Publication detail

Conic Fitting in Geometric Algebra Setting

HRDINA, J. NÁVRAT, A. VAŠÍK, P.

English title

Conic Fitting in Geometric Algebra Setting

Type

journal article in Web of Science

Language

en

Original abstract

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.

English abstract

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.

Keywords in English

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

Released

27.07.2019

Publisher

Birkhauser Verlag AG

Location

Basel, Switzerland

ISSN

0188-7009

Volume

29

Number

4

Pages from–to

1–13

Pages count

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"
}