Advanced search
Publication Cover
Progress in Natural Science Volume 15, 2005 - Issue 9
Journal homepage
4
Views
18
CrossRef citations to date
0
Altmetric
Research Paper

Constrained Bézier curves' best multi-degree reduction in the L2-norm

Zhang Renjiang Institute of computer Images and Graphics, Zhejiang University, Hangzhou, 310027, China; State Key Laboratory of CAD&CG, Zhejiang University, Hangzhou, 310027, China; China Institute of Metrology, Zhejiang, Hangzhou, 310034, China
&
Wang Guojin Institute of computer Images and Graphics, Zhejiang University, Hangzhou, 310027, China; State Key Laboratory of CAD&CG, Zhejiang University, Hangzhou, 310027, ChinaCorrespondence[email protected]
Pages 843-850 | Received 06 Dec 2004, Published online: 03 Dec 2010

Citations (18)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (1)

Renjiang Zhang, Guojin Wang & Weiyin Ma. (2007) Best Multi-degree Reduction of Bernstein Polynomial in L2 -norm Based on an Explicit Termination Criterion. Computer-Aided Design and Applications 4:1-4, pages 181-190.
Read now

Articles from other publishers (17)

Gang Hu, Wenlong Jing & Essam H. Houssein. (2023) Elite-based feedback boosted artificial rabbits-inspired optimizer with mutation and adaptive group: a case study of degree reduction for ball NURBS curves. Soft Computing.
Crossref
Yan-hong Liu, Juan Cao, Zhong-gui Chen & Xiao-ming Zeng. (2016) Ray-triangular Bézier patch intersection using hybrid clipping algorithm. Frontiers of Information Technology & Electronic Engineering 17:10, pages 1018-1030.
Crossref
He Li, Lei Liu, Wei Huang & Chao Yue. (2016) An improved fusion algorithm for infrared and visible images based on multi-scale transform. Infrared Physics & Technology 74, pages 28-37.
Crossref
Lian Zhou, Yongwei Wei & Yufeng Yao. (2014) Optimal multi-degree reduction of Bézier curves with geometric constraints. Computer-Aided Design 49, pages 18-27.
Crossref
Cai Huahui & Liu Bingxiang. (2013) Good Degree Reduction of Rational Bezie Curves in L=Norm. Good Degree Reduction of Rational Bezie Curves in L=Norm.
Qi Lou & Ligang Liu. (2012) Curve intersection using hybrid clipping. Computers & Graphics 36:5, pages 309-320.
Crossref
Wei-Xian Huang, Cong-Jian Jin & Guo-Jin Wang. (2011) Approximate B?zier curves by cubic LN curves. Applied Mathematics and Computation 218:7, pages 3083-3092.
Crossref
Xiao-Diao Chen, Weiyin Ma & Jean-Claude Paul. (2011) Multi-degree reduction of B?zier curves using reparameterization. Computer-Aided Design 43:2, pages 161-169.
Crossref
Jun Chen & Guo-jin Wang. (2010) Approximate merging of B-spline curves and surfaces. Applied Mathematics-A Journal of Chinese Universities 25:4, pages 429-436.
Crossref
Gang LIU & Guo-Jin WANG. (2010) Explicit Multi-Degree Reduction of Said-Bézier Generalized Ball Curves. Journal of Software 21:6, pages 1473-1479.
Crossref
Lian Zhou & Guojin Wang. (2010) Matrix Representation for Optimal Multi-degree Reduction of B?zier Curves with <I>G</I><SUB>1</SUB> Constraints. Journal of Computer-Aided Design & Computer Graphics 22:4, pages 735-740.
Crossref
Lian Zhou & Guo-jin Wang. (2009) Constrained multi-degree reduction of triangular Bézier surfaces. Applied Mathematics-A Journal of Chinese Universities 24:4, pages 417-430.
Crossref
Lian Zhou & Guo-jin Wang. (2009) Optimal constrained multi-degree reduction of B?zier curves with explicit expressions based on divide and conquer. Journal of Zhejiang University-SCIENCE A 10:4, pages 577-582.
Crossref
Lian Zhou & Guo-Jin Wang. (2009) Constrained multi-degree reduction of Bézier surfaces using Jacobi polynomials. Computer Aided Geometric Design 26:3, pages 259-270.
Crossref
Min Cheng & Guojin Wang. (2008) Approximate merging of multiple B?zier segments. Progress in Natural Science 18:6, pages 757-762.
Crossref
QianQian Hu & GuoJin Wang. (2008) A novel algorithm for explicit optimal multi-degree reduction of triangular surfaces. Science in China Series F: Information Sciences 51:1, pages 13-24.
Crossref
Hong-jie Cai & Guo-jin Wang. (2007) Constrained multi-degree reduction of rational B?zier curves using reparameterization. Journal of Zhejiang University-SCIENCE A 8:10, pages 1650-1656.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.