Publication detail

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

LOUČKA, P. VAŠÍK, P.

Original Title

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

Type

conference paper

Language

English

Original Abstract

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.

Keywords

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

Authors

LOUČKA, P.; VAŠÍK, P.

Released

11. 10. 2021

Publisher

Springer, Cham

Location

Switzerland

ISBN

978-3-030-89028-5

Book

Advances in Computer Graphics

Edition

Lecture Notes in Computer Science

Edition number

13002

Pages from

645

Pages to

657

Pages count

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"
}