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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2001 Volume 7, Issue 3, Pages 909–924 (Mi fpm592)

Octonions and binocular mobilevision

D. V. Yur'ev

Centre of mathematical physics "Talassa Eteria"

Abstract: This paper, being addressed to a wide scope of theorists, algebraists and geometers, as well as to applied scientists who specialize in computer graphics, machine vision, mathematical psychology of visual perception and are involved in elaboration of real-time interactive videosystems, is devoted to the interrelation of two objects: the first of them is the non-associative algebra of octonions, a classical structure of pure mathematics, the second one is mobilevision, a recently elaborated technique of real-time interactive computer graphics. General aspects of nonclassical computer descriptive geometry and operator (quantum-field) methods in the theory of real-time interactive videosystems are also discussed.

UDC: 519.689.6+512.554.2

Received: 01.09.1996



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