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@article{JCEM_2018_5_2_a4, author = {V. A. Surin and A. N. Tyrsin}, title = {Nonlinear filtering of noisy contrast images based on the generalized method of the least absolute values}, journal = {Journal of computational and engineering mathematics}, pages = {58--69}, publisher = {mathdoc}, volume = {5}, number = {2}, year = {2018}, language = {en}, url = {http://geodesic.mathdoc.fr/item/JCEM_2018_5_2_a4/} }
TY - JOUR AU - V. A. Surin AU - A. N. Tyrsin TI - Nonlinear filtering of noisy contrast images based on the generalized method of the least absolute values JO - Journal of computational and engineering mathematics PY - 2018 SP - 58 EP - 69 VL - 5 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JCEM_2018_5_2_a4/ LA - en ID - JCEM_2018_5_2_a4 ER -
%0 Journal Article %A V. A. Surin %A A. N. Tyrsin %T Nonlinear filtering of noisy contrast images based on the generalized method of the least absolute values %J Journal of computational and engineering mathematics %D 2018 %P 58-69 %V 5 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/JCEM_2018_5_2_a4/ %G en %F JCEM_2018_5_2_a4
V. A. Surin; A. N. Tyrsin. Nonlinear filtering of noisy contrast images based on the generalized method of the least absolute values. Journal of computational and engineering mathematics, Tome 5 (2018) no. 2, pp. 58-69. http://geodesic.mathdoc.fr/item/JCEM_2018_5_2_a4/
[1] L. P. Yaroslavskii, Vvedenie v tsifrovuyu obrabotku izobrazhenii, Sovetskoe radio, M., 1979, 312 pp.
[2] T. S. Huang, J.-O. Eklund, G. J. Nussbaumer, et al., Two-Dimensional Digital Signal Processing, v. 2, Transforms and Median Filters, Springer-Verlag, Berlin; Heidelberg; New York, 1981 | MR
[3] I. A. Sheremet, A. P. Rukin, V. D Lebedev, “Obrabotka izobrazhenii s pomoschyu tselochislennykh ortogonalnykh preobrazuyuschikh matrits”, Tsifrovaya obrabotka signalov, 2014, no. 4, 45–53
[4] V. K. Klochko, V. P. Kuznetsov, “Methods of Image Reconstruction and Hardware Function Evaluation Based on a Thinned Observation Matrix”, Optoelectronics, Instrumentation and Data Processing, 52:6 (2016), 537–545 | DOI | MR
[5] V. A. Volokhov, Podavlenie gaussovskogo shuma v izobrazheniyakh na osnove analiza glavnykh komponent i nelokalnoi obrabotki, Avtoreferat diss. ...kand. tekhn. nauk, Vladimirskii gos. universitet im. A.G. i N.G. Stoletovykh, Vladimir, 2012
[6] A. S. Lukin, N. V. Mamaev, D. V. Yurin, “Lokalnaya otsenka urovnya shuma na tsifrovykh izobrazheniyakh”, Trudy 16-i mezhdunarodnoi konferentsii “Tsifrovaya obrabotka signalov i ee primenenie”, v. 2, 2014, 445–449
[7] A. L. Priorov, I. V. Apalkov, S. S. Bukhtoyarov, V. V. Khryaschev, “Pereklyuchayuschiisya mediannyi filtr s blokom predvaritelnogo detektirovaniya”, Tsifrovaya obrabotka signalov, 2006, no. 4, 2–8 } (data obrascheniya: 9 iyunya 2018) {\tt http://www.dspa.ru/articles/year2006/jour06_4/art06_4_1.pdf
[8] R. C. Gonzalez, R. E. Woods, Digital Image Processing, Prentice Hall, New Jersey, 1992
[9] V. A. Surin, A. N. Tyrsin, “Research of Properties of Digital Noise in Contrast Images”, CEUR Workshop Proceeding, 1710 (2016), 340–348 } (accessed on June 9, 2018) {\tt http://ceur-ws.org/Vol-1710/paper34.pdf
[10] J. W. Tukey, “Discussion Emphasizing the Connection between Analysis of Variance and Spectrum Analysis”, Technometrics, 3 (1961), 191–219 | DOI | MR | Zbl
[11] E. Abreu, M. Lightstone, S. Mitra, K. Arakawa, “A New Efficient Approach for the Removal of Impulse Noise from Highly Corrupted Images”, IEEE Trans. on Image Processing, 5:6 (1996), 1012–1025 | DOI
[12] R. Chan, C. Ho, M. Nikolova, “Convergence of Newton's Method for a Minimization Problem in Impulse Noise Removals”, J. Comput. Math., 2 (2004), 168–177 | MR | Zbl
[13] S. Schulte, M. Nachtegael, V. De Witte, D. van der Weken, E. Kerre, “A Fuzzy Impulse Noise Detection and Reduction Method”, IEEE Trans. on Image Processing, 15:5 (2006), 1153–1162 | DOI
[14] A. N. Tyrsin, V. A. Surin, “Non-Linear Filtering of Images on the Basis of Generalized Method of Least Absolute Values”, CEUR Workshop Proceeding, 1197 (2014), 41–47
[15] A. N. Tyrsin, “Robust Construction of Regression Models Based on the Generalized Least Absolute Deviations Method”, Journal of Mathematical Sciences, 139:3 (2006), 6634–6642 | DOI | MR
[16] V. A. Surin, A. N. Tyrsin, “Model nelineinogo filtra dlya tsifrovoi obrabotki kontrastnykh izobrazhenii”, Avtometriya, 54:2 (2018), 54–62 | DOI