Shape-Preserving Planar Quadratic Bezier Interpolation Spline with Minimal Stretch Energy

被引：2

作者：

Li, Juncheng ^{[1
]}

Liu, Chengzhi ^{[1
]}

Zhang, Li ^{[2
]}

机构：

[1] Hunan Univ Humanities Sci & Technol, Coll Math & Finance, Dixing Rd 487, Loudi 417000, Peoples R China

[2] Data Recovery Key Lab Sichuan Prov, Dongtong Rd 705, Neijiang 641110, Peoples R China

来源：

JOURNAL OF TESTING AND EVALUATION | 2020年 / 48卷 / 03期

关键词：

quadratic Bezier curve; interpolation spline; stretch energy minimization; shape-preserving interpolation; CURVATURE VARIATION; HERMITE INTERPOLATION; CURVES; FAIR;

D O I：

10.1520/JTE20190809

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

A method for constructing shape-reserving planar C-1 quadratic Bezier interpolation spline by minimizing the stretch energy is proposed in this paper. Because the C-1 quadratic Bezier interpolation spline can be determined only by the second control point of the first interpolation curve, we give the method for determining the second control point of the first interpolation curve by minimizing the stretch energy. We prove that the C-1 quadratic Bezier interpolation spline constructed by the proposed method is shape preserving. Some numerical examples show that the proposed method has good effect.

引用

页码：2432 / 2440

页数：9

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