Detail publikace
Geometric algebras for uniform colour spaces
HRDINA, J. VAŠÍK, P. MATOUŠEK, R. NÁVRAT, A.
Anglický název
Geometric algebras for uniform colour spaces
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
en
Originální abstrakt
We show the advantages and disadvantages of specific geometric algebras and propose practical implementations in colorimetry. The colour space CIEL∗a∗b∗ is endowed by an Euclidean metric; the neighbourhood of a point is therefore a sphere, and the choice of a conformal geometric algebra is thus obvious. For the colour space CMC(l:c), the neighbourhood is an ellipsoid and thus we choose the quadric geometric algebra to linearize the metric by means of the scalar product. We discuss the distance problems in colour spaces with these particular geometric algebras applied.
Anglický abstrakt
We show the advantages and disadvantages of specific geometric algebras and propose practical implementations in colorimetry. The colour space CIEL∗a∗b∗ is endowed by an Euclidean metric; the neighbourhood of a point is therefore a sphere, and the choice of a conformal geometric algebra is thus obvious. For the colour space CMC(l:c), the neighbourhood is an ellipsoid and thus we choose the quadric geometric algebra to linearize the metric by means of the scalar product. We discuss the distance problems in colour spaces with these particular geometric algebras applied.
Klíčová slova anglicky
clifford algebras; conformal geometric algebra; colorimetry; linearization; uniform colour spaces
Vydáno
30.06.2018
Nakladatel
John Wiley & Sons, Ltd
Místo
United Kingdom
ISSN
1099-1476
Ročník
41
Číslo
11
Strany od–do
4117–4130
Počet stran
14
BIBTEX
@article{BUT148401,
author="Jaroslav {Hrdina} and Petr {Vašík} and Radomil {Matoušek} and Aleš {Návrat},
title="Geometric algebras for uniform colour spaces",
year="2018",
volume="41",
number="11",
month="June",
pages="4117--4130",
publisher="John Wiley & Sons, Ltd",
address="United Kingdom",
issn="1099-1476"
}