OPTIMIZATION OF THE ALGORITHM FOR DETERMINING THE HAUSDORFF DISTANCE FOR CONVEX POLYGONS

The paper provides a brief historical analysis of problems that use the Hausdorff distance; provides an analysis of the existing Hausdorff distance optimization elements for convex polygons; and demonstrates an optimization approach. The existing algorithm served as the basis to propose low-level op...

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Veröffentlicht in:Ural mathematical journal 2018-07, Vol.4 (1), p.14-23
Hauptverfasser: Danilov, Dmitry I., Lakhtin, Alexey S.
Format: Artikel
Sprache:eng
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Zusammenfassung:The paper provides a brief historical analysis of problems that use the Hausdorff distance; provides an analysis of the existing Hausdorff distance optimization elements for convex polygons; and demonstrates an optimization approach. The existing algorithm served as the basis to propose low-level optimization with super-operative memory, ensuring the finding a precise solution by a full search of the corresponding pairs of vertices and sides of polygons with exclusion of certain pairs of vertices and sides of polygons. This approach allows a significant acceleration of the process of solving the set problem.
ISSN:2414-3952
2414-3952
DOI:10.15826/umj.2018.1.002