Projection of curves on B-spline surfaces using quadratic reparameterization

Yijun Yang, Wei Zeng, Hui Zhang, Junhai Yong, Jean Claude Paul

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)47-59
Number of pages13
JournalGraphical Models
Volume72
Issue number5
DOIs
StatePublished - Sep 2010

ASJC Scopus subject areas

  • Modeling and Simulation
  • Geometry and Topology
  • Computer Graphics and Computer-Aided Design
  • Software

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