Detail publikace

Algorithms for Multi-conditioned Conic Fitting in Geometric Algebra for Conics

LOUČKA, P. VAŠÍK, P.

Anglický název

Algorithms for Multi-conditioned Conic Fitting in Geometric Algebra for Conics

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

en

Originální abstrakt

We introduce implementations of several conic fitting algorithms in Geometric algebra for conics. Particularly, we incorporate additional conditions into the optimisation problem, such as centre point position at the origin of coordinate system, axial alignment with coordinate axes, or, eventually, combination of both. We provide mathematical formulation together with the implementation in MATLAB. Finally, we present examples on a sample dataset and offer possible use of the algorithms.

Anglický abstrakt

We introduce implementations of several conic fitting algorithms in Geometric algebra for conics. Particularly, we incorporate additional conditions into the optimisation problem, such as centre point position at the origin of coordinate system, axial alignment with coordinate axes, or, eventually, combination of both. We provide mathematical formulation together with the implementation in MATLAB. Finally, we present examples on a sample dataset and offer possible use of the algorithms.

Klíčová slova anglicky

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

Vydáno

11.10.2021

Nakladatel

Springer, Cham

Místo

Switzerland

ISBN

978-3-030-89028-5

Kniha

Advances in Computer Graphics

Číslo edice

13002

Strany od–do

645–657

Počet stran

13

BIBTEX


@inproceedings{BUT173045,
  author="Pavel {Loučka} and Petr {Vašík},
  title="Algorithms for Multi-conditioned Conic Fitting in Geometric Algebra for Conics",
  booktitle="Advances in Computer Graphics",
  year="2021",
  month="October",
  pages="645--657",
  publisher="Springer, Cham",
  address="Switzerland",
  isbn="978-3-030-89028-5"
}