New connected components algorithms and invariant transformations of digital images

In the paper, using the concept of invariant transformation of a digital picture (transformation which preserves topology) an algorithm for calculation of the number of components, the number of holes and Euler characteristics of an (8, 4) digital picture, and an algorithm for determing whether two marked pixels belong to the same black component are considered. By methods of digital simulation and non-parametric statistics some comparative evaluation of the productivity of the proposed algorithm for the calculation of Euler characteristics with similar algorithms is realized. © 1998 Pattern Recognition Society. Published by Elsevier Science Ltd. All rights reserved.

Authors
Bykov A.I. 1, 2, 3 , Zerkalov L.G. 2 , Albores Velasco F.J. , Rodríguez Pineda M.A.
Journal
Pattern Recognition
Publisher
Elsevier Science Ltd, United Kingdom
Number of issue
8
Language
English
Pages
1089-1098
Status
Published
Link
External link
DOI
10.1016/S0031-3203(97)00072-1
Volume
31
Year
1998
Organizations
  • 1 Benemerita Univ. Auton. de Puebla, F.C.F.M., Ciudad Universitaria, Col. San Manuel, C.P. 72570 Puebla, Mexico
  • 2 Department of Mathematical Analysis, Peoples' Friendship Univ. of Russia, Miklukho-Maklaya, 6, Moscow, 117198, Russian Federation
  • 3 Benemerita Univ. Auton. de Puebla, F.C.F.M., Ciudad Universitaria, Col. San Manuel, C.P. 72570 Puebla, Pue., Mexico
Keywords
Digital picture; Euler number; Index of a point; Invariant transformation
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/642/
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