Projection of curves on B-spline surfaces using quadratic reparameterization
KAUST DepartmentVisual Computing Center (VCC)
MetadataShow full item record
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)