Detail publikace

Geometric Algebra for Conics

HRDINA, J. NÁVRAT, A. VAŠÍK, P.

Anglický název

Geometric Algebra for Conics

Typ

Článek WoS

Jazyk

en

Originální abstrakt

We present a particular geometric algebra together with such an embedding of two–dimensional Euclidean space that the algebra elements may be in the most efficient way interpreted as arbitrary conic sections. Consequently, in this setting we provide full description of the conic sections analysis, classification and their transformations. Examples that show the functionality and consistency are provided in Maple together with the source code.

Klíčová slova anglicky

Conformal geometric algebra; Geometric algebra; Clifford algebra; Conic section

Vydáno

2018-07-09

Nakladatel

Birkhauser Verlag AG

Místo

Basel, Switzerland

ISSN

0188-7009

Ročník

28

Číslo

3

Strany od–do

66–87

Počet stran

21

BIBTEX


@article{BUT148669,
  author="Jaroslav {Hrdina} and Aleš {Návrat} and Petr {Vašík}",
  title="Geometric Algebra for Conics",
  journal="Advances in Applied Clifford Algebras",
  year="2018",
  volume="28",
  number="3",
  pages="66--87",
  doi="10.1007/s00006-018-0879-2",
  issn="0188-7009",
  url="https://link.springer.com/article/10.1007/s00006-018-0879-2?wt_mc=alerts.TOCjournals&utm_source=toc&utm_medium=email&utm_campaign=toc_6_28_3"
}