Detail publikace

On Multi-conditioned Conic Fitting in Geometric Algebra for Conics

LOUČKA, P. VAŠÍK, P.

Originální název

On Multi-conditioned Conic Fitting in Geometric Algebra for Conics

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

We introduce several modifications of conic fitting in Geometric algebra for conics by incorporating additional conditions into the optimisation problem. Each of these extra conditions ensure additional geometric properties of a fitted conic, in particular, centre point position at the origin of coordinate system, axial alignment with coordinate axes, or, eventually, combination of both. All derived algorithms are accompanied by a discussion of the underlying algebra and computational optimisation issues. Finally, we present examples of use on a sample dataset and offer possible applications of the algorithms.

Klíčová slova

Conic fit; Geometric algebra; Clifford algebra; Centre position; Axial alignment

Autoři

LOUČKA, P.; VAŠÍK, P.

Vydáno

1. 7. 2023

Nakladatel

SPRINGER BASEL AG

Místo

BASEL

ISSN

0188-7009

Periodikum

ADV APPL CLIFFORD AL

Ročník

33

Číslo

3

Stát

Švýcarská konfederace

Strany počet

30

URL

https://link.springer.com/article/10.1007/s00006-023-01277-9

BibTex

@article{BUT183753,
  author="Pavel {Loučka} and Petr {Vašík}",
  title="On Multi-conditioned Conic Fitting in Geometric Algebra for Conics",
  journal="ADV APPL CLIFFORD AL",
  year="2023",
  volume="33",
  number="3",
  pages="30",
  doi="10.1007/s00006-023-01277-9",
  issn="0188-7009",
  url="https://link.springer.com/article/10.1007/s00006-023-01277-9"
}