Towards the methodology for solving the minimum enclosing ball and related problems
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917803696586752 |
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| author | Vrahatis, Michael N. |
| author_facet | Vrahatis, Michael N. |
| contents | Methodology is provided towards the solution of the minimum enclosing ball problem. This problem concerns the determination of the unique spherical surface of smallest radius enclosing a given bounded set in the d-dimensional Euclidean space. Mathematical formulation and typical methods for solving this problem are presented. Also, the paper is focused on areas that are related to this problem, namely: (a) promise problems and property testing, (b) theorems for partitioning and enclosing (covering) a set, and (c) computation of the diameter of a set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_11063 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Towards the methodology for solving the minimum enclosing ball and related problems Vrahatis, Michael N. Computational Geometry Artificial Intelligence Geometric Topology Methodology is provided towards the solution of the minimum enclosing ball problem. This problem concerns the determination of the unique spherical surface of smallest radius enclosing a given bounded set in the d-dimensional Euclidean space. Mathematical formulation and typical methods for solving this problem are presented. Also, the paper is focused on areas that are related to this problem, namely: (a) promise problems and property testing, (b) theorems for partitioning and enclosing (covering) a set, and (c) computation of the diameter of a set. |
| title | Towards the methodology for solving the minimum enclosing ball and related problems |
| topic | Computational Geometry Artificial Intelligence Geometric Topology |
| url | https://arxiv.org/abs/2410.11063 |