Track reconstruction through the application of the Legendre Transform on ellipses

Track reconstruction through the application of the Legendre Transform on ellipses

We propose a pattern recognition method that identifies the common tangent lines of a set of ellipses. The detection of the tangent lines is attained by applying the Legendre transform on a given set of ellipses. As context, we consider a hypothetical detector made out of layers of chambers, each of...

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Hauptverfasser: Alexopoulos, T, Bristogiannis, Y, Leontsinis, S
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Physics - Data Analysis, Statistics and Probability
Physics - Instrumentation and Detectors
Physics - Instrumentation and Methods for Astrophysics
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Bristogiannis, Y
Leontsinis, S
description We propose a pattern recognition method that identifies the common tangent lines of a set of ellipses. The detection of the tangent lines is attained by applying the Legendre transform on a given set of ellipses. As context, we consider a hypothetical detector made out of layers of chambers, each of which returns an ellipse as an output signal. The common tangent of these ellipses represents the trajectory of a charged particle crossing the detector. The proposed method is evaluated using ellipses constructed from Monte Carlo generated tracks.
doi_str_mv 10.48550/arxiv.1605.04738
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Physics - Instrumentation and Detectors
Physics - Instrumentation and Methods for Astrophysics
title Track reconstruction through the application of the Legendre Transform on ellipses
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