Abstract
The issues of joint estimation of the scaling, singular, multifractal, and anisotropic properties of image texture are considered. A technique for forming a fundamentally new class of topological textural-multifractal descriptors for joint estimation of various fractal properties of a texture is described. The efficiency of segmentation of real radar and optical images by the Fuzzy c-means clustering algorithms in the space of the proposed class of descriptors is estimated. Based on the results and their comparison with the accuracy of segmentation by the existing descriptor, the conclusion about the higher informativity of the new class of topological fractal descriptors is made.
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REFERENCES
R. M. Haralick, K. Shanmugan, and I. Dinstein, IEEE Trans. Syst. Man Cybern. 3, 610 (1973).
A. A. Potapov, Yu. V. Gulyaev, S. A. Nikitov, et al., Newest Methods of Image Processing, Ed. by A. A. Potapov (Fizmatlit, Moscow, 2008) [in Russian].
A. V. Zamyatin, N. G. Markov, and N. G. Napryushkin, Issled. Zemli iz Kosmosa, No. 2, 32 (2004).
V. P. Fralenko, Program. Sist: Teoriya i Prilozh., No. 4, 19 (2014).
B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, New York, 1982).
J. Feder, Fractals (Plenum, New York, 1988).
A. A. Potapov, Fractals in Radiophysics and the Radar-Location: Selection Topology (Universitetskaya Kniga, Moscow, 2005).
A. N. Pototskii, Vozd.-Kosm. Sily. Teoriya i Praktika, No. 12, 106 (2019).
J. J. Wu, Chaos, Solitons, Fractals, No. 13, 1791 (2002).
A. Ayache and J. Levy Vehel, Fractals: Theory and Applications in Engineering, Ed. by M. Dekking, J. Levy Vehel, E. Lutton, and C. Tricot (Springer, London, 1999), p. 17.
S. Peleg, J. Naor, and R. Hartley, IEEE Trans. Pattern Anal. Mach. Intell. 6, 518 (1984).
T. Peli, J. Opt. Soc. Am. A 7, 1101 (1990).
J. C. Buckland-Wright, J. A. Lynch, and D. G. Macfarlane, Ann. Rheum. Dis., No. 55, 749 (1995).
M. Wolski, P. Podsiadlo, and G. W. Stachowiak, Proc. Inst. Mechan. Engineers. Pt. H: J. Engineering in Medicine 223, 211 (2009).
N. Sarkar and B. B. Chaudhuri, Signal Proc. 42 (2), 181 (1995).
Y. Xia, D. Feng, and R. Zhao, IEEE Trans. Image Process. 15, 614 (2006).
Y. Xia, D. Feng, R. Zhao, and Y. Zhang, Pattern Recogn. Lett. 31, 163 (2010).
V. A. Kuznetsov and A. N. Pototskii, Usp. Sovr. Radioelektron., No. 3, 39 (2017).
V. A. Kuznetsov and A. N. Pototskii, Usp. Sovr. Radioelektron. No. 8, 27 (2018).
A. A. Potapov, J. Commun. Technol. Electron. 48, 1012 (2003).
A. A. Potapov, in Proc. II All-Russian Sci.-Pract. Conf. “Avionics”, Voronezh, Mar. 16–17, 2017 (VUNTs VVS, Voronezh, 2017), p. 143.
A. A. Potapov, Vestn. Vozdush-Kosmich. Obor., No. 2, 15 (2018).
A. A. Potapov, Univ. J. Phys. Appl. 11 (1), 13 (2017).
A. A. Potapov, Wei Zhang, and Tianhua Feng, in Proc. 2018 Int. Conf. Mechatronics, Engineering, and Computer Sci., Chenyang (China), May 18–20, 2018 (IEEE, Los Alamitos, 2018), Vol. 5, p. 833.
A. A. Potapov, Radar. Results of Theoretical and Experimental Studies: in 2 Vol., Ed. by A. B. Blyakhman (Radiotekhnika, Moscow, 2019), Vol. 2, p. 15 [in Russian].
A. A. Potapov, in Proc. 14th Int. Conf. “Zabababakhinsky Scientific Readings,” Snezhinsk, Mar. 18–22, 2019, p. 105.
Yu. V. Gulyaev and A. A. Potapov, J. Commun. Technol. Electron. 64, 911 (2019).
A. A. Potapov, in Proc. All-Russian Sci.- Tech. Conf. “Topical Problems of Condensed State Physics,” dedicated to the 100th anniversary of the Groznyi State Tech. Univ., Groznyi, Feb. 29, 2020 (GGTU, Groznyi, 2020), p. 59.
Danping Pan, Tianhua Feng, Wei Zhang, and A. A. Potapov, Opt. Lett. 44, 2943 (2019).
Lei Wan, Danping Pan, A. A. Potapov, et al., Opt. Lett. 45, 2070 (2020).
Tianhua Feng, A. A. Potapov, Zixian Liang, and Yi Xu, Phys. Rev. Appl. 13, 021002–1 (2020).
Tianhua Feng, Shuaifeng Yang, Ning Lai, A. A. Potapov, et al., Phys. Rev. B 102, 205428–1 (2020).
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Potapov, A.A., Kuznetsov, V.A. & Pototskii, A.N. New Class of Topological Textural Multifractal Descriptors and Their Application for Processing Low-Contrast Radar and Optical Images. J. Commun. Technol. Electron. 66, 581–590 (2021). https://doi.org/10.1134/S1064226921050090
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DOI: https://doi.org/10.1134/S1064226921050090