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

WoS Article

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.

Keywords in English

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

Released

2018-06-30

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",
  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"
}