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Pose changes from a different point of view

Chirikjian, Gregory S.; Mahony, Robert; Ruan, Sipu; Trumpf, Jochen

Description

For more than a century, rigid-body displacements have been viewed as affine transformations described as homogeneous transformation matrices wherein the linear part is a rotation matrix. In group-theoretic terms, this classical description makes rigid-body motions a semidirect product. The distinction between a rigid-body displacement of Euclidean space and a change in pose from one reference frame to another is usually not articulated well in the literature. Here, we show that, remarkably,...[Show more]

CollectionsANU Research Publications
Date published: 2018-02-27
Type: Journal article
URI: http://hdl.handle.net/1885/199597
Source: Journal of Mechanisms and Robotics
DOI: 10.1115/1.4039121

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