Journal Published Online: 18 March 2020
Volume 49, Issue 4

Energy-Minimizing Cubic H-Bézier Curve

CODEN: JTEVAB

Abstract

In shape designing, a curve is required to pass smoothly through the given data set values. Minimum energy curves are usually known as smooth curves. The aim of this research article is to construct a G1-approximating curve with minimum energy. For this purpose, a cubic H-Bézier curve is considered for which the tangent directions are held to be unknowns. The optimal cubic H-Bézier curve is procured by minimizing the stretch energy, strain energy, and curvature variation energy by solving an optimization problem of two parameters relating to the magnitudes of endpoint tangent directions.

Author Information

Hussain, Maria
Department of Mathematics, Lahore College for Women University, Lahore, Pakistan
Zafar, Sana
Department of Mathematics, Lahore College for Women University, Lahore, Pakistan
Hussain, Malik Zawwar
Department of Mathematics, University of the Punjab, Lahore, Pakistan
Pages: 23
Price: $25.00
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Details
Stock #: JTE20190750
ISSN: 0090-3973
DOI: 10.1520/JTE20190750