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Computer-Aided Design With Spatial Rational B-Spline Motions

Using rational motions it is possible to apply many fundamental B-spline techniques to the design of motions. The present paper summarizes the basic theory of rational motions and introduces a linear control structure for piecewise rational motions suitable for geometry processing. Moreover it provi...

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Published in:	Journal of mechanical design (1990) 1996-06, Vol.118 (2), p.193-201
Main Authors:	Ju¨ttler, B, Wagner, M. G
Format:	Article
Language:	English
Subjects:	Algorithms Animation Applied sciences Artificial intelligence Computational geometry Computer aided design Computer science control theory systems Constraint theory Exact sciences and technology Interpolation Kinematics Mathematical transformations Matrix algebra Optimization Pattern recognition. Digital image processing. Computational geometry Robotics Software Tensors Vectors
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description	Using rational motions it is possible to apply many fundamental B-spline techniques to the design of motions. The present paper summarizes the basic theory of rational motions and introduces a linear control structure for piecewise rational motions suitable for geometry processing. Moreover it provides algorithms for the calculation of the surface which is swept out by a moving polyhedron and examines interpolation techniques. The methods presented in this paper can be applied to various problems in computer animation as well as in robotics.
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source	ASME Transactions Journals (Archives)
subjects	Algorithms Animation Applied sciences Artificial intelligence Computational geometry Computer aided design Computer science control theory systems Constraint theory Exact sciences and technology Interpolation Kinematics Mathematical transformations Matrix algebra Optimization Pattern recognition. Digital image processing. Computational geometry Robotics Software Tensors Vectors
title	Computer-Aided Design With Spatial Rational B-Spline Motions
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