Length and curvature variation energy minimizing planar cubic G1 Hermite interpolation curve

被引：13
|
作者：
Li, Juncheng [1 ]
Zhang, Li [2 ]
机构：
[1] Hunan Univ Humanities Sci & Technol, Coll Math & Finance, Loudi 417000, Peoples R China
[2] Data Recovery Key Lab Sichuan Prov, Neijiang, Peoples R China
来源：
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2020年 / 14卷 / 01期
关键词：
Hermite interpolation curve; length; curvature variation energy; minimization; bi-objective optimization;
D O I：
10.1080/16583655.2019.1703248
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we study how to construct a planar cubic G(1) Hermite interpolation curve with minimal length and curvature variation energy. This problem is solved by a bi-objective optimization model. We prove that there is a unique solution to this problem and give the expression of the solution. Some numerical examples show that the proposed method makes the curvature variation energy of the curve as small as possible when the length of the curve as short as possible.
引用
收藏
页码：60 / 64
页数：5
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