Detail publikace

Algorithms for Conic Fitting Through Given Proper and Improper Waypoints in Geometric Algebra for Conics

LOUČKA, P. VAŠÍK, P.

Anglický název

Algorithms for Conic Fitting Through Given Proper and Improper Waypoints in Geometric Algebra for Conics

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

en

Originální abstrakt

As an addition to proper points of the real plane, we introduce a representation of improper points, i.e. points at infinity, in terms of Geometric Algebra for Conics (GAC) and offer possible use of both types of points. More precisely, we present two algorithms fitting a conic to a dataset with a certain number of points lying on the conic precisely, referred to as the waypoints. Furthermore, we consider inclusion of one or two improper waypoints, which leads to the asymptotic directions of the fitted conic. The number of used waypoints may be up to four and we classify all the cases.

Anglický abstrakt

As an addition to proper points of the real plane, we introduce a representation of improper points, i.e. points at infinity, in terms of Geometric Algebra for Conics (GAC) and offer possible use of both types of points. More precisely, we present two algorithms fitting a conic to a dataset with a certain number of points lying on the conic precisely, referred to as the waypoints. Furthermore, we consider inclusion of one or two improper waypoints, which leads to the asymptotic directions of the fitted conic. The number of used waypoints may be up to four and we classify all the cases.

Klíčová slova anglicky

Conic fitting; Geometric algebra; Clifford algebra; Waypoint; Proper point; Improper point; Point at infinity; Ideal point

Vydáno

01.02.2024

Nakladatel

SPRINGER BASEL AG

Místo

BASEL

ISSN

1661-4909

Ročník

34

Číslo

1

Strany od–do

1–22

Počet stran

22

BIBTEX


@article{BUT187178,
  author="Pavel {Loučka} and Petr {Vašík},
  title="Algorithms for Conic Fitting Through Given Proper and Improper Waypoints in Geometric Algebra for Conics",
  year="2024",
  volume="34",
  number="1",
  month="February",
  pages="1--22",
  publisher="SPRINGER BASEL AG",
  address="BASEL",
  issn="1661-4909"
}