Bézier Curve with a Minimal Jerk Energy

Year 2016, Volume: 4 Issue: 2, 139 - 148, 30.10.2016

Hale Erişkin Ahmet Yücesan

https://doi.org/10.36753/mathenot.421467

Cited By: 9

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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