Angle-constrained manipulation for cubic B-spline with cusp and its applications

Chia Lien Hung, Jing Jing Fang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

An efficient algorithm for generating cusped B-spline curves and cusped-edge B-spline surfaces with a specific angle constraint at the cusp is presented. The proposed method is based on the multiplicity property of knots. A required point of the original B-spline curve (boundary) is transformed from C2 into G2 continuity. The angle constraints are satisfied by modifying the control points. The cusped edge is presented on the original surface without trimming. Thus, the method offers a direct way of designing surfaces which can be applied in computer-aided design tools. A specific angle is given to control the sharpness of the cusp in a B-spline curve (boundary). This approach is widely applicable to general B-spline surfaces.

Original languageEnglish
Title of host publication2011 2nd International Conference on Artificial Intelligence, Management Science and Electronic Commerce, AIMSEC 2011 - Proceedings
Pages5443-5446
Number of pages4
DOIs
Publication statusPublished - 2011 Oct 3
Event2011 2nd International Conference on Artificial Intelligence, Management Science and Electronic Commerce, AIMSEC 2011 - Zhengzhou, China
Duration: 2011 Aug 82011 Aug 10

Publication series

Name2011 2nd International Conference on Artificial Intelligence, Management Science and Electronic Commerce, AIMSEC 2011 - Proceedings

Other

Other2011 2nd International Conference on Artificial Intelligence, Management Science and Electronic Commerce, AIMSEC 2011
CountryChina
CityZhengzhou
Period11-08-0811-08-10

All Science Journal Classification (ASJC) codes

  • Accounting
  • Artificial Intelligence
  • Finance

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    Hung, C. L., & Fang, J. J. (2011). Angle-constrained manipulation for cubic B-spline with cusp and its applications. In 2011 2nd International Conference on Artificial Intelligence, Management Science and Electronic Commerce, AIMSEC 2011 - Proceedings (pp. 5443-5446). [6010007] (2011 2nd International Conference on Artificial Intelligence, Management Science and Electronic Commerce, AIMSEC 2011 - Proceedings). https://doi.org/10.1109/AIMSEC.2011.6010007