The bichromatic excitable schrodinger metamedium / Ostheimer E., Labunets V., Artemov I. // CEUR Workshop Proceedings. - 2016. - V. 1710, l. . - P. 146-155.

ISSN:

16130073

Type:

Conference Paper

Abstract:

In this work, we apply quantum cellular automata (QCA) to study pattern formation and image processing in quantum-diffusion Schrodinger systems (QDSS) with generalized complex diffusion coefficients. Generalized complex numbers have the real part and imaginary part with the imaginary unit i2 = -1 (classical case), i2 = +1 (double numbers) and i2 = 0 (dual numbers). They form three 2-D complex algebras. Discretization of the Schrodinger equation gives lattice based metamaterial models with various complex valued physical parameters. The process of excitation in these media is described by the Schrodinger equations with the wave functions that have values in algebras of the complex, dual, double numbers. If a traditional computer is thought of as a programmable object, QDSS in the form of QCA is a computer of new kind and is better visualized as a programmable material. The purpose of this work is to introduce new metamedium in the form of cellular automata. The cells are placed in a 2-D array and they are capable of performing basic complex operating (in different complex algebras) and exchanging messages about their state. Cellular automata like architectures have been successfully used for computer vision problems and grey-level image processing. Such media possess large opportunities in processing of bichromatic images in comparison with the ordinary diffusion media with the real-valued diffusion coefficients. The latter media are used for creation of the eye-prosthesis (so called the silicon eye). The medium suggested can serve as the prosthesis prototype for perception of the bichromatic images.

Author keywords:

Cellular automata; Complex diffusion; Galilean geometry; Image processing; Metamedium; Minkowski geometry; Schrodinger equation

Index keywords:

Algebra; Cellular automata; Complex networks; Diffusion; Geometry; Image analysis; Prosthetics; Schrodinger equation; Wave functions; Complex diffusions; Computer vision problems; Metamedium; Minkowsk

DOI:

нет данных

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85017139885&partnerID=40&md5=bfdc94ce2d5e27143da6827ff688ca1f

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Другие поля

Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85017139885&partnerID=40&md5=bfdc94ce2d5e27143da6827ff688ca1f
Affiliations	Capricat LLCFL, United States; Ural Federal University, Yekaterinburg, Russian Federation
Author Keywords	Cellular automata; Complex diffusion; Galilean geometry; Image processing; Metamedium; Minkowski geometry; Schrodinger equation
References	Wolfram, S., Cellular automata as models of complexity (1985) Nature, 311 (5985), pp. 419-424. , Reprinted from, Macmillan Journals Ltd; Cardenas-Barrera, J., Plataniotis, K., QCA Implementation of a multichannel filter for image processing (2002) Mathematical Problems in Engineering, 8, pp. 87-99; Rosin, P., Adamatzky, A., Sun, X., (2014) Cellular Automata in Image Processing and Geometry - Switzerland, 304. , Springer International Publishing, p. - p. 65-80; Csetverikov, D., Basic algorithms for digital image analysis: A course Lecture 4: Filtering II//Faculty of Informatics, , Eotvos Lorand University. Budapest, Hungary; Welmar, J.R., Tyson, J.J., Watson, L.T., Third generation cellular automaton for modeling excitable media (2001) Technical Report TR-91-11, Computer Science, Virginia Polytechnic Institute and State University; Labunets, V.G., Excitable schrodinger metamedia (2013) CriMiCo 2013 - 2013 23rd Internation Crimean Conference, p. 12. , Microwave and Telecommunication Technology, Conference proceedings., V.I; Cannon, J.W., Hyperbolic geometry (1997) Flavors of Geometry, 31, pp. 7-8. , MSRI Publications; Yaglom, I.M., (1968) Complex Numbers in Geometry, 242, pp. 203-205. , New York.: Academic press; Harkin, A.A., Harkin, J.B., Geometry of generalized complex numbers (2004) Mathematics Magazine, 77 (2), pp. 1-5. , Mathematic association of America, April
Editors	Ignatov D.I.Khachay M.Y.Nikolenko S.Panchenko A.Vorontosov K.V.Loukachevitch N.Panchenko A.Savchencko A.V.Labunets V.G.
Sponsors	Centre of Information Technologies (Centre IT);Exactpro;OK.Ru (Mail.Ru Group)
Publisher	CEUR-WS
Conference name	5th International Conference on Analysis of Images, Social Networks and Texts, AIST 2016
Conference date	6 April 2016 through 8 April 2016
Conference code	126090
Language of Original Document	English
Abbreviated Source Title	CEUR Workshop Proc.
Source	Scopus