Curve and Surface Construction Using Hermite Trigonometric Interpolant

Author:

Oumellal Fatima,Lamnii AbdellahORCID

Abstract

In this paper, the constructions of both open and closed trigonometric Hermite interpolation curves while using the derivatives are presented. The combination of tension, continuity, and bias control is used as a very powerful type of interpolation; they are applied to open and closed Hermite interpolation curves. Surface construction utilizing the studied trigonometric Hermite interpolation is explored and several examples obtained by the C1 trigonometric Hermite interpolation surface are given to show the usefulness of this method.

Publisher

MDPI AG

Subject

Applied Mathematics,Computational Mathematics,General Engineering

Reference16 articles.

1. A class of local interpolating splines;Catmull,1974

2. Interpolating splines with local tension, continuity, and bias control

3. Connected Minimal Acceleration Trigonometric Curveshttps://ep.liu.se/ecp/016/001/ecp01601.pdf

4. Piecewise trigonometric Hermite interpolation

5. Rational Interpolants with Tension Parameters;Casciola,2003

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A barycentric trigonometric Hermite interpolant via an iterative approach;Journal of Computational and Applied Mathematics;2024-03

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