Detail publikačního výsledku

Geometric Algebra for Conics

HRDINA, J.; NÁVRAT, A.; VAŠÍK, P.

Originální název

Geometric Algebra for Conics

Anglický název

Geometric Algebra for Conics

Druh

Článek WoS

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.

Anglický 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

Klíčová slova v angličtině

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

Autoři

HRDINA, J.; NÁVRAT, A.; VAŠÍK, P.

Rok RIV

2019

Vydáno

09.07.2018

Nakladatel

Birkhauser Verlag AG

Místo

Basel, Switzerland

ISSN

0188-7009

Periodikum

Advances in Applied Clifford Algebras

Svazek

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

Plný text v Digitální knihovně

http://hdl.handle.net/

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"
}