Abstract : Curves on surfaces play an important role in computer-aided geometric design. Because of the considerably high degree of exact curves on surfaces, approximation algorithms are preferred in CAD systems. To approximate the exact curve with a reasonably low degree curve which also lies completely on the B-spline surface, an algorithm is presented in this paper. The Hausdorff distance between the approximate curve and the exact curve is controlled under the user-specified distance tolerance. The approximate curve is ɛT –G1 continuous, where ɛT is the user-specified angle tolerance. Examples are given to show the performance of our algorithm.
https://hal.inria.fr/inria-00518325
Contributeur : Thss Tsinghua
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Soumis le : vendredi 17 septembre 2010 - 03:32:58
Dernière modification le : jeudi 11 janvier 2018 - 06:21:19
Document(s) archivé(s) le : vendredi 2 décembre 2016 - 08:42:21
