Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
}
TY - GEN
T1 - Is the brain a "Clifford algebra quantum computer"?
T2 - book chapter
AU - Labunets, Valeri
AU - Labunets-Rundblad, Ekaterina v.
AU - Astola, Jaakko
PY - 2001
Y1 - 2001
N2 - 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.
AB - 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.
UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=000173939400017
UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=0035761231
U2 - 10.1117/12.447643
DO - 10.1117/12.447643
M3 - Conference contribution
SN - 0-8194-4167-8
VL - 4453
T3 - Proceedings of SPIE
SP - 134
EP - 145
BT - MATERIALS AND DEVICES FOR PHOTONIC CIRCUITS II
A2 - Armenise, M.
PB - SPIE
ER -
ID: 42978858