4 citations · 12 across the 13 of their papers we have counts for
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math.OC2019★ 2 cited
The Affine Geometric Heat Flow and Motion Planning for Dynamic Systems
Shenyu Liu, Yinai Fan, Mohamed Ali Belabbas
We present a new method for motion planning for control systems. The method aims to provide a natural computational framework in which a broad class of motion planning problems can…
math.OC2019★ 4 cited
A Homotopy Method for Motion Planning
Shenyu Liu, Mohamed Ali Belabbas
We propose a novel method for motion planning and illustrate its implementation on several canonical examples. The core novel idea underlying the method is to define a metric for w…