Year: 2021
Journal of Computational Mathematics, Vol. 39 (2021), Iss. 2 : pp. 178–191
Abstract
This paper proposes a method to construct an $G^3$ 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 $G^2$-continuous. Then by suitably choosing the inner Bézier points, we can construct a global $G^3$ spline curve. The curvature combs and curvature plots show the advantage of the $G^3$ cubic spline curve in contrast with the traditional $C^2$ 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 $G^3$ Continuity.
Author Details
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