Physical interpretation of the elements of image algebra

The physical and mathematical aspects of image algebra transformations, their elements and groups are reviewed, allowing some processes involved in innate visual perception mechanisms to be justified.

PACS: 02.10.−v, 42.30.Tz (all)
DOI: 10.1070/PU2004v047n10ABEH001638
URL: https://ufn.ru/en/articles/2004/10/c/
Web of Science

000226730200003
ADS NASA

2004PhyU...47.1017U
Citation: Utrobin V A "Physical interpretation of the elements of image algebra" Phys. Usp. 47 1017–1032 (2004)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Утробин В А «Физические интерпретации элементов алгебры изображения» УФН 174 1089–1104 (2004); DOI: 10.3367/UFNr.0174.200410d.1089

References (18) ↓ Cited by (8) Similar articles (9)

Vavilov S I Glaz i Solntse (The Eye and the Sun, Moscow: Izd. AN SSSR, 1961)
Tikhonov A N, Arsenin V Ya Metody Resheniya Nekorrektnykh Zadach (Methods of Solution of Incorrect Problems, Moscow: Radio i svyaz’, 1979) [Translated into English: Solutions of Ill-Posed Problems (Washington: Winston, 1977)]
Hadamard J Lectures on Cauchy’s Problem in Linear Partial Differential Equations (New York: Dover, 1952) [Translated into Russian (Moscow: Nauka, 1978)]
Chang S-K (Ed.) Principles of Visual Programming Systems (Englewood Cliffs, NJ: Prentice Hall, 1990) [Translated into Russian (Moscow: Mir, 1994)]
Kudryavtsev P S Kurs Istorii Fiziki (A Course in the History of Physics, Moscow: Prosveshchenie, 1974)
Utrobin V A Informatsionnye Modeli Sistemy Zritel’nogo Vospriyatiya dlya Zadach Komp’yuternoi Obrabotki Izobrazhenii (Informational Models of the Visual Perception System for Computer Processing of Images, Nizhnii Novgorod: Izd. NGTU, 2001)
Duda R O, Hart P E Pattern Classification and Scene Analysis (New York: Wiley, 1973) [Translated into Russian (Moscow: Mir, 1976)]
Fu K S Syntactic Methods in Pattern Recognition (New York: Academic Press, 1974) [Translated into Russian (Moscow: Mir, 1977)]
Bloembergen N, in Nonlinear Spectroscopy (Ed. N Bloembergen, Amsterdam: Elsevier, 1975) [Translated into Russian (Moscow: Mir, 1979)]
Kurdyumov S P et al., in Komp’yutery i Nelineinye Yavleniya: Informatika i Sovremennoe Estestvoznanie (Computers and Nonlinear Phenomena: Information Science and Contemporary Natural Science, Ed. A A Samarskii, Moscow: Nauka, 1988)
Kolmogorov A N Teoriya Informatsii i Teoriya algoritmov (Information Theory and the Theory of Algorithms, Moscow: Nauka, 1987) [Translated into English (Dordrecht: Kluwer Acad. Publ., 1993)]
Kondrat’ev V V, Utrobin V A Dokl. Ross. Akad. Nauk 347 316 (1996) [Dokl. Math. 53 295 (1996)]
Kondrat’ev V V, Utrobin V A Dokl. Ross. Akad. Nauk 350 315 (1996) [Dokl. Math. 54 800 (1996)]
Kondrat’ev V V, Utrobin V A Dokl. Ross. Akad. Nauk 356 178 (1997) [Dokl. Math. 56 801 (1997)]
Hilbert D, Cohn-Vossen S Anshauliche Geometric (New York: Dover Publ., 1944) [Translated into English from the German: Geometry and the Imagination (New York: Chelsea, 1952); translated into Russian (Moscow: Nauka, 1981)]
Kondrat’ev V V, Utrobin V A Pattern Recogn. Image Anal. 7 55 (1997)
Kondrat’ev V V, Utrobin V A Pattern Recogn. Image Anal. 7 250 (1997)
Landau L D, Lifshitz E M Mekhanika (Mechanics, Moscow: Nauka, 1965) [Translated into English (Oxford: Pergamon Press, 1976)]