Publication result detail

Geometric Algebra for Conics

HRDINA, J.; NÁVRAT, A.; VAŠÍK, P.

Original Title

Geometric Algebra for Conics

English Title

Geometric Algebra for Conics

Type

WoS Article

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

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

Key words in English

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

Authors

HRDINA, J.; NÁVRAT, A.; VAŠÍK, P.

RIV year

2019

Released

09.07.2018

Publisher

Birkhauser Verlag AG

Location

Basel, Switzerland

ISBN

0188-7009

Periodical

Advances in Applied Clifford Algebras

Volume

28

Number

3

State

Swiss Confederation

Pages from

66

Pages to

87

Pages count

21

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

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"
}