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Can a Cubic Spline Curve Be G<sup>3</sup>

Can a Cubic Spline Curve Be G<sup>3</sup>

Year:    2021

Author:    Wujie Liu, Xin Li

Journal of Computational Mathematics, Vol. 39 (2021), Iss. 2 : pp. 178–191

Abstract

This paper proposes a method to construct an G3 cubic spline curve from any given open control polygon. For any two inner Bézier points on each edge of a control polygon, we can define each Bézier junction point such that the spline curve is G2-continuous. Then by suitably choosing the inner Bézier points, we can construct a global G3 spline curve. The curvature combs and curvature plots show the advantage of the G3 cubic spline curve in contrast with the traditional C2 cubic spline curve.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1910-m2019-0119

Journal of Computational Mathematics, Vol. 39 (2021), Iss. 2 : pp. 178–191

Published online:    2021-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Cubic Spline Geometric Continuity G3 Continuity.

Author Details

Wujie Liu Email

Xin Li Email

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