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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F23%3APU150792" target="_blank" >RIV/00216305:26210/23:PU150792 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/chapter/10.1007/978-3-031-30923-6_6" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-031-30923-6_6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-30923-6_6" target="_blank" >10.1007/978-3-031-30923-6_6</a>

Result language
angličtina
Original language name
On Proper and Improper Points in Geometric Algebra for Conics and Conic Fitting Through Given Waypoints
Original language description
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.
Czech name
—
Czech description
—

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
EmpoweringNovel GeometricAlgebrafor GraphicsandEngineering
ISBN
978-3-031-30922-9
ISSN
—
e-ISSN
—
Number of pages
13
Pages from-to
67-79
Publisher name
Springer, Cham
Place of publication
Switzerland
Event location
Online
Event date
Sep 12, 2022
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
—

Similar results(10)