Publication detail

Geometric Algebra for Conics

HRDINA, J. NÁVRAT, A. VAŠÍK, P.

English title

Geometric Algebra for Conics

Type

journal article in Web of Science

Language

en

Original abstract

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.

English abstract

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.

Keywords in English

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

Released

09.07.2018

Publisher

Birkhauser Verlag AG

Location

Basel, Switzerland

ISSN

0188-7009

Volume

28

Number

3

Pages from–to

66–87

Pages count

21

BIBTEX


@article{BUT148669,
  author="Jaroslav {Hrdina} and Aleš {Návrat} and Petr {Vašík},
  title="Geometric Algebra for Conics",
  year="2018",
  volume="28",
  number="3",
  month="July",
  pages="66--87",
  publisher="Birkhauser Verlag AG",
  address="Basel, Switzerland",
  issn="0188-7009"
}