Detail publikačního výsledku

Conic Fitting in Geometric Algebra Setting

HRDINA, J.; NÁVRAT, A.; VAŠÍK, P.

Originální název

Conic Fitting in Geometric Algebra Setting

Anglický název

Conic Fitting in Geometric Algebra Setting

Druh

Článek WoS

Originální abstrakt

We present an algorithm for a conic fitting based on a gener-alization of planar version of conformal geometric algebra to geometricalgebra for conics (GAC). We introduce a novel normalization condi-tion that follows naturally from this setting and which is invariant withrespect to rotations and scaling. Finally, we provide a comparison tostandard methods demonstrated on examples in MATLAB.

Anglický abstrakt

We present an algorithm for a conic fitting based on a gener-alization of planar version of conformal geometric algebra to geometricalgebra for conics (GAC). We introduce a novel normalization condi-tion that follows naturally from this setting and which is invariant withrespect to rotations and scaling. Finally, we provide a comparison tostandard methods demonstrated on examples in MATLAB.

Klíčová slova

Conformal geometric algebra; Geometric algebra for conics; Clifford algebra; Conic fitting

Klíčová slova v angličtině

Conformal geometric algebra; Geometric algebra for conics; Clifford algebra; Conic fitting

Autoři

HRDINA, J.; NÁVRAT, A.; VAŠÍK, P.

Rok RIV

2020

Vydáno

27.07.2019

Nakladatel

Birkhauser Verlag AG

Místo

Basel, Switzerland

ISSN

0188-7009

Periodikum

Advances in Applied Clifford Algebras

Svazek

29

Číslo

4

Stát

Švýcarská konfederace

Strany od

1

Strany do

13

Strany počet

13

URL

https://link.springer.com/article/10.1007%2Fs00006-019-0989-5

BibTex

@article{BUT157838,
  author="Jaroslav {Hrdina} and Aleš {Návrat} and Petr {Vašík}",
  title="Conic Fitting in Geometric Algebra Setting",
  journal="Advances in Applied Clifford Algebras",
  year="2019",
  volume="29",
  number="4",
  pages="1--13",
  doi="10.1007/s00006-019-0989-5",
  issn="0188-7009",
  url="https://link.springer.com/article/10.1007%2Fs00006-019-0989-5"
}