Planar Cubic $G^1$ Hermite Interpolant with Minimal Quadratic Oscillation in Average

Authors

  • Juncheng Li College of Mathematics and Finance, Hunan University of Humanities, Science and Technology, Loudi, Hunan, 417000

DOI:

https://doi.org/10.13447/j.1674-5647.2019.03.03

Keywords:

cubic Hermite interpolant, free parameter optimization, shape-preserving interpolant

Abstract

In this paper we apply a new method to choose suitable free parameters of the planar cubic $G^1$ Hermite interpolant. The method provides the cubic $G^1$ Hermite interpolant with minimal quadratic oscillation in average. We can use the method to construct the optimal shape-preserving interpolant. Some numerical examples are presented to illustrate the effectiveness of the method. 

Downloads

Published

2019-12-16

Abstract View

  • 37789

Pdf View

  • 2731

Issue

Vol. 35 No. 3 (2019)

Section

Articles

How to Cite

Planar Cubic $G^1$ Hermite Interpolant with Minimal Quadratic Oscillation in Average. (2019). Communications in Mathematical Research, 35(3), 219-224. https://doi.org/10.13447/j.1674-5647.2019.03.03