Smoothing Connected Ball Bézier Curves by Energy Minimization. (23rd August 2022)

• Record Type: Journal Article
• Authors: Li, Juncheng; Liu, Chengzhi
• Other Names: Guo Xianggui Academic Editor.
• Is Part Of: Complexity. Volume 2022(2022)
• Publication Date: 2022-08-23
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2022/7669483
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : In this paper, we aim at smoothing two connected ball Bézier curves from C r −1 to C r r ≥ 1 by minimizing the energies of the curves. We propose the algorithms based on internal energy minimization and curve attractor minimization. Then, we combine the internal energy and the curve attractor and give the algorithm based on combined energy minimization. All algorithms are established by solving bi-objective minimizations. Some numerical examples show that the proposed algorithms are effective, making them useful for smoothing 3D objects constructed by connected ball Bézier curves.