Projection of curves on B-spline surfaces using quadratic reparameterization
KAUST DepartmentVisual Computing Center (VCC)
Permanent link to this recordhttp://hdl.handle.net/10754/561536
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AbstractCurves on surfaces play an important role in computer aided geometric design. In this paper, we present a hyperbola approximation method based on the quadratic reparameterization of Bézier surfaces, which generates reasonable low degree curves lying completely on the surfaces by using iso-parameter curves of the reparameterized surfaces. The Hausdorff distance between the projected curve and the original curve is controlled under the user-specified distance tolerance. The projected curve is T-G 1 continuous, where T is the user-specified angle tolerance. Examples are given to show the performance of our algorithm. © 2010 Elsevier Inc. All rights reserved.
SponsorsThe research was supported by Chinese 973 Program (2010CB328001) and the National Science Foundation of China (60625202) The fourth author was supported by ANR-NSFC (60911130368) and the Fok Ying Tung Education Foundation (111070)