Technology of Graphic & Image
|
1275-1280

Energy optimization of Bézier curves with shape parameter

Yan Lanlan
Fan Jiqiu
Li Shuiping
College of Science, East China University of Technology, Nanchang 330013, China

Abstract

Compared with the classical Bézier curves, the Bézier curves with shape parameter provide the shape adjustment freedom which independent of the control points. However, the introduction of shape parameter increases the workload of designers for choosing shape parameters. In view of this, this paper mainly discussed the selection of shape parameter. Firstly, it proved that the extended basis of Bernstein basis functions with parameter presented in the existing literature was totally positive basis. It guaranteed the theory value of the corresponding Bézier curves with shape parameter. Then it used the energy minimization method to determine the shape parameter of the curves. It deduced the calculation formula of the shape parameter which made the stretch energy, strain energy and jerk energy of the curves approximate minimum. The formula was convenient for the application of the curves.

Foundation Support

国家自然科学基金资助项目(11261003,11761008)
江西省自然科学基金资助项目(20161BAB211028)
江西省教育厅科技项目(GJJ160558)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2017.10.1018
Publish at: Application Research of Computers Printed Article, Vol. 36, 2019 No. 4
Section: Technology of Graphic & Image
Pages: 1275-1280
Serial Number: 1001-3695(2019)04-070-1275-06

Publish History

[2019-04-05] Printed Article

Cite This Article

严兰兰, 樊继秋, 李水平. 带形状参数的Bézier曲线的能量优化 [J]. 计算机应用研究, 2019, 36 (4): 1275-1280. (Yan Lanlan, Fan Jiqiu, Li Shuiping. Energy optimization of Bézier curves with shape parameter [J]. Application Research of Computers, 2019, 36 (4): 1275-1280. )

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  • Application Research of Computers Monthly Journal
  • Journal ID ISSN 1001-3695
    CN  51-1196/TP

Application Research of Computers, founded in 1984, is an academic journal of computing technology sponsored by Sichuan Institute of Computer Sciences under the Science and Technology Department of Sichuan Province.

Aiming at the urgently needed cutting-edge technology in this discipline, Application Research of Computers reflects the mainstream technology, hot technology and the latest development trend of computer application research at home and abroad in a timely manner. The main contents of the journal include high-level academic papers in this discipline, the latest scientific research results and major application results. The contents of the columns involve new theories of computer discipline, basic computer theory, algorithm theory research, algorithm design and analysis, blockchain technology, system software and software engineering technology, pattern recognition and artificial intelligence, architecture, advanced computing, parallel processing, database technology, computer network and communication technology, information security technology, computer image graphics and its latest hot application technology.

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