Smallest Enclosing Sphere in 3D -- Particle Swarm Optimization Approach
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866910283099799552 |
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| author | Moriya, Netzer |
| author_facet | Moriya, Netzer |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_03843 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Smallest Enclosing Sphere in 3D -- Particle Swarm Optimization Approach Moriya, Netzer Optimization and Control 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. |
| title | Smallest Enclosing Sphere in 3D -- Particle Swarm Optimization Approach |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2311.03843 |