Vol.58, No.3, 2019, pp.879-892, doi:10.32604/cmc.2019.03752
OPEN ACCESS
ARTICLE
Efficient Construction of B-Spline Curves with Minimal Internal Energy
  • Gang Xu1,*, Yufan Zhu1, Lishan Deng1, Guozhao Wang2, Bojian Li1, Kin-chuen Hui3
School of Computer Science and Technology, Hangzhou Dianzi University, Hangzhou, Zhejiang, 310018, China.
Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang, 310018, China.
Department of Mechanical and Automation Engineering, Chinese University of Hong Kong, Hong Kong, 999077, China.
* Corresponding Author: Gang Xu. Email: .
Abstract
In this paper, we propose an efficient method to construct energy-minimizing B-spline curves by using discrete mask method. The linear relations between control points are firstly derived for different energy-minimization problems, then the construction of B-spline curve with minimal internal energy can be addressed by solving a sparse linear system. The existence and uniqueness of the solution for the linear system are also proved. Experimental results show the efficiency of the proposed approach, and its application in G1 blending curve construction is also presented.
Keywords
Minimal energy, B-spline curves, geometric construction, discrete mask method, sparse linear system.
Cite This Article
G. . Xu, Y. . Zhu, L. . Deng, G. . Wang, B. . Li et al., "Efficient construction of b-spline curves with minimal internal energy," Computers, Materials & Continua, vol. 58, no.3, pp. 879–892, 2019.
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