polygons with corresponding vertices in a manner that guarantees that the intermediate polygons are also simple. This contrasts with all existing polygon morphing schemes who cannot guarantee the non-self-intersection property on a global scale, due to the heuristics they employ. Our method achieves this property by reducing the polygon morphing problem to the problem of morphing compatible planar triangulations of corresponding point sets, which is performed by interpolating vertex barycentric coordinates instead of vertex locations. The reduction involves compatibly triangulating simple polygons and polygons with a single hole. We show how to achieve this using only a small number of extra (Steiner) vertices.

Original languageEnglish (US)
Pages (from-to)67-75
Number of pages9
JournalComputers and Graphics (Pergamon)
Volume25
Issue number1
DOIs
StatePublished - Feb 2001
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Engineering(all)
  • Human-Computer Interaction
  • Computer Graphics and Computer-Aided Design

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