Year: 2017
Author: Juncheng Li, Chengzhi Liu
Communications in Mathematical Research , Vol. 33 (2017), Iss. 3 : pp. 193–204
Abstract
In order to relieve the deficiency of the usual cubic Hermite spline curves, the quartic Hermite spline curves with shape parameters is further studied in this work. The interpolation error and estimator of the quartic Hermite spline curves are given. And the characteristics of the quartic Hermite spline curves are discussed. The quartic Hermite spline curves not only have the same interpolation and continuity properties of the usual cubic Hermite spline curves, but also can achieve local or global shape adjustment and $C^2$ continuity by the shape parameters when the interpolation conditions are fixed.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2017.03.01
Communications in Mathematical Research , Vol. 33 (2017), Iss. 3 : pp. 193–204
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Hermite spline curve interpolation curve shape adjustment $C^2$ continuous