• Corpus ID: 118365386

Track reconstruction through the application of the Legendre Transform on ellipses

@article{Alexopoulos2016TrackRT,
  title={Track reconstruction through the application of the Legendre Transform on ellipses},
  author={Theodoros Alexopoulos and Y. Bristogiannis and Stefanos Leontsinis},
  journal={arXiv: Data Analysis, Statistics and Probability},
  year={2016}
}

• T. Alexopoulos, Y. Bristogiannis, S. Leontsinis
• Published 16 May 2016
• Physics
• arXiv: Data Analysis, Statistics and Probability

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.