|
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 Clifford algebra or geometric algebra. This is not an approach designed specifically for the task in hand, but rather a framework for almost all mathematical physics. Both object modelling and estimating camera motion from different scene projections have been heavily discussed in the literature, however the Clifford algebra based method allows a more elegant reformulation which provides greater geometrical insight. The hope is that one can then extend the scope of the techniques to more complicated problems. 1, |
