Publication detail
Geometric algebras for uniform colour spaces
HRDINA, J. VAŠÍK, P. MATOUŠEK, R. NÁVRAT, A.
English title
Geometric algebras for uniform colour spaces
Type
journal article in Web of Science
Language
en
Original abstract
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.
English abstract
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.
Keywords in English
clifford algebras; conformal geometric algebra; colorimetry; linearization; uniform colour spaces
Released
30.06.2018
Publisher
John Wiley & Sons, Ltd
Location
United Kingdom
ISSN
1099-1476
Volume
41
Number
11
Pages from–to
4117–4130
Pages count
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"
}