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Comparison of statistical properties for various morphological filters based on mosaic image shape models
Y.V. Vizilter 1, O.V. Vygolov 1, S.Y. Zheltov 1

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

 PDF, 890 kB

DOI: 10.18287/2412-6179-CO-842

Pages: 449-460.

Full text of article: Russian language.

Abstract:
We consider the statistical properties of different mosaic filters. We demonstrate that in Pitiev's morphology, the measure of shape complexity is directly related to the shape simplicity measure based on morphological correlation coefficient (MCC). Based on MCC, we introduce the normalized morphological simplification index (NMSI). Using NMSI, we show that the simpler the mosaic shape, the more shape simplification is provided by the corresponding Pyt'ev projector. For the examples of mean and median mosaic filters, we address the problem of different operator comparison. In this context we introduce the concept of statistically simplifying morphological operators. Morphological correlation of mosaic shape and diffusion mosaic operator is considered. We prove that the NMSI for the diffusion mosaic operator is not related to the complexity for the corresponding diffusion shape kernel. Thus, a principal qualitative difference in the relationship between relational and operator models for diffuse and projective mosaic linear filters is demonstrated.

Keywords:
morphological image analysis, diffusion morphology, morphological correlation, morphological operators, shape complexity.

Citation:
Vizilter YV, Vygolov OV, Zheltov SY. Comparison of statistical properties for various morphological filters based on mosaic image shape models. Computer Optics 2021; 45(3): 449-460. DOI: 10.18287/2412-6179-CO-842.

Acknowledgements:
This work was supported by a grant from the Russian Science Foundation No. 16-11-00082.

References:
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