Rigid Body Motion and Conformal Geometric Algebra

Written by Anthony Lasenby et al. (external)

Anthony Lasenby, Chris Doran, Robert Lasenby

Cambridge University, United Kingdom

Invited talk in English
GraVisMa 2009
September 4, 2009 at 11:00
University of West Bohemia

Abstract

(download in PDF)

The conformal geometric algebra provides a way of unifying translations and rotations of rigid bodies into a simple unified scheme. This paper discusses the way to represent forces, moments and impulses within this approach, and the proper formulation of conservation laws and 2-body collisions. Ways of efficiently implementing the algorithms numerically are also discussed.