On Visualisation of Linear Estimation and Fusion: From Equations to Ellipses

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F23%3A43969665" target="_blank" >RIV/49777513:23520/23:43969665 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1109/SDF-MFI59545.2023.10361360" target="_blank" >https://doi.org/10.1109/SDF-MFI59545.2023.10361360</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/SDF-MFI59545.2023.10361360" target="_blank" >10.1109/SDF-MFI59545.2023.10361360</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On Visualisation of Linear Estimation and Fusion: From Equations to Ellipses

Popis výsledku v původním jazyce

Visualisation of mathematical objects often leads to faster and easier comprehension of theories. On the other hand, deriving conclusions exclusively from a graphical interpretation can be misleading. A typical case in estimation is an ellipse, which corresponds to contour lines of a bivariate Gaussian density. This paper combines insights from various areas. Algebraic relations are presented first, geometric objects are shown subsequently. Constructions of ellipses by determining radii and positions of tangent lines are discussed. The stress is laid on exposition of linear estimation with a focus on methodology of fusion of estimates, especially in the case when cross-correlations of estimation errors are not fully known. The exposition also covers multidimensional variables, where the ellipses become ellipsoids.

Název v anglickém jazyce

On Visualisation of Linear Estimation and Fusion: From Equations to Ellipses

Popis výsledku anglicky

Visualisation of mathematical objects often leads to faster and easier comprehension of theories. On the other hand, deriving conclusions exclusively from a graphical interpretation can be misleading. A typical case in estimation is an ellipse, which corresponds to contour lines of a bivariate Gaussian density. This paper combines insights from various areas. Algebraic relations are presented first, geometric objects are shown subsequently. Constructions of ellipses by determining radii and positions of tangent lines are discussed. The stress is laid on exposition of linear estimation with a focus on methodology of fusion of estimates, especially in the case when cross-correlations of estimation errors are not fully known. The exposition also covers multidimensional variables, where the ellipses become ellipsoids.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20205 - Automation and control systems

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings of the 2023 IEEE Symposium Sensor Data Fusion and International Conference on Multisensor Fusion and Integration (SDF-MFI)

ISBN

979-8-3503-8258-7

ISSN

—

e-ISSN

2767-9357

Počet stran výsledku

6

Strana od-do

—

Název nakladatele

IEEE

Místo vydání

Bonn, Německo

Místo konání akce

Bonn, Německo

Datum konání akce

27. 11. 2023

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

—