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This article is cited in 3 scientific papers (total in 3 papers)
Optimization of the algorithm for determining the Hausdorff distance for convex polygons
Dmitry I. Danilov, Alexey S. Lakhtin Ural Federal University, Ekaterinburg, Russia
Abstract:
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.
Keywords:
Hausdorff distance, Polygon, Optimization, Optimal control theory, Differential games, Theory of image recognition.
Citation:
Dmitry I. Danilov, Alexey S. Lakhtin, “Optimization of the algorithm for determining the Hausdorff distance for convex polygons”, Ural Math. J., 4:1 (2018), 14–23
Linking options:
https://www.mathnet.ru/eng/umj52 https://www.mathnet.ru/eng/umj/v4/i1/p14
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Abstract page: | 198 | Full-text PDF : | 102 | References: | 37 |
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