Is the brain a ``Clifford algebra quantum computer{''}? / Labunets VG,Labunets-Rundblad EV,Astola J // . - 2001. - V. 4453, l. . - P. 134-145.

ISSN/EISSN:

0277-786X / нет данных

Type:

Proceedings Paper

Abstract:

We propose a novel method to calculate invariants of colour and multicolour images. It employs an idea of classical and quantum hypercomplex numbers and combines it with the idea of classical and quantum number theoretical transforms over hypercomplex algebras, which reduce the computational complexity of the global recognition algorithm for nD k-multispectral images from O(knN(n+1)) to O(kN(n) log N) and to O(kn log N), respectively. Our hypotheses are 1) the brain of primates calculates hypercomplex-valued invariants of an image during recognizing, 2) visual systems of animals with different evolutionary history use different hypercomplex algebras. The main goal of the paper is to show that quantum Clifford algebras can be used to solve pattern recognition in multispectral environment in a natural and effective manner.

Author keywords:

invariant pattern recognition; multicolour images; quantum Clifford algebras; fast Fourier transforms

DOI:

10.1117/12.447643

Web of Science ID:

ISI:000173939400017

Соавторы в МНС:

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Другие поля

Поле	Значение
Editor	Armenise, MN
Booktitle	MATERIALS AND DEVICES FOR PHOTONIC CIRCUITS II
Series	PROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS (SPIE)
Note	Conference on Materials and Devices for Photonic Circuits II, SAN DIEGO, CA, AUG 01-02, 2001
Organization	SPIE
Publisher	SPIE-INT SOC OPTICAL ENGINEERING
Address	1000 20TH ST, PO BOX 10, BELLINGHAM, WA 98227-0010 USA
Language	English
ISBN	0-8194-4167-8
Research-Areas	Engineering; Optics
Web-of-Science-Categories	Engineering, Electrical \& Electronic; Optics
ResearcherID-Numbers	Astola, Jaakko/G-4297-2014
Number-of-Cited-References	16
Usage-Count-Since-2013	1
Doc-Delivery-Number	BT74T