Intrinsic subdivision with smooth limits for graphics and animation

Johannes Wallner*, Helmut Pottmann

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

This article demonstrates the definition of subdivision processes in nonlinear geometries such that smoothness of limits can be proved. We deal with curve subdivision in the presence of obstacles, in surfaces, in Riemannian manifolds, and in the Euclidean motion group. We show how to model kinematic surfaces and motions in the presence of obstacles via subdivision. As to numerics, we consider the sensitivity of the limit's smoothness to sloppy computing.

Original languageEnglish (US)
Pages (from-to)356-374
Number of pages19
JournalACM Transactions on Graphics
Volume25
Issue number2
DOIs
StatePublished - Apr 1 2006

Keywords

  • Computing in nonlinear geometries
  • Geodesic subdivision
  • Motion design
  • Nonlinear subdivision
  • Obstacles
  • Smoothness
  • Subdivision in surfaces

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design

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