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dc.contributor.authorYang, Yijun
dc.contributor.authorZeng, Wei
dc.contributor.authorZhang, Hui
dc.contributor.authorYong, Junhai
dc.contributor.authorPaul, Jean Claude
dc.date.accessioned2015-08-02T09:13:41Z
dc.date.available2015-08-02T09:13:41Z
dc.date.issued2010-09
dc.identifier.issn15240703
dc.identifier.doi10.1016/j.gmod.2010.08.001
dc.identifier.urihttp://hdl.handle.net/10754/561536
dc.description.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.
dc.description.sponsorshipThe 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)
dc.publisherElsevier BV
dc.subjectApproximation
dc.subjectCurves on surfaces
dc.subjectQuadratic reparameterization
dc.titleProjection of curves on B-spline surfaces using quadratic reparameterization
dc.typeArticle
dc.contributor.departmentVisual Computing Center (VCC)
dc.identifier.journalGraphical Models
dc.contributor.institutionINRIA, Villers Les Nancy 54600, France
dc.contributor.institutionComputer Science Department, Stony Brook University, Stony Brook, NY 11790, United States
dc.contributor.institutionSchool of Software, Tsinghua University, Beijing 100084, China
kaust.personYang, Yijun


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