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JOURNALS // Ural Mathematical Journal // Archive

Ural Math. J., 2018 Volume 4, Issue 1, Pages 14–23 (Mi umj52)

This article is cited 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.

Language: English

DOI: 10.15826/umj.2018.1.002



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