12 citations · 19 across the 4 of their papers we have counts for
5 papers
An algorithmic discrete gradient field for non-colliding cell-like objects and the topology of pairs of points on skeleta of simplexes
Emilio J. Gonzalez, Jesus Gonzalez
For a positive integer and a finite simplicial complex , we describe an algorithmic procedure constructing a maximal discrete gradient field on Abrams' discretized…
A randomized greedy algorithm for piecewise linear motion planning
Carlos Ortiz, Adriana Lara, Jesus Gonzalez +1
We describe and implement a randomized algorithm that inputs a polyhedron, thought of as the space of states of some automated guided vehicle , and outputs an explicit…
Multitasking collision-free motion planning algorithms in Euclidean spaces
Cesar A. Ipanaque Zapata, Jesus Gonzalez
We present optimal motion planning algorithms which can be used in designing practical systems controlling objects moving in Euclidean space without collisions. Our algorithms are…
Simplicial Complexity: piecewise linear motion planning in robotics
Jesús González
Using the notion of contiguity of simplicial maps, we adapt Farber's topological complexity to the realm of simplicial complexes. We show that, for a finite simplicial complex ,…
Sequential motion planning of non-colliding particles in Euclidean spaces
Jesus Gonzalez, Mark Grant
In terms of Rudyak's generalization of Farber's topological complexity of the path motion planning problem in robotics, we give a complete description of the topological instabilit…