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Morphological analysis of mosaic shapes with directed relationships based on attribute and relational model representations
Yu.V. Vizilter 1, O.V. Vygolov 1, S.Yu. Zheltov 1

1 State Research Institute of Aviation Systems (GosNIIAS), Moscow, Russia

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DOI: 10.18287/2412-6179-CO-843

Pages: 756-766.

Full text of article: Russian language.

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.

Citation:
Vizilter YV, Vygolov OV, Zheltov SY. Morphological analysis of mosaic shapes with directed relationships based on attribute and relational model representations. Computer Optics 2021; 45(5): 756-766. DOI: 10.18287/2412-6179-CO-843.

Acknowledgements:
The reported study was funded by the Russian Science Foundation (RNF) according to the research project No. 16-11-00082.

References:
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