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Computer-Aided Design and Applications (ISSN 1686-4360) is an independent, international peer-reviewed technical journal dedicated to the applications of computer-aided design and manufacturing.
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Volume 6 Number 1 Pages 1-13
A Computational Geometric Solution of the Kinematic Registration Problem Using the Bisecting Linear Line Complex
Jasem Baroon, Kuwait University
Bahram Ravani, University of California
Abstract. This paper presents a computational geometric solution to the kinematic registration problem using computational line geometry. Kinematic registration involves computation of the screw parameters of a motion from specified positions of geometric features of the moving body. The problem is formulated using a special complex of lines associated with kinematics namely the bisecting linear line complex. In this fashion the problem is reduced to an approximation problem in the line space and a slightly modified version of the line approximation method developed by Pottmann, Peternell, and Ravani (1999) is used to find the solution.
Keywords: computational line geometry, registration, linear line complex.
DOI: 10.3722/cadaps.2009.1-13
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