Detail publikačního výsledku

Geometric algebras for uniform colour spaces

HRDINA, J.; VAŠÍK, P.; MATOUŠEK, R.; NÁVRAT, A.

Originální název

Geometric algebras for uniform colour spaces

Anglický název

Geometric algebras for uniform colour spaces

Druh

Článek WoS

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

clifford algebras; conformal geometric algebra; colorimetry; linearization; uniform colour spaces

Klíčová slova v angličtině

clifford algebras; conformal geometric algebra; colorimetry; linearization; uniform colour spaces

Autoři

HRDINA, J.; VAŠÍK, P.; MATOUŠEK, R.; NÁVRAT, A.

Rok RIV

2019

Vydáno

30.06.2018

Nakladatel

John Wiley & Sons, Ltd

Místo

United Kingdom

ISSN

1099-1476

Periodikum

MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Svazek

41

Číslo

11

Stát

Spojené království Velké Británie a Severního Irska

Strany od

4117

Strany do

4130

Strany počet

14

URL

https://doi.org/10.1002/mma.4489

BibTex

@article{BUT148401,
  author="Jaroslav {Hrdina} and Petr {Vašík} and Radomil {Matoušek} and Aleš {Návrat}",
  title="Geometric algebras for uniform colour spaces",
  journal="MATHEMATICAL METHODS IN THE APPLIED SCIENCES",
  year="2018",
  volume="41",
  number="11",
  pages="4117--4130",
  doi="10.1002/mma.4489",
  issn="0170-4214",
  url="https://doi.org/10.1002/mma.4489"
}