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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F24%3APU150228" target="_blank" >RIV/00216305:26210/24:PU150228 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s00006-023-01308-5" target="_blank" >https://link.springer.com/article/10.1007/s00006-023-01308-5</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00006-023-01308-5" target="_blank" >10.1007/s00006-023-01308-5</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Advances in Applied Clifford Algebras

ISSN

0188-7009

e-ISSN

1661-4909

Svazek periodika

34

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

22

Strana od-do

1-22

Kód UT WoS článku

001138653300001

EID výsledku v databázi Scopus

2-s2.0-85181733150