SEQUENTIAL COLLISION-FREE OPTIMAL MOTION PLANNING ALGORITHMS IN PUNCTURED EUCLIDEAN SPACES

2020 ◽  
Vol 102 (3) ◽  
pp. 506-516
Author(s):  
CESAR A. IPANAQUE ZAPATA ◽  
JESÚS GONZÁLEZ
Keyword(s):  
Euclidean Space ◽  
Motion Planning ◽  
Euclidean Spaces ◽  
Optimal Motion ◽  
Topological Theory ◽  
Theory Of Motion ◽  
Optimal Motion Planning ◽  
Planning Algorithms

In robotics, a topological theory of motion planning was initiated by M. Farber. We present optimal motion planning algorithms which can be used in designing practical systems controlling objects moving in Euclidean space without collisions between them and avoiding obstacles. Furthermore, we present the multi-tasking version of the algorithms.

scholarly journals Multitasking collision-free optimal motion planning algorithms in Euclidean spaces

2020 ◽  
Vol 12 (03) ◽  
pp. 2050040
Author(s):  
Cesar A. Ipanaque Zapata ◽  
Jesús González
Keyword(s):  
Euclidean Space ◽  
Motion Planning ◽  
Moving Objects ◽  
General Context ◽  
Planning Problem ◽  
Euclidean Spaces ◽  
Optimal Motion ◽  
Optimal Motion Planning ◽  
Planning Algorithms ◽  
Motion Planning Problem

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 optimal in a very concrete sense, namely, they have the minimal possible number of local planners. Our algorithms are motivated by those presented by Mas-Ku and Torres-giese (as streamlined by Farber), and are developed within the more general context of the multitasking (a.k.a. higher) motion planning problem. In addition, an eventual implementation of our algorithms is expected to work more efficiently than previous ones when applied to systems with a large number of moving objects.

Optimal motion planning for localization of avalanche victims by multiple UAVs

2021 ◽  
pp. 1-1
Author(s):  
Camilla Tabasso ◽  
Nicola Mimmo ◽  
Venanzio Cichella ◽  
Lorenzo Marconi
Keyword(s):  
Motion Planning ◽  
Optimal Motion ◽  
Multiple Uavs ◽  
Optimal Motion Planning

Optimal motion planning and stopping test for 3-D object reconstruction

2018 ◽  
Vol 12 (1) ◽  
pp. 103-123 ◽  
Author(s):  
Heikel Yervilla-Herrera ◽  
J. Irving Vasquez-Gomez ◽  
Rafael Murrieta-Cid ◽  
Israel Becerra ◽  
L. Enrique Sucar
Keyword(s):  
Motion Planning ◽  
Object Reconstruction ◽  
Optimal Motion ◽  
Optimal Motion Planning

scholarly journals Optimal Motion Planning for Range-Based Marine Vehicle Positioning in the Presence of Unknown Currents

2016 ◽  
Vol 49 (23) ◽  
pp. 41-47 ◽  
Author(s):  
N. Crasta ◽  
D. Moreno-Salinas ◽  
M. Bayat ◽  
A.M. Pascoal ◽  
J. Aranda
Keyword(s):  
Motion Planning ◽  
Optimal Motion ◽  
Optimal Motion Planning ◽  
Vehicle Positioning ◽  
Marine Vehicle
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