Journal Published Online: 05 February 2020
Volume 48, Issue 3

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

CODEN: JTEVAB

Abstract

A method for constructing shape-reserving planar C1 quadratic Bézier interpolation spline by minimizing the stretch energy is proposed in this paper. Because the C1 quadratic Bézier 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 C1 quadratic Bézier interpolation spline constructed by the proposed method is shape preserving. Some numerical examples show that the proposed method has good effect.

Author Information

Li, Juncheng
College of Mathematics and Finance, Hunan University of Humanities, Science and Technology, Loudi, China
Liu, Chengzhi
College of Mathematics and Finance, Hunan University of Humanities, Science and Technology, Loudi, China
Zhang, Li
Data Recovery Key Laboratory of Sichuan Province, Neijiang, China
Pages: 9
Price: $25.00
Related
Reprints and Permissions
Reprints and copyright permissions can be requested through the
Copyright Clearance Center
Details
Stock #: JTE20190809
ISSN: 0090-3973
DOI: 10.1520/JTE20190809