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Journal Articles Computer-Aided Design Year : 2008

Approximate computation of curves on B-spline surfaces


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.
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inria-00518325 , version 1 (17-09-2010)



Yi-Jun Yang, Song Cao, Jun-Hai Yong, Hui Zhang, Jean-Claude Paul, et al.. Approximate computation of curves on B-spline surfaces. Computer-Aided Design, 2008, 40 (2), pp.223-234. ⟨10.1016/j.cad.2007.10.011⟩. ⟨inria-00518325⟩
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