Abstract
The task of image decomposition is to split an image into piecewise smooth structural and difference texture-noise components. It is used in many tasks of video information processing and analyzing. The problem of decomposition is to provide independent smoothing in each of the structural regions of the image and to preserve the signal structure. Most of the known methods of decomposition and smoothing are based on analysis of measurable parameters of the local image area, for example, the distribution of signal values. These data does not reflect image area characteristics well enough. Obvious criterion for spatial limiting of the analyzed area is the belonging of the target and surrounding points to the same image spatial area. A sufficient criterion for the connectivity of the points in a region is the absence of contour edges between them. The article proposes an approach to the construction of a decomposition algorithm based on a preliminary delineation of image areas by detecting contours between them and subsequent contour-limited smoothing inside each of the areas. The concept of similarity of points in the image is introduced, on the basis of which the smoothing algorithm is built. Experimental comparisons of the proposed algorithm with other well-known smoothing algorithms are carried out.
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References
Nishikawa, S., Massa, R.J., Mott-Smith J.C.: Area properties of television pictures. IEEE Trans. IT 11(3), 348–352 (1965)
Jeon, J., Lee, H., Kang, H., Lee, S.: Scale-aware structure-preserving texture filtering. Comput. Graph. Forum 35(7), 77–86. Eurographs Association & John Wiley, GBR, Chichester (2016)
Chochia, P.A.: Methods for Processing of Video Information on the Basis of Two-Scale Image Model. Lambert Academic Publ., Saarbrucken, LAP (2017). [in Russian]
Gastal E.S.L., Oliveira M.M. Domain transform for edge-aware image and video processing. In: Proceedings of SIGGRAPH, ACM Transaction on Graphics vol. 30, no. 4, pp. 1–12 (2011)
Lee, J.-S.: Digital image smoothing and the sigma filter. Comput. Vis. Graph. Image Process. 24(2), 255–269 (1983)
Mastin, G.A.: Adaptive filters for digital image noise smoothing: an evaluation. Comput. Vis. Graph. Image Process. 31(1), 103–121 (1985)
Chochia, P.A.: Image enhancement using sliding histograms. Comput. Vis. Graph. Image Process. 44(2), 211–229 (1988)
Tomasi, C., Manduchi, R.: Bilateral filtering for gray and color images. In: Proceeding IEEE 6th International Conference on Computer Vision, pp. 839–846. IEEE, Bombay, India (1998)
Criminisi, A., Sharp, T., Blake, A.: Geos: geodesic image segmentation. In: Computer Vision – ECCV 2008, pp. 99–112. Springer (2008)
Comaniciu, D., Meer, P.: Mean shift analysis and applications. In: Proceeding 7th IEEE International Conference on Computer Vision, vol. 2, pp. 1197–1203. Kerkyra, Greece (1999)
Parzen, E.: On estimation of a probability density function and model. Ann. Math. Statistics 33, 1065–1076 (1962)
Abiko, R., Ikehara, M.: Fast edge preserving 2D smoothing filter using indicator function. IEICE Trans. Inf. Syst. E102D(10), 2025–2032 (2019)
Mathematical Encyclopedia. vols. 1–5. Sov. Entsiklopediya, Moscow (1977). [in Russian]
Kronrod, A.S.: On functions of two variables. Uspehi Matematicheskih Nauk 5(1), 24–134 (1950). [in Russian]
Chochia, P.A., Milukova, O.P.: Comparison of two-dimensional variations in the context of the digital image complexity assessment. J. Commun. Technol. Electron. 60(12), 1432–1440 (2015)
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Chochia, P.A. (2021). Image Decomposition Based on Region-Constrained Smoothing. In: Del Bimbo, A., et al. Pattern Recognition. ICPR International Workshops and Challenges. ICPR 2021. Lecture Notes in Computer Science(), vol 12665. Springer, Cham. https://doi.org/10.1007/978-3-030-68821-9_10
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DOI: https://doi.org/10.1007/978-3-030-68821-9_10
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