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
článek ve sborníku ve WoS nebo 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.
Anglický 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
27.04.2023
Nakladatel
Springer, Cham
Místo
Switzerland
ISBN
978-3-031-30922-9
Kniha
EmpoweringNovel GeometricAlgebrafor GraphicsandEngineering
Číslo edice
13862
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",
month="April",
pages="67--79",
publisher="Springer, Cham",
address="Switzerland",
isbn="978-3-031-30922-9"
}