inria-00201830, version 1

Approximate computation of curves on B-spline surfaces

Yi-Jun Yang ¹, Jun-Hai Yong ¹, Song Cao ^2, 3, Hui Zhang ¹, Jean-Claude Paul ^a, 1, Jia-Guang Sun ^1, 4, He-Jin Gu ⁵

Computer-Aided Design (2007)

• a –  INRIA
• 1:  CAD (CAD LIAMA INRIA Paris - Rocquencourt)
• http://liama.ia.ac.cn/
  Centre de coopération internationale en recherche agronomique pour le développement [CIRAD] – CNRS – Institut national de la recherche agronomique (INRA) – Chinese Academy of Science (CAS) – Institute of Automation, Chinese Academy of Sciences – INRIA Institut d'Automatique - Académie des Sciences de Chine PO Box 2728 - Beijing 100080 R. P. Chine Tél. : (+ 86 10) 62 64 74 59 Fax : (+ 86 10) 62 64 74 58 China
• 2:  Key Laboratory for Information System Security
• 
  ministry of education China
• 3:  Tsinghua University
• http://www.tsinghua.edu.cn/eng/index.jsp
  Tsinghua University Beijing,100084,P.R.CHINA China
• 4:  Purdue Research and Education Center for Information Systems in Engineering (PRECISE)
• 
  Purdue University United States
• 5:  Jiangxi Academy of Sciences
• 
  Nanchang China

Bibliographic reference

• Type of document: Articles in peer-reviewed journal
• Domain: Computer Science/Computer Aided Engineering
• Title: Approximate computation of curves on B-spline surfaces
• Abstract: Curves on surfacesnext term play an important role in computer-aided geometric design. Because of the considerably high degree of exact previous termcurves on surfaces,next term approximation algorithms are preferred in CAD systems. To previous termapproximatenext term the exact previous termcurvenext term with a reasonably low degree previous termcurvenext term which also lies completely on the previous termB-spline surface,next term an algorithm is presented in this paper. The Hausdorff distance between the previous termapproximate curvenext term and the exact previous termcurvenext term is controlled under the user-specified distance tolerance. The previous termapproximate curvenext term is εT–G1 continuous, where εT is the user-specified angle tolerance. Examples are given to show the performance of our algorithm.
• Full text language: English
• Journal title:

  Computer-Aided Design
  Publisher	Elsevier
  ISSN	0010-4485

• Publication date: 2007
• Audience: international
• Commercial editor: Elsevier
• DOI: 10.1016/j.cad.2007.10.011
• Keywords: Approximation – previous termB-spline – Curves on surfaces – Curvenext term approximations

• inria-00201830, version 1
• http://hal.inria.fr/inria-00201830
• oai:hal.inria.fr:inria-00201830
• From: Chine Publications Liama <>
• Submitted on: Thursday, 3 January 2008 11:34:37
• Updated on: Thursday, 3 January 2008 11:34:37