2021/03/25 by Cesar A. Ipanaque Zapata, Zapata, Cesar A. Ipanaque, Jesús González +1
Computer Science · Engineering · #55P10 #68T40 #Algebraic Topology (math.AT) #Computational Geometry and Mesh Generation #FOS: Computer and information sciences #FOS: Mathematics #Modular Robots and Swarm Intelligence #Primary 55R80 #Robotic Path Planning Algorithms #Robotics (cs.RO) #Robotics and Sensor-Based Localization #Secondary 55M30
paper · pdf · doi:10.48550/arxiv.2103.14074
openalex publication_date 2021/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We describe parametrised motion planning algorithms for systems controlling objects represented by points that move without collisions in an even dimensional Euclidean space and in the presence of up to three obstacles with a priori unknown positions. Our algorithms are optimal in the sense that the parametrised local planners have minimal posible size.