Publication detail

Conic Fitting in Geometric Algebra Setting

HRDINA, J. NÁVRAT, A. VAŠÍK, P.

Original Title

Conic Fitting in Geometric Algebra Setting

Type

journal article in Web of Science

Language

English

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.

Keywords

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

Authors

HRDINA, J.; NÁVRAT, A.; VAŠÍK, P.

Released

27. 7. 2019

Publisher

Birkhauser Verlag AG

Location

Basel, Switzerland

ISBN

0188-7009

Periodical

ADV APPL CLIFFORD AL

Year of study

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="ADV APPL CLIFFORD AL",
  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"
}