Constructing 3D motions from curvature and torsion profiles

Authors:
R. J. Cripps;G. Mullineux
Affiliations:
Department of Mechanical Engineering, University of Birmingham, Birmingham B15 2TT, UK;Department of Mechanical Engineering, University of Bath, Bath BA2 7AY, UK
Venue:
Computer-Aided Design
Year:
2012

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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.