On April 25, 2019, Vladimir Chernov celebrated his 70th birthday, Doctor of Physics and Mathematics, Chief Researcher at the Laboratory of Mathematical Methods of Image Processing of the Image Processing Systems Institute of the Russian Academy of Sciences (IPSI RAS), a branch of the Federal Science Research Center "Crystallography and Photonics RAS and part-Time Professor at the Department of Geoinformatics and Information Security of the Samara National Research University named after academician S.P. Korolev (Samara University). The article briefly describes the scientific and pedagogical achievements of the hero of the day. © Published under licence by IOP Publishing Ltd

Labunets, V. G.

Smetanin, Y. G.

English

Electronic archive of the Ural State Forest Engineering University

Journal of Physics: Conference SeriesPAPER • OPEN ACCESSFor the Jubilee of Vladimir Mikhailovich ChernovTo cite this article: V G Labunets and Yu G Smetanin 2019 J. Phys.: Conf. Ser. 1368 032031 View the article online for updates and enhancements.This content was downloaded from IP address 79.110.248.251 on 27/01/2020 at 06:32Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distributionof this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.Published under licence by IOP Publishing LtdITNT 2019Journal of Physics: Conference Series 1368 (2019) 032031IOP Publishingdoi:10.1088/1742-6596/1368/3/0320311For the Jubilee of Vladimir Mikhailovich Chernov V G Labunets1, Yu G Smetanin2 1Ural State Forest Engineering University, Sibirsky trakt 37, Ekaterinburg, Russia, 620100 2Russian Foundation for Basic Research, Leninskiy pr. 32A, Moscow, Russia, 119334 e-mail: vlabunets05@yahoo.com Abstract. On April 25, 2019, Vladimir Chernov celebrated his 70th birthday, Doctor of Physics and Mathematics, Chief Researcher at the Laboratory of Mathematical Methods of Image Processing of the Image Processing Systems Institute of the Russian Academy of Sciences (IPSI RAS), a branch of the Federal Science Research Center “Crystallography and Photonics” RAS and part-time Professor at the Department of Geoinformatics and Information Security of the Samara National Research University named after academician S.P. Korolev (Samara University). The article briefly describes the scientific and pedagogical achievements of the hero of the day. 1. Introduction Vladimir Mikhailovich Chernov graduated from the Department of Mechanics and Mathematics of Kuibyshev State University in 1974 and was assigned to work as an assistant at the Department of Applied Mathematics of Kuibyshev Aviation Institute (presently, Samara University). He taught the “classical” mathematical disciplines: Mathematical Analysis, Linear Algebra, Theory of Algebraic Structures etc. He occupied the position of the Deputy Dean at the Department of Computer Science for more than ten years. In 1976 he entered a postgraduate program at the Department of Algebra and Number Theory of Saratov University. After finishing the postgraduate studies in 1979, he returned to the Department of Applied Mathematics of Kuibyshev Aviation Institute, where, in addition to his academic work, he was engaged in scientific research in the field of number theory, he also organized and conducted student seminars on the topics related to his research...  2. Academic Career The scientific activities of V.M. Chernov made a sharp turn and gained momentum in 1989, when he teamed up with a small but active research group led by the associate professor V.V. Sergeyev, which worked at the Research Laboratory No. 35 at the neighboring Department of Technical Cybernetics, he became part of this group and got actively involved in solving a wide range of issues on computer signal and image processing. As early as in 1993, he defended his candidate’s thesis on the topic “Algorithms for discrete orthogonal transformations with a recurrent basis in digital signal processing”, which was highly appreciated by the academic community, in particular, by the academician Yuri Ivanovich Zhuravlev, the founder of the Russian school of algebraic theory of algorithms and pattern recognition. Less than six years later, on the day of his 50th birthday, Vladimir ITNT 2019Journal of Physics: Conference Series 1368 (2019) 032031IOP Publishingdoi:10.1088/1742-6596/1368/3/0320312Mikhailovich defended his doctoral thesis “Arithmetic methods for the synthesis of fast algorithms of discrete transformations” at the dissertation council of the Computing Center of the Russian Academy of Sciences (Moscow) chaired by the academician Y.I. Zhuravlev. Starting from 1994, Vladimir Mikhailovich has been working at the laboratory of mathematical image processing methods of the Image Processing Systems Institute of the RAS [1], where he has been continuing to develop his research area, which has come into the international spotlight. His priority achievements are listed below: 1. Development of a constructive algebraic-arithmetic approach to the synthesis of fast algorithms of the class of discrete orthogonal transformations according to the scheme: a) embedding of the field containing the values of input signals and basic transformation functions into some topological algebra; b) calculating an auxiliary associated transformation with the values in this algebra with regard to its specific structural and topological properties; c) displaying the result obtained in the field (ring) containing the values of the output signal. In particular, algorithms of Discrete Fourier Transform (DFT) with a reduced computational complexity (including the reduction in the order of asymptotic complexity) were synthesized within the framework of such approach. The auxiliary “quaternion DFT” introduced by the author was used further by foreign researchers as a self-sufficient transform. 2. Development of a method for synthesizing the DFT analogs with the values in Clifford algebras and fast algorithms for calculating them - in collaboration with German colleagues. 3. Proof of the fundamental possibility of linear separability of recognizable classes of objects due to the special choice of the comprehensive algebraic structure and non-Archimedean metric in it (for example, the Prüfer polyadic numbers). His recent work has been devoted to transferring the ideas and methods of the theory of positional number systems to algebraic extensions, with the application to the problems of developing computer arithmetic, spectral analysis on “fractal” fields, fast and error-free computations, cryptography, etc. The works of V.M. Chernov are published actively in Russian and foreign scientific press. His monograph “Arithmetic methods for the synthesis of fast algorithms for discrete orthogonal transformations” published in 2007 by Fizmatlit publishing house became widely known, as it contains a large number of bright and ingenious author's ideas, and is written in a delightful style [2]. As of today, he has made more than 150 scientific publications in the form of articles, chapters of monographs, detailed materials in the proceedings of international conferences, etc. The most significant publications of V. M. Chernov are listed in the references to this article [2-54]. V.M. Chernov was awarded the Prize of the Samara Region Governor in the field of science and technology for the year 1999 for his work “Algebraic-arithmetic methods for discrete spectral analysis of multidimensional information”. V.M. Chernov is actively teaching at Samara University [55]. He has developed the original courses “Mathematical Methods of Cryptography and Information Security”, “Computer Algebra” etc., these courses have been delivered many times to the students studying at the specialties “Applied Mathematics and Computer Science” and “Information Security of Automated Systems”. V.M. Chernov pays great attention to the training of highly qualified scientific specialists: ten persons defended their candidate dissertations under his guidance: Chicheva M.A. (1998), Aliyev M.V. (2003), Bespolitov O.V. (2005), Belov A.M. (2007), Kalugin A.N. (2008), Mitekin V.A. (2009), Uryvskaya D.A. (2012), Fedoseev V.A. (2012), Kasparyan M.S. (2015), Bogdanov P.S. (2015). V.M. Chernov has a wide experience of scientific expertise: many times he has been acting as an opponent of candidate and doctoral dissertations, he is a member of two dissertation councils of Samara University, an expert of the Russian Foundation for Basic Research and a number of other scientific foundations, a member of program committees of all-Russian and international conferences. As a member of the editorial board of the scientific journal Computer Optics, he is responsible for the area of image processing, and in this position, he makes a significant contribution to the promotion of the journal to the international bibliographic databases Scopus and Web of Science [56]. He participates in international scientific professional associations: he is a member of the International Association for Pattern Recognition (IAPR); a board member of IAPR Technical ITNT 2019Journal of Physics: Conference Series 1368 (2019) 032031IOP Publishingdoi:10.1088/1742-6596/1368/3/0320313Committee 16 “Algebraic and Discrete Mathematical Techniques in Pattern Recognition and Image Analysis”.  3. Conclusion We would like to wish the estimable Vladimir Mikhailovich Chernov good health, energy and many talented students, so that he could continue his research and achieve new results in the fundamental scientific field he is developing! 4. References [1] Sokolov V O 2018 Image Processing Systems Institute of the RAS: New Challenges Journal of Physics: Conference Series 1096(1) 012024 DOI: 10.1088/1742-6596/1096/1/012024 [2] Chernov V M 2007 Arithmetic methods of fast algorithm of discrete orthogonal transforms synthesis (Moscow: Fizmatlit Publiher) p 264 [3] Felsberg M, Bulov Th, Sommer G and Chernov V M 2000 Fast Algorithms of Hypercomplex Fourier Transforms Geometric Computing with Clifford Algebras 231-254 [4] Chernov V M 2001 Clifford Algebras as Projections of Group Algebras Geometric Algebra with Applications in Science and Engineering 461-476 [5] Chernov V M 2001 Some algebraic methods in image recognition tasks Computer image processing methods (Moscow: Nauka) 275-296 [6] Chernov V M, Chicheva M A 2001 Algebraic-arithmetic methods of synthesis of fast algorithms of discrete orthogonal transforms Computer image processing methods (Moscow: Nauka) 301-384 [7] Chernov V М 2007 On defining equations for the elements of associative and commutative algebras Space-Time Structure. Algebra and Geometry (Lilia Print) 182-188 [8] Chernov V M 2007 Generalized n-ary laws in the algebra H(4) Space-Time Structure. Algebra and Geometry (Lilia Print) 189-209 [9] Chernov V M 1991 Non-Archimedian Normalized Fields and Algorithms for Two-Dimensional Discrete Fourier Transform Pattern Recognition and Image Analysis 1(4) 426-429 [10] Chernov V M 1992 On computational accuracy of discrete circular convolution in normalized fields Automatic Control and Computer Sciences 26(1) 50-53 [11] Chernov V M 1993 Number-theoretic transformations in redundant number system codes Engineering Simulation 11(4) 588-595 [12] Chernov V M 1994 A fast algorithm of discrete odd-lengths cosine transform Avtomatika i Vychislitel'naya Tekhnika (3) 62-70 [13] Chernov V M 1994 Digital Fourier transform algorithms with data representation in algebraic number fields Automatic Control and Computer Sciences 28(4) 54-59 [14] Chernov V M 1995 Arithmetic method in the theory of discrete orthogonal transforms Proc. SPIE 2363 134-141 [15] Chernov V M 1995 Algorithms of two-dimensional discrete orthogonal transformations realized in Hamilton-Eisenstein codes Problemy Peredachi Informatsii 31(3) 38-46 [16] Chernov V M 1995 Discrete orthogonal transforms with data representation in composition algebras Proc. of the 9th Scandinavian Conference on Image Analysis (SCIA'95) 1 357-364 [17] Chernov V M 1995 On the group algebras' hierarchy pertaining to the parametrization of fast algorithms of discrete orthogonal Lecture Notes in Computer Science 970 655-660 [18] Chernov V M 1995 Parametrization of some classes of fast algorithms of discrete orthogonal transforms Pattern Recognition and Image Analysis 5(2) 238-245 [19] Chernov V M 1995 Fast algorithms of two-dimensional discrete Fourier transform with splitting the basis of a non-integer order Stal' (12) 4-11 [20] Chernov V M 1996 Tauber theorems for Dirichlet series and fractals International Conference on Pattern Recognition 2 656-661 DOI: 10.1109/ICPR.1996.546905 [21] Chernov V M 1996 A metric unified treatment of two-dimensional FFT International Conference on Pattern Recognition 2 662-669 DOI: 10.1109/ICPR.1996.546906 ITNT 2019Journal of Physics: Conference Series 1368 (2019) 032031IOP Publishingdoi:10.1088/1742-6596/1368/3/0320314[22] Chernov V M 1997 The "modular perceptron": A linear classes separability in the non-Archimedean features spaces Proc. of the 10th Scandinavian Conference on Image Analysis 2 803-808 [23] Chernov V M 1997 Vector-radix FFT with splitting the radix of fractional order Proc. of the 10th Scandinavian Conference on Image Analysis 2 551-558 [24] Chernov A V, Chernov V M 1997 On Hestenes Formalization for Describing Linear Image Transforms Lecture Notes in Computer Science 1315 164-175 [25] Chernov V M, Pershina M V 1997 "Error-free" calculation of the convolution using generalized Mersenne and Fermat transforms over algebraic fields Lecture Notes in Computer Science 1296 621-628 [26] Chernov V M, Shabashev A V 1997 Non-Archimedian normalized fields in texture analysis tasks Lecture Notes in Computer Science 1296 155-161 [27] Chernov V M, Chichyeva M A 1997 "One-step" short-length DCT algorithms with data representation in the direct sum of associative algebras Lecture Notes in Computer Science 1296 590-596 [28] Chernov V M 1997 Hierarchy of group algebras associated with parametrization of fast algorithms for discrete orthogonal transforms Doklady Mathematics 56(3) 884-886 [29] Chernov V M 1998 Discrete transforms with Gaussian periods of cyclothmic fields as basis set functions Proc. SPIE 3348 233-237 [30] Chernov V M, Bayro-Corrochano E 1998 Clifford models of image transforms Pattern Recognition and Image Analysis 8(2) 274-275 [31] Chernov V M 1998 Discrete Stokes Theorem and Multidimensional Discrete Fourier Transform Pattern Recognition and Image Analysis 8(2) 506-508 [32] Chichyeva M A, Chernov V M 1999 Image Block Coding Based on New Algorithms of Shortlength DCT with Minimal Multiplicative Complexity Lecture Notes in Computer Science 1689 217-224 [33] Chernov V M 1999 Spectral Method of Algebraic Primitives Extracting Based on Multidimensional Images Representation Fundamental Structural Properties in Image and Pattern Analysis. Schriftenreihe der Oesterreichischen Computer Gesellschaft 130 169-179 [34] Chernov V M 2000 Synthesis of parallel algorithms of Fourier-Galois transforms in direct sums of finite rings Proceedings of the Samara Scientific Center of Russian Academy of Sciences 2(1)  128-134 [35] Chernov V M 2000 Discrete symplectic transforms and their fast algorithms Machine Graphics and Vision 9(1-2) 363-368 [36] Chernov V M, Sobolev D V 2000 Fast Algorithms of Discrete orthogonal Transforms Realized in the Number System with an Irrational Base Optical Memory & Neural Networks 9(2) 91-100 [37] Chernov V M 2000 Hurwitzion Algebra and its Application to the FFT Synthesis Lecture Notes in Computer Science 1888 154-163 [38] Chernov V M 2001 Diophantine approximations of algebraic irrationalities and stability theorems for polynomial decision rules Lecture Notes in Computer Science 2124 177-182 [39] Chernov V M 2002 Some FFT-Like Algorithms for RGB-Spectra Calculation Machine Graphics and Vision 11(2-3) 139-151 [40] Chernov V M, Kalouguine A N 2004 Factorization Ambiguity in Algebraic Number Fields: Schönhage-Strassen Algorithm Abstracts of fourth European congress of mathematics [41] Chernov V M 2004 Fast Algorithms for Discrete Fourier Transform: Galois Reduction Abstracts of fourth European congress of mathematics [42] Chernov V M 2004 Fast uniform distribution of sequences for fractal sets Proceedings of International Conference on Computer Vision and Graphics [43] Chernov V 2006 Fast algorithm for "error-free" convolution computation using Mersenne-Lucas codes Chaos, Solitons and Fractals 29(2) 372-380 [44] Fedoseev V, Chernov V 2006 Cryptography and canonical number systems in quadratic fields Machine Graphics and Vision 15(3-4) 362-372 ITNT 2019Journal of Physics: Conference Series 1368 (2019) 032031IOP Publishingdoi:10.1088/1742-6596/1368/3/0320315[45] Chernov V M 2009 On efficiency of Rader-Winograd algorithms Computer Optics 33(4) 456-459 [46] Bogdanov P S, Chernov V M 2013 Classification of binary quasicanonical number systems in imaginary quadratic fields Computer Optics 37(3) 391-400 [47] Chernov V M, Kasparyan M S 2013 Discrete orthogonal transforms on fundamental domains of canonical number systems Computer Optics 37(4) 484-488 [48] Bogdanov P S, Chernov V M 2014 Classification of ternary quasicanonical number systems in imaginary quadratic fields and their application Computer Optics 38(1) 139-148 [49] Bogdanov P S, Chernov V M 2014 Dimension of some fractal sets on hexagonal lattices Computer Optics 38(2) 330-334 [50] Chernov V M 2015 Quasiparallel algorithm for error-free convolution computation using reduced Mersenne–Lucas codes Computer Optics 39(2) 241-248 DOI: 10.18287/0134-2452-2015-39-2-241-248 [51] Chernov V M 2018 Calculation of Fourier-Galois transforms in reduced binary number systems Computer Optics 42(3) 495-500 DOI: 10.18287/2412-6179-2018-42-3-495-500 [52] Chernov V M 2018 Ternary number systems in finite fields Computer Optics 42(4) 704-711 DOI: 10.18287/2412-6179-2018-42-4-704-711 [53] Chernov V M 2018 Discrete orthogonal transforms with bases generated by self-similar sequences Computer Optics 42(5) 904-911 DOI: 10.18287/2412-6179-2018-42-5-904-911 [54] Chernov V M 2018 "Exotic" binary number systems for rings of Gauss and Eisenstein integers Computer Optics 42(6) 1068-1073 DOI: 10.18287/2412-6179-2018-42-6-1068-1073 [55] Kazanskiy N L 2017 Efficiency of deep integration between a research university and an academic institute Procedia Engineering 201 817-831 DOI: 10.1016/j.proeng.2017.09.604 [56] Stafeev S S 2017 Indexing of Computer Optics in the Emerging Sources Citation Index database Computer Optics 41(4) 592 DOI: 10.18287/2412-6179-2017-41-4-592 

For the Jubilee of Vladimir Mikhailovich Chernov

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For the Jubilee of Vladimir Mikhailovich Chernov

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