Publication result detail

Conic Fitting in Geometric Algebra Setting

HRDINA, J.; NÁVRAT, A.; VAŠÍK, P.

Original Title

Conic Fitting in Geometric Algebra Setting

English Title

Conic Fitting in Geometric Algebra Setting

Type

WoS Article

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

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

Key words in English

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

Authors

HRDINA, J.; NÁVRAT, A.; VAŠÍK, P.

RIV year

2020

Released

27.07.2019

Publisher

Birkhauser Verlag AG

Location

Basel, Switzerland

ISBN

0188-7009

Periodical

Advances in Applied Clifford Algebras

Volume

29

Number

4

State

Swiss Confederation

Pages from

1

Pages to

13

Pages count

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"
}