Symmetrical aspects of the causality principle in statistical group-theoretical image-reconstruction methods
Source abstract
Abstract
New image processing methods that are based on statistical estimates of the invariants of image automorphism groups are considered. The cause-and-effect relationships during the processing of images in group-theoretical filters are investigated. The Curie principle is used to analyze the formation of images in spatial filtering algorithms with a local group.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Medical Imaging Techniques and Applications · Medical Image Segmentation Techniques · Advanced X-ray and CT Imaging
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References (6)
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1. Weyl, H., Klassicheskie gruppy, ikh invarianty i predstavleniya (Classical Groups, Their Invariants, and Representations), Moscow: Inostr. literatura, 1947.
2. Moiseev, N.N., Matematicheskie zadachi sistemnogo analiza (Mathematical Problems of System Analysis), Moscow: Nauka, 1981.
3. Bordovskii, G.A., Kondrat’ev, A.S., and Chouderi, A.D.R., Fizicheskie osnovy matematicheskogo modelirovaniya (Physical Foundations of Mathematical Simulation), Moscow: Akademiya, 2005.
4. Ewert, U., Baranov, V., and Borchard, K., Cross-Sectional Imaging of Building Elements by New Nonlinear Tomosynthesis Technique Using Imaging Plates and Co60 Radiation, NDT and E Intern., Elsevier Science Ltd., 1997, vol. 30, no. 4, pp. 243–248.10.1016/S0963-8695(96)00063-1 ↗
5. Baranov, V.A., Brazovskii, V.V., Ewert, U., and Redmer, B., Structurally Oriented Visualization of Crack-Formation Zones in Components of Nuclear Power Plants, Estestv. Tekhn. Nauki, 2010, no. 5, pp. 386–391.
6. Baranov, V.A., Brazovskii, V.V., Ivzhenko, O.O., and Ewert, U., Structurally Oriented Approach to Image Processing, Estestv. Tekhn. Nauki, 2010, no. 5, pp. 407–413.