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Last update: Apr 1, 2000

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Track Fitting on the Riemann Sphere

Are Strandlie1, Jørn Wroldsen2
  1. Department of Technology, Gjøvik College, and Department of Physics, University of Oslo.
  2. Department of Technology, Gjøvik College.

Speaker: Jørn Wroldsen

  We present a novel method of fitting trajectories of charged particles in high-energy physics particle detectors. The method fits a circular arc to two-dimensional measurements by mapping the measurements onto the Riemann sphere and fit a plane to the transformed coordinates of the measurements. In this way, the non-linear task of circle fitting, which in general requires the application of some iterative procedure, is turned into a linear problem which can be solved in a fast, direct and non-iterative manner.
  We illustrate the usefulness of our approach by stating results from simulation experiments of tracks from the ATLAS Inner Detector Transition Radiation Tracker (TRT). The experiments show that the accuracy of the estimated track parameters is virtually as good as the accuracy obtained by applying an optimal, non-linear least-squares procedure. The computational cost of our method, however, is significantly lower.

Presentation:  Adobe Acrobat pdf Short Paper:  Adobe Acrobat pdf 

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