Smallest Enclosing Sphere in 3D -- Particle Swarm Optimization Approach

Abstract

We have employed Particle Swarm Optimization to address a stochastic variant of the Smallest Enclosing Sphere estimation problem. An efficient algorithm has been developed to ascertain the optimal center and radius of a sphere encompassing a cloud of points within a three-dimensional space. Our findings are benchmarked against simulated scenarios of the classical problem. Additionally, we elucidate several benefits of our proposed algorithm over Welzl's Algorithm.

arXiv comment20 pages, 3 figures