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FACTORIZATION OF BINARY IMAGES ON THE RELATION OF COMBINATORY-HOMOTOPIC EQUIVALENCE

Annotation

The article investigates a comparison of combinatory-homotopic classes of bitmaps. The algorithm for creation of a combinatory-homotopic class tree of an image is presented. The algorithm is based on concepts of combinatory-homotopic equivalence and an index of pixel.

Keywords

algebraic topology; index of a pixel; combinatory-homotopic class; binary image; recognition of images

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UDC

51 + 515.14

Pages

1164-1166

References

1. Shchepin E.V., Nepomnyashchii G.M. On topology analysis of images, Mezvuzovskii subornik nauchnih trudov (in Russian). Moscow, MIP (1990). 2. Bykov A., Zerkalov L. Algorithms for Homotopy Classification of Binary Images // Pattern Recognition. 1996. V. 29. № 4. P. 565-574. 3. Zerkalov L.G., Vasil'ev D.V., Ostapov V.A. Ob optimizatsii protsessov raspoznavaniya binarnykh izobrazheniy // Sovremennye metody teorii kraevykh zadach: materialy Voronezhskoy vesenney matematicheskoy shkoly «Pontryaginskie chteniya – XXV». Voronezh: Izdatel'sko-poligraficheskiy tsentr «Nauchnaya kniga», 2014. C. 68-70.

Received

2015-06-02

Section of issue

Scientific articles

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