Approximation of developable surfaces with cone spline surfaces

Stefan Leopoldseder*, Helmut Pottmann

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

42 Scopus citations

Abstract

Developable surfaces are modelled with pieces of right circular cones. These cone spline surfaces are well suited for applications: they possess degree two parametric and implicit representations. Bending sequences and the development can be explicitly computed and the offsets are of the same type. The algorithms are based on elementary analytic and constructive geometry. There appear to be interesting relations to planar and spherical arc splines.

Original languageEnglish (US)
Pages (from-to)571-582
Number of pages12
JournalCAD Computer Aided Design
Volume30
Issue number7
DOIs
StatePublished - Jan 1 1998

Keywords

  • Arc spline
  • Circular spline
  • Developable surface
  • NURBS
  • Rational Bézier representation

ASJC Scopus subject areas

  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Industrial and Manufacturing Engineering

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