The color excitable Schrodinger metamedium / Ostheimer E., Labunets V., Artemov I. // Communications in Computer and Information Science. - 2017. - V. 661, l. . - P. 314-325.

ISSN:

18650929

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 triplet-valued (color-valued) diffusion coefficients. Triplet numbers have the real part and two imaginary parts (with two imaginary units). They form 3-D triplet algebra. Discretization of the Schrodinger equation gives “lattice based metamaterial models” with various triplet–valued physical parameters. The process of excitation in these media is described by the Schrodinger equations with the wave functions that have values in triplet algebras. 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 arithmetic operating in the triplet algebra and exchanging massages about their state. Cellular automata like architectures have been successfully used for computer vision problems and color image processing. Such metamedia possess large opportunities in processing of color 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 color metamedium suggested can serve as the prosthesis prototype for perception of the color images. © Springer International Publishing AG 2017.

Author keywords:

Cellular automata; Diffusion; Image processing; Non-Euclidean geometry; Quantum approach; Schrodinger equation; Triplet algebra

Index keywords:

Algebra; Cellular automata; Color; Diffusion; Image analysis; Image processing; Prosthetics; Schrodinger equation; Wave functions; Computer vision problems; Non-Euclidean geometry; Physical parameters

DOI:

10.1007/978-3-319-52920-2_29

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85014303550&doi=10.1007%2f978-3-319-52920-2_29&partnerID=40&md5=4dec952163642b3ae8e58431fdea00d1

Соавторы в МНС:

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Другие поля

Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85014303550&doi=10.1007%2f978-3-319-52920-2_29&partnerID=40&md5=4dec952163642b3ae8e58431fdea00d1
Affiliations	Capricat LLCFL, United States; Ural Federal University, Yekaterinburg, Russian Federation
Author Keywords	Cellular automata; Diffusion; Image processing; Non-Euclidean geometry; Quantum approach; Schrodinger equation; Triplet algebra
References	Cardenas-Barrera, J., Plataniotis, K., (2002) QCA Implementation of a Multichannel Filter for Image Processing, 8, pp. 87-99; Rosin, P., Adamatzky, A., Sun, X., Automata, C., (2014) Cellular Automata in Image Processing and Geometry, pp. 65-80. , Springer, Cham; Labunets, V., Maidan, A., Colour triplet-valued wavelets and splines (2001) Image and Signal Processing and Analysis, Isppa, 1p; Ibraheem, N.A., Hasan, M.M., Understanding color models a review (2012) ARPN J. Sci. Technol, 2 (3), pp. 5-7; Watts, P., Working with RGB and HSL color coding systems in SAS software (2003) Proceedings of the Twenty-Eighth SAS Users Group International Conference Paper 136–28; Visvanathan, A., Relchenbach, S.E., Gradient-based value mapping for pseudocolor images (2007) J. Electron. Imaging, 16 (3), p. 033004; Harkin, A.A., Harkin, J.B., Geometry of generalized complex numbers (2004) Math. Mag., 77 (2), pp. 118-129. , Mathematic association of America, p. 2
Correspondence Address	Ostheimer, E.; Capricat LLCUnited States; email: katya@capricat.com
Editors	Loukachevitch N.Panchenko A.Vorontsov K.Labunets V.G.Savchenko A.V.Ignatov D.I.Nikolenko S.I.Khachay M.Y.
Sponsors	Exactpro;IT Centre;OK.Ru (Mail.Ru Group)
Publisher	Springer Verlag
Conference name	5th International Conference on Analysis of Images, Social Networks and Texts, AIST 2016
Conference date	7 April 2016 through 9 April 2016
Conference code	189269
ISBN	9783319529196
Language of Original Document	English
Abbreviated Source Title	Commun. Comput. Info. Sci.
Source	Scopus