The use of vector interpretation of projective geometry invariants for analyzing dynamic spatial images

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F20%3A00346863" target="_blank" >RIV/68407700:21230/20:00346863 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.5593/sgem2020/6.1/s28.099" target="_blank" >https://doi.org/10.5593/sgem2020/6.1/s28.099</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.5593/sgem2020/6.1/s28.099" target="_blank" >10.5593/sgem2020/6.1/s28.099</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The use of vector interpretation of projective geometry invariants for analyzing dynamic spatial images

Popis výsledku v původním jazyce

This work focuses on the use of projective geometry methods to determine star positions produced on the basis of positional observations. As is known, projective geometry studies invariant projective transformations. The main feature of projective geometry is the principle of duality, which adds elegant symmetry to many designs. While the properties of the figures that Euclidean geometry deals with are metric, but there are figures that can be converted into one another by movement while maintaining the metric properties, that is, there are more complex properties of geometric figures, it is necessary to use the corresponding methods. The method novelty lies in the fact that the technique allows analyzing images of multiple systems of reference star positions having independent proper motions. The use of this projective geometry apparatus may have a wide application for the study of multi-parameter dynamic coordinate systems and the construction of the considered clusters' models.

Název v anglickém jazyce

The use of vector interpretation of projective geometry invariants for analyzing dynamic spatial images

Popis výsledku anglicky

This work focuses on the use of projective geometry methods to determine star positions produced on the basis of positional observations. As is known, projective geometry studies invariant projective transformations. The main feature of projective geometry is the principle of duality, which adds elegant symmetry to many designs. While the properties of the figures that Euclidean geometry deals with are metric, but there are figures that can be converted into one another by movement while maintaining the metric properties, that is, there are more complex properties of geometric figures, it is necessary to use the corresponding methods. The method novelty lies in the fact that the technique allows analyzing images of multiple systems of reference star positions having independent proper motions. The use of this projective geometry apparatus may have a wide application for the study of multi-parameter dynamic coordinate systems and the construction of the considered clusters' models.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10308 - Astronomy (including astrophysics,space science)

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název statě ve sborníku

20th International Multidisciplinary Scientific Geoconference SGEM 2020

ISBN

978-619-7603-04-0

ISSN

1314-2704

e-ISSN

—

Počet stran výsledku

8

Strana od-do

759-766

Název nakladatele

International Multidisciplinary Scientific GeoConference SGEM

Místo vydání

Sofia

Místo konání akce

Albena

Datum konání akce

16. 8. 2020

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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