Collision-free motion planning on manifolds with boundary
Cesar A. Ipanaque Zapata
TL;DR
This paper investigates the topological structure of configuration spaces on manifolds with boundary and applies these insights to develop collision-free motion planning algorithms.
Contribution
It provides a new analysis of the homotopy type of configuration spaces on manifolds with boundary, advancing motion planning methods.
Findings
Characterization of the homotopy type of configuration spaces
Application to collision-free motion planning algorithms
Insights into topological properties affecting motion planning
Abstract
This paper concerns the study of the homotopy type of the ordered configuration space for manifolds with boundary and as an application we will study the collision free motion planning problem on manifolds with boundary.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology · Advanced Combinatorial Mathematics