Projectively invariant classes of geometric continuity for CAGD

Helmut Pottmann*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

A new classification of geometric continuity is presented. It is based on the simultaneous application of the concept of 'contact of order r" to curves (or surfaces) and to their tangent surfaces and generalized tangent surfaces; this implies projective invariance. The developments are illustrated by algorithms for geometrically continuous Bézier curves. Moreover, we obtain new properties of certain splines derived by variational formulations.

Original languageEnglish (US)
Pages (from-to)307-321
Number of pages15
JournalComputer Aided Geometric Design
Volume6
Issue number4
DOIs
StatePublished - Jan 1 1989

Keywords

  • Bézier curves
  • Geometric continuity
  • projective invariance
  • splines

ASJC Scopus subject areas

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

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