Publication result detail

Geometric algebras for uniform colour spaces

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

Original Title

Geometric algebras for uniform colour spaces

English Title

Geometric algebras for uniform colour spaces

Type

WoS Article

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

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

Key words in English

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

Authors

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

RIV year

2019

Released

30.06.2018

Publisher

John Wiley & Sons, Ltd

Location

United Kingdom

ISBN

1099-1476

Periodical

MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Volume

41

Number

11

State

United Kingdom of Great Britain and Northern Ireland

Pages from

4117

Pages to

4130

Pages count

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"
}