Comparison of statistical properties for various morphological filters based on mosaic image shape models
| Autor: | Y. V. Vizilter, Sergey Yu. Zheltov, O. V. Vygolov |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
morphological image analysis
Information theory morphological operators business.industry Computer science Mosaic (geodemography) Pattern recognition diffusion morphology QC350-467 Optics. Light Atomic and Molecular Physics and Optics shape complexity Computer Science Applications Image (mathematics) morphological correlation Artificial intelligence Electrical and Electronic Engineering Q350-390 business |
| Zdroj: | Компьютерная оптика, Vol 45, Iss 3, Pp 449-460 (2021) |
| ISSN: | 2412-6179 0134-2452 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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