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Object modelling and motion analysis using Clifford algebra

, and . Proceedings of Europe-China Workshop on Geometric Modeling and Invariants for Computer Vision, Ed. Roger Mohr and Wu Chengke, page 143--149. (1995)

Abstract

collision detection, motion analysis. This paper discusses a coordinate-free geometric approach to object modelling and the analysis of motion in computer vision. The new technique used to analyse the 3-dimensional transformations involved will be that of Cliord algebra or geometric algebra. This is not an approach designed specically for the task in hand, but rather a framework for almost all mathematical physics. Both object modelling and estimating camera motion from dif-ferent scene projections have been heavily discussed in the literature, however the Cliord algebra based method allows a more elegant reformulation which provides greater geomet-rical insight. The hope is that one can then extend the scope of the techniques to more complicated problems. 1

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