Constructing 3D motions from curvature and torsion profiles

R J Cripps, Glen Mullineux

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

A means for constructing a free-form motion in three dimensions is given. A sparse sequence of prescribed poses is used to guide the motion, and some of these can also be specified to be precision poses through which the motion must pass. The resultant motion is given in a sequence of refined poses. Geometric algebra is used to specify these in a way that is analogous to the use of complex numbers in an equivalent approach for free-form curves.
Original languageEnglish
Pages (from-to)379-387
Number of pages9
JournalComputer-Aided Design
Volume44
Issue number5
DOIs
Publication statusPublished - May 2012

Keywords

  • free-form motion
  • point-based representation
  • geometric algebra
  • torsion
  • curvature
  • free-form curve

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