Distances between oriented curves in geometric modeling |
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| Authors: | Przemyslaw Bogacki Stanley Weinstein Yuesheng Xu |
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| Affiliation: | (1) Department of Mathematics and Statistics, Old Dominion University, Norfolk, VA 23529, USA;(2) Department of Mathematics, North Dakota State University, Fargo, ND 58105, USA |
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| Abstract: | We consider the choice of a functional to measure the distance between two parametric curves. We identify properties of such a distance functional that are important for geometric design. Several popular definitions of distance are examined, and new functionals are presented which satisfy the desired properties. This revised version was published online in August 2006 with corrections to the Cover Date. |
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