Detail publikace

Geometric Algebra for Conics

HRDINA, J. NÁVRAT, A. VAŠÍK, P.

Originální název

Geometric Algebra for Conics

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

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

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

Autoři

HRDINA, J.; NÁVRAT, A.; VAŠÍK, P.

Vydáno

9. 7. 2018

Nakladatel

Birkhauser Verlag AG

Místo

Basel, Switzerland

ISSN

0188-7009

Periodikum

ADV APPL CLIFFORD AL

Ročník

28

Číslo

3

Stát

Švýcarská konfederace

Strany od

66

Strany do

87

Strany počet

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="ADV APPL CLIFFORD AL",
  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"
}