Related publications (15)

Reactive collision-free motion generation in joint space via dynamical systems and sampling-based MPC

Aude Billard, Mikhail Koptev, Nadia Barbara Figueroa Fernandez

Dynamical system (DS) based motion planning offers collision-free motion, with closed-loop reactivity thanks to their analytical expression. It ensures that obstacles are not penetrated by reshaping a nominal DS through matrix modulation, which is construc ...
Sage Publications Ltd2024

Nested Convex Bodies are Chaseable

Marek Elias

In the Convex Body Chasing problem, we are given an initial point v0. Rd and an online sequence of n convex bodies F1,..., Fn. When we receive Ft, we are required to move inside Ft. Our goal is to minimize the total distance traveled. This fundamental onli ...
SPRINGER2019

Unsplittable Coverings in the Plane

János Pach

A system of sets forms an m-fold covering of a set X if every point of X belongs to at least m of its members. A 1-fold covering is called a covering. The problem of splitting multiple coverings into several coverings was motivated by classical density est ...
Springer-Verlag Berlin2016

Unsplittable coverings in the plane

János Pach

A system of sets forms an m-fold covering of a set X if every point of X belongs to at least m of its members. A 1-fold covering is called a covering. The problem of splitting multiple coverings into several coverings was motivated by classical density est ...
Academic Press Inc Elsevier Science2016

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