Publication detail
Conic Fitting in Geometric Algebra Setting
HRDINA, J. NÁVRAT, A. VAŠÍK, P.
English title
Conic Fitting in Geometric Algebra Setting
Type
journal article in Web of Science
Language
en
Original abstract
We present an algorithm for a conic fitting based on a gener-alization of planar version of conformal geometric algebra to geometricalgebra for conics (GAC). We introduce a novel normalization condi-tion that follows naturally from this setting and which is invariant withrespect to rotations and scaling. Finally, we provide a comparison tostandard methods demonstrated on examples in MATLAB.
English abstract
We present an algorithm for a conic fitting based on a gener-alization of planar version of conformal geometric algebra to geometricalgebra for conics (GAC). We introduce a novel normalization condi-tion that follows naturally from this setting and which is invariant withrespect to rotations and scaling. Finally, we provide a comparison tostandard methods demonstrated on examples in MATLAB.
Keywords in English
Conformal geometric algebra; Geometric algebra for conics; Clifford algebra; Conic fitting
Released
27.07.2019
Publisher
Birkhauser Verlag AG
Location
Basel, Switzerland
ISSN
0188-7009
Volume
29
Number
4
Pages from–to
1–13
Pages count
13
BIBTEX
@article{BUT157838,
author="Jaroslav {Hrdina} and Aleš {Návrat} and Petr {Vašík},
title="Conic Fitting in Geometric Algebra Setting",
year="2019",
volume="29",
number="4",
month="July",
pages="1--13",
publisher="Birkhauser Verlag AG",
address="Basel, Switzerland",
issn="0188-7009"
}