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 Contributor : Thss TsinghuaConnect in order to contact the contributor Submitted on : Friday, September 17, 2010 - 3:32:58 AM Last modification on : Friday, February 4, 2022 - 3:12:56 AM Long-term archiving on: : Friday, December 2, 2016 - 8:42:21 AM