An exploration of orientation representation by Lie algebra for robotic applications

Abstract

A number of conventional methods for orientation representation are reviewed and discussed. An analysis based on Lie algebra for exploring possible definitions of three-dimensional (3D) orientation vectors and for unifying representations of position and orientation is presented. The associated computation methods are developed and verified by application to the six-axis Puma 560 robot.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>