Projection of curves on B-spline surfaces using quadratic reparameterization

Handle URI:
http://hdl.handle.net/10754/561536
Title:
Projection of curves on B-spline surfaces using quadratic reparameterization
Authors:
Yang, Yijun; Zeng, Wei; Zhang, Hui; Yong, Junhai; Paul, Jean Claude
Abstract:
Curves 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.
KAUST Department:
Visual Computing Center (VCC)
Publisher:
Elsevier
Journal:
Graphical Models
Issue Date:
Sep-2010
DOI:
10.1016/j.gmod.2010.08.001
Type:
Article
ISSN:
15240703
Sponsors:
The 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)
Appears in Collections:
Articles; Visual Computing Center (VCC)

Full metadata record

DC FieldValue Language
dc.contributor.authorYang, Yijunen
dc.contributor.authorZeng, Weien
dc.contributor.authorZhang, Huien
dc.contributor.authorYong, Junhaien
dc.contributor.authorPaul, Jean Claudeen
dc.date.accessioned2015-08-02T09:13:41Zen
dc.date.available2015-08-02T09:13:41Zen
dc.date.issued2010-09en
dc.identifier.issn15240703en
dc.identifier.doi10.1016/j.gmod.2010.08.001en
dc.identifier.urihttp://hdl.handle.net/10754/561536en
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.en
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)en
dc.publisherElsevieren
dc.subjectApproximationen
dc.subjectCurves on surfacesen
dc.subjectQuadratic reparameterizationen
dc.titleProjection of curves on B-spline surfaces using quadratic reparameterizationen
dc.typeArticleen
dc.contributor.departmentVisual Computing Center (VCC)en
dc.identifier.journalGraphical Modelsen
dc.contributor.institutionINRIA, Villers Les Nancy 54600, Franceen
dc.contributor.institutionComputer Science Department, Stony Brook University, Stony Brook, NY 11790, United Statesen
dc.contributor.institutionSchool of Software, Tsinghua University, Beijing 100084, Chinaen
kaust.authorYang, Yijunen
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