Detail publikace

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

LOUČKA, P.

Anglický název

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

Typ

Stať ve sborníku v databázi WoS či Scopus

Jazyk

en

Originální abstrakt

We introduce a new conic fitting algorithm using Geometric Algebra for Conics (GAC) that not only minimises the overall distance to a data set, but also causes the fitted conic to pass through prescribed waypoints. Moreover, the expression for points at infinity (also called improper points) in terms of GAC is derived; hence, the use of the improper waypoints in the conic fitting problem is enabled. Finally, a MATLAB implementation of the fitting algorithm and experimental results based on custom data sets are included.

Klíčová slova anglicky

Clifford algebra; conic fitting; geometric algebra; ideal point; improper point; point at infinity; proper point; waypoint

Vydáno

2023-04-27

Nakladatel

Springer, Cham

Místo

Switzerland

ISBN

978-3-031-30922-9

Kniha

EmpoweringNovel GeometricAlgebrafor GraphicsandEngineering

Strany od–do

67–79

Počet stran

13

BIBTEX


@inproceedings{BUT187886,
  author="Pavel {Loučka}",
  title="On Proper and Improper Points in Geometric Algebra for Conics and Conic Fitting Through Given Waypoints",
  booktitle="EmpoweringNovel GeometricAlgebrafor GraphicsandEngineering",
  year="2023",
  series="Lecture Notes in Computer Science",
  number="13862",
  pages="67--79",
  publisher="Springer, Cham",
  address="Switzerland",
  doi="10.1007/978-3-031-30923-6\{_}6",
  isbn="978-3-031-30922-9",
  url="https://link.springer.com/chapter/10.1007/978-3-031-30923-6_6"
}