Reconstruction of an ellipse from its raster image

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Date
2015-04-14
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Mark
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Academic Publications, Ltd
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Abstract
Motivated by practical application, we investigate the ways how to obtain a description of an ellipse whose circumscribed rectangle is known exactly and whose coordinates of touching points are known up to a certain inaccuracy. We show the sufficient condition for determination of such an ellipse, derive the implicit and parametric equations and show a proposal of the solution by the modification of the standard regression method.
Motivovaný praktickými aplikacemi, zkoumáme způsoby, jak získat popis elipsy, jejíž ohraničený obdélník je známy, a jejíž souřadnice dotyku bodů jsou známy s určitou přesnosti. Formulujeme dostatečné podmínky pro stanovení takové elipsy, odvození implicitní a parametrické rovnice a ukazujeme návrh řešení modifikací standardního regrese.
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International Journal of Pure and Applied Mathematics. 2015, vol. 2015 (101), issue 2, p. 141-155.
http://www.ijpam.eu/contents/2015-101-2/3/index.html
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Peer-reviewed
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en
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Creative Commons Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
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