Approximation algorithms for developable surfaces

Helmut Pottmann, Johannes Wallner

Research output: Contribution to journalArticlepeer-review

119 Scopus citations

Abstract

By its dual representation, a developable surface can be viewed as a curve of dual projective 3-space. After introducing an appropriate metric in the dual space and restricting ourselves to special parametrizations of the surfaces involved, we derive linear approximation algorithms for developable NURBS surfaces, including multiscale approximations. Special attention is paid to controlling the curve of regression.

Original languageEnglish (US)
Pages (from-to)539-556
Number of pages18
JournalComputer Aided Geometric Design
Volume16
Issue number6
DOIs
StatePublished - Jan 1 1999

ASJC Scopus subject areas

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

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