Dmitry I. Danilov     (Ural Federal University, Ekaterinburg, Russian Federation)
Alexey S. Lakhtin     (Ural Federal University, Ekaterinburg, Russian Federation)


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.


Hausdorff distance, Polygon, Optimization, Optimal control theory, Differential games, Theory of image recognition

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DOI: http://dx.doi.org/10.15826/umj.2018.1.002

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