Skip to main content
SpringerLink
Log in

On mathematical approach to circle fitting problem in the analysis of rich detector data

  • Part II
  • Methods of Treatment of Experimental Data
  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

The paper describes a couple of methods solving the Cherenkov rings detection and fitting problem connected with the analysis of RICH detector data. First, a procedure of the global search for the rings and of their fitting is presented. It is based on the statistical methods and probabilistic models. Further, a more general problem of detection of point objects in the plane is considered and the statistical moving window solution is proposed. The paper also describes a procedure for the simulation of RICH detector data.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. G. Agakichiev and G. Ososkov: Cherenkov ring fitting techniques for the CERES RICH detectors. Nuclear Instruments and Methods in Physics Research A 371 (1996), 243–247.

    Article  ADS  Google Scholar 

  2. L. Heinrich: On a test of randomness of spatial point patterns. Statistik 15 (1984), 413–420.

    Article  MATH  MathSciNet  Google Scholar 

  3. P. Volf and A. Linka: On MCMC Methods in Bayesian Regression Analysis and Model Selection. In Lecture Notes of Summer School of Intern. Association of Computational Statistics, University of Padova, 1997.

  4. P. Volf, A. Linka, and J. Picek: MCMC solution to circle fitting in analysis of RICH detector data. In: Proceedings of Compstat'98 Physica Verlag, Heidelberg, 1998, 383–388.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Information Theory and Automation, Czech Academy of Sciences, Pod vodárenskou věží 4, Prague 8, Czech Republic

    Petr Volf

  2. Technical University of Liberec, Hálkova 6, Liberec, Czech Republic

    Ales Linka & Jan Picek

Authors
  1. Petr Volf
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ales Linka
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jan Picek
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Volf, P., Linka, A. & Picek, J. On mathematical approach to circle fitting problem in the analysis of rich detector data. Czech J Phys 50 (Suppl 1), 365–370 (2000). https://doi.org/10.1007/s10582-000-0075-0

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10582-000-0075-0

Keywords

Search

Navigation