Bézier Curve with a Minimal Jerk Energy

Authors : Hale ERİŞKİN, Ahmet YÜCESAN

Pages : 139-148

Doi:10.36753/mathenot.421467

View : 19 | Download : 10

Publication Date : 2016-10-30

Article Type : Research Paper

Abstract :We provide a method in order to determine a Bézier curve with a minimal jerk energy by means of associated matrices. By way of an application, we show that the unknown control points of the Bézier curve having a minimal jerk energy can be written as a linear combination of the known control points. Furthermore, for such a Bézier curve we obtain a general form of its matrix represention.
Keywords : Bézier curve, minimal jerk energy, control points

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