Detail publikačního výsledku

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

LOUČKA, P.; VAŠÍK, P.

Originální název

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

Anglický název

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

Druh

Stať ve sborníku v databázi WoS či Scopus

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

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

Klíčová slova v angličtině

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

Autoři

LOUČKA, P.; VAŠÍK, P.

Rok RIV

2022

Vydáno

11.10.2021

Nakladatel

Springer, Cham

Místo

Switzerland

ISBN

978-3-030-89028-5

Kniha

Advances in Computer Graphics

Edice

Lecture Notes in Computer Science

Strany od

645

Strany do

657

Strany počet

13

URL

https://link.springer.com/chapter/10.1007/978-3-030-89029-2_48#aboutcontent

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",
  series="Lecture Notes in Computer Science",
  number="13002",
  pages="645--657",
  publisher="Springer, Cham",
  address="Switzerland",
  doi="10.1007/978-3-030-89029-2\{_}48",
  isbn="978-3-030-89028-5",
  url="https://link.springer.com/chapter/10.1007/978-3-030-89029-2_48#aboutcontent"
}