Detail publikace

Conic Fitting in Geometric Algebra Setting

HRDINA, J. NÁVRAT, A. VAŠÍK, P.

Anglický název

Conic Fitting in Geometric Algebra Setting

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

en

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 anglicky

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

Vydáno

27.07.2019

Nakladatel

Birkhauser Verlag AG

Místo

Basel, Switzerland

ISSN

0188-7009

Ročník

29

Číslo

4

Strany od–do

1–13

Počet stran

13

BIBTEX


@article{BUT157838,
  author="Jaroslav {Hrdina} and Aleš {Návrat} and Petr {Vašík},
  title="Conic Fitting in Geometric Algebra Setting",
  year="2019",
  volume="29",
  number="4",
  month="July",
  pages="1--13",
  publisher="Birkhauser Verlag AG",
  address="Basel, Switzerland",
  issn="0188-7009"
}