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Computer Optics, 2021, Volume 45, Issue 5, Pages 756–766
DOI: https://doi.org/10.18287/2412-6179-CO-843
(Mi co964)
 

This article is cited in 2 scientific papers (total in 2 papers)

NUMERICAL METHODS AND DATA ANALYSIS

Morphological analysis of mosaic shapes with directed relationships based on attribute and relational model representations

Yu. V. Vizilter, O. V. Vygolov, S. Yu. Zheltov

State Research Institute of Aviation Systems
Full-text PDF (851 kB) Citations (2)
References:
Abstract: We introduce attribute and relational representations of mosaic image models with directed relationships between regions. Attribute representations of asymmetric relational models based on stacking, ranking and integral descriptions are considered. We propose some morphological shape similarity measures based on relational models. We show that using the same oriented relational model, various morphological operators can be constructed, in particular, of Serra- or Pyt’ev type. Some constructive methods for the design of such morphological operators in an attribute and relational domains are proposed. From this consideration we also extract a new morophlogical scheme for two-stage mutual adaptive image-and-shape joint filtering: at the first step, the shape is simplified (projected) with regard to the image to be projected, and at the second step, the image is simplified (projected) with regard to the simplified (projected) shape.
Keywords: morphological image analysis, relational models, morphological correlation, morphological operators, shape complexity
Funding agency Grant number
Russian Science Foundation 16-11-00082
The reported study was funded by the Russian Science Foundation (RNF) according to the research project № 16-11-00082.
Received: 04.12.2020
Accepted: 22.06.2021
Document Type: Article
Language: Russian
Citation: Yu. V. Vizilter, O. V. Vygolov, S. Yu. Zheltov, “Morphological analysis of mosaic shapes with directed relationships based on attribute and relational model representations”, Computer Optics, 45:5 (2021), 756–766
Citation in format AMSBIB
\Bibitem{VizVygZhe21}
\by Yu.~V.~Vizilter, O.~V.~Vygolov, S.~Yu.~Zheltov
\paper Morphological analysis of mosaic shapes with directed relationships based on attribute and relational model representations
\jour Computer Optics
\yr 2021
\vol 45
\issue 5
\pages 756--766
\mathnet{http://mi.mathnet.ru/co964}
\crossref{https://doi.org/10.18287/2412-6179-CO-843}
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  • https://www.mathnet.ru/eng/co/v45/i5/p756
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Computer Optics
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