Year: 2019
Author: Juncheng Li
Communications in Mathematical Research , Vol. 35 (2019), Iss. 3 : pp. 219–224
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2019.03.03
Communications in Mathematical Research , Vol. 35 (2019), Iss. 3 : pp. 219–224
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 6
Keywords: cubic Hermite interpolant free parameter optimization shape-preserving interpolant