HYPERCOMPLEX ALGEBRAS AS UNIFIED LANGUAGE FOR IMAGE PROCESSING AND PATTERN RECOGNITION PART 1. CLIFFORDEAN MODELS OF MULTICHANNEL IMAGES: chapter in book

Valeriy G. Labunets, Juriy G. Smetanin, Victor P. Chasovskikh, Ekaterina Ostheimer

Resultado de la investigación: Chapterrevisión exhaustiva

Resumen

In this work, we assume that a brain in the visual cortex (VC) operates with Clifford numbers when it calculates hypercomplex-valued invariants of an image as it recognizes it. Clifford algebras generalize the algebras of complex numbers, quaternions and octonions. Of course, the algebraic nature of hypercomplex numbers must correspond to the spaces with respect to geometrically perceivable properties. For recognition of 2-D (bichromatic), 3-D (color), and n-D (multi-channel) images, we turn the perceptual spaces into corresponding Clifford algebras (and call them the VC-perceptual algebras). This approach gives full representation of how algebraic structures can possess image features and how algebraic structures can be used in different visual systems. It is our aim to show that the use of Clifford algebras fits more naturally to the tasks of recognition of multicolor patterns than does the use of color vector spaces. One can argue that nature has, through evolution, also learned to utilize properties of Cliffordean numbers.
Idioma originalEnglish
Título de la publicación alojadaADVANCES IN INFORMATION TECHNOLOGIES, TELECOMMUNICATION, AND RADIOELECTRONICS
Subtítulo de la publicación alojadaсборник статей
EditoresS. Kumkov, S. Shabunin, S. Singellakis
Lugar de publicaciónCham
EditorialSpringer
Páginas3-19
Número de páginas17
ISBN (versión impresa)978-3-030-37513-3
DOI
EstadoPublished - 2020

Serie de la publicación

NombreСер. Innovation and Discovery in Russian Science and Engineering (IDRSE)

GRNTI

  • 27.17.00

Huella

Profundice en los temas de investigación de 'HYPERCOMPLEX ALGEBRAS AS UNIFIED LANGUAGE FOR IMAGE PROCESSING AND PATTERN RECOGNITION PART 1. CLIFFORDEAN MODELS OF MULTICHANNEL IMAGES: chapter in book'. En conjunto forman una huella única.

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