13 Pattern Recognition and Reconstruction
607
30. R. Frühwirth and A. Strandlie, “Application of adaptive filters to track finding,” Nucl.
Instrum. Meth., vol. A559, p. 162, 2006.
31. A. Strandlie and R. Frühwirth, “Reconstruction of charged tracks in the presence of large
amounts of background and noise,” Nucl. Instrum. Meth., vol. A566, p. 157, 2006.
32. A. Strandlie and R. Frühwirth, “Track and vertex reconstruction: From classical to adaptive
methods,” Rev. Mod. Phys., vol. 82, pp. 1419–1458, May 2010.
33. H. Wind, “Evaluating a magnetic field component from boundary observations only,” Nucl.
Instrum. Meth., vol. 84, p. 117, 1970.
34. M. Aleksa et al., “Measurement of the ATLAS solenoid magnetic field,” JINST, vol. 3,
p. P04003, 2008.
35. R. Frühwirth, “Prepating Magnetic Field Measurements,” Comput. Phys. Commun., vol. 22,
p. 223, 1981.
36. N. Amapane, V. Andreev, V. Drollinger, V. Karimäki, V. Klyukhin, and T. Todorov, “Volumebased representation of the magnetic field,” in Computing in high energy physics and nuclear
physics. Proceedings, Conference, CHEP’04, Interlaken, Switzerland, September 27-October
1, 2004, p. 310, 2004.
37. R. Frühwirth et al., Data Analysis Techniques for High-Energy Physics. Cambridge:
Cambridge University Press, 2 ed., 2000.
38. E. Lund, L. Bugge, I. Gavrilenko, and A. Strandlie, “Track parameter propagation through
the application of a new adaptive Runge-Kutta-Nystroem method in the ATLAS experiment,”
JINST, vol. 4, p. P04001, 2009.
39. A. Strandlie and W. Wittek, “Derivation of Jacobians for the propagation of covariance
matrices of track parameters in homogeneous magnetic fields,” Nucl. Instrum. Meth.,
vol. A566, no. 2, p. 687, 2006.
40. J. Myrheim and L. Bugge, “A Fast Runge-Kutta Method for Fitting Tracks in a Magnetic
Field,” Nucl. Instrum. Meth., vol. 160, p. 43, 1979.
41. L. Bugge and J. Myrheim, “Tracking and Track fitting,” Nucl. Instrum. Meth., vol. 179,
p. 365, 1981.
42. R. Frühwirth and M. Regler, “On the quantitative modelling of core and tails of multiple
scattering by Gaussian mixtures,” Nucl. Instrum. Meth., vol. A456, no. 3, p. 369, 2001.
43. J. Jackson, Classical Electrodynamics. John Wiley & Sons, 2007.
44. C. Patrignani et al., “Review of Particle Physics,” Chin. Phys., vol. C40, no. 10, p. 100001,
2016.
45. H. Eichinger and M. Regler, “Review of track-fitting methods in counter experiments,” Tech.
Rep. CERN-81-06, CERN, 1981.
46. P. Avery, “Applied fitting theory V: track fitting using the Kalman filter,” Tech. Rep. CLEO
Note CBX92-39, Cornell University, 1992.
47. V. Innocente and E. Nagy, “Trajectory fit in presence of dense materials,” Nucl. Instrum.
Meth., vol. A324, p. 297, 1993.
48. H. Bethe and W. Heitler, “On the Stopping of fast particles and on the creation of positive
electrons,” Proc. Roy. Soc. Lond., vol. A146, p. 83, 1934.
49. R. Frühwirth, “A Gaussian-mixture approximation of the Bethe–Heitler model of electron
energy loss by bremsstrahlung,” Comput. Phys. Commun., vol. 154, no. 2, p. 131, 2003.
50. W. Adam, R. Frühwirth, A. Strandlie, and T. Todorov, “Reconstruction of electrons with
the Gaussian-sum filter in the CMS tracker at the LHC,” J. Phys. G: Nuclear and Particle
Physics, vol. 31, no. 9, p. N9, 2005.
51. V. Kartvelishvili, “Electron bremsstrahlung recovery in ATLAS,” Nucl. Phys. Proc. Suppl.,
vol. 172, p. 208, 2007.
52. N. Chernov and G. Ososkov, “Effective Algorithms of Circle Fitting,” Comput. Phys.
Commun., vol. 33, p. 329, 1984.
53. V. Karimäki, “Effective circle fitting for particle trajectories,” Nucl. Instrum. Meth.,
vol. A305, p. 187, 1991.
54. A. Strandlie, J. Wroldsen, R. Frühwirth, and B. Lillekjendlie, “Particle tracks fitted on the
Riemann sphere,” Comput. Phys. Commun., vol. 131, p. 95, 2000.
607
30. R. Frühwirth and A. Strandlie, “Application of adaptive filters to track finding,” Nucl.
Instrum. Meth., vol. A559, p. 162, 2006.
31. A. Strandlie and R. Frühwirth, “Reconstruction of charged tracks in the presence of large
amounts of background and noise,” Nucl. Instrum. Meth., vol. A566, p. 157, 2006.
32. A. Strandlie and R. Frühwirth, “Track and vertex reconstruction: From classical to adaptive
methods,” Rev. Mod. Phys., vol. 82, pp. 1419–1458, May 2010.
33. H. Wind, “Evaluating a magnetic field component from boundary observations only,” Nucl.
Instrum. Meth., vol. 84, p. 117, 1970.
34. M. Aleksa et al., “Measurement of the ATLAS solenoid magnetic field,” JINST, vol. 3,
p. P04003, 2008.
35. R. Frühwirth, “Prepating Magnetic Field Measurements,” Comput. Phys. Commun., vol. 22,
p. 223, 1981.
36. N. Amapane, V. Andreev, V. Drollinger, V. Karimäki, V. Klyukhin, and T. Todorov, “Volumebased representation of the magnetic field,” in Computing in high energy physics and nuclear
physics. Proceedings, Conference, CHEP’04, Interlaken, Switzerland, September 27-October
1, 2004, p. 310, 2004.
37. R. Frühwirth et al., Data Analysis Techniques for High-Energy Physics. Cambridge:
Cambridge University Press, 2 ed., 2000.
38. E. Lund, L. Bugge, I. Gavrilenko, and A. Strandlie, “Track parameter propagation through
the application of a new adaptive Runge-Kutta-Nystroem method in the ATLAS experiment,”
JINST, vol. 4, p. P04001, 2009.
39. A. Strandlie and W. Wittek, “Derivation of Jacobians for the propagation of covariance
matrices of track parameters in homogeneous magnetic fields,” Nucl. Instrum. Meth.,
vol. A566, no. 2, p. 687, 2006.
40. J. Myrheim and L. Bugge, “A Fast Runge-Kutta Method for Fitting Tracks in a Magnetic
Field,” Nucl. Instrum. Meth., vol. 160, p. 43, 1979.
41. L. Bugge and J. Myrheim, “Tracking and Track fitting,” Nucl. Instrum. Meth., vol. 179,
p. 365, 1981.
42. R. Frühwirth and M. Regler, “On the quantitative modelling of core and tails of multiple
scattering by Gaussian mixtures,” Nucl. Instrum. Meth., vol. A456, no. 3, p. 369, 2001.
43. J. Jackson, Classical Electrodynamics. John Wiley & Sons, 2007.
44. C. Patrignani et al., “Review of Particle Physics,” Chin. Phys., vol. C40, no. 10, p. 100001,
2016.
45. H. Eichinger and M. Regler, “Review of track-fitting methods in counter experiments,” Tech.
Rep. CERN-81-06, CERN, 1981.
46. P. Avery, “Applied fitting theory V: track fitting using the Kalman filter,” Tech. Rep. CLEO
Note CBX92-39, Cornell University, 1992.
47. V. Innocente and E. Nagy, “Trajectory fit in presence of dense materials,” Nucl. Instrum.
Meth., vol. A324, p. 297, 1993.
48. H. Bethe and W. Heitler, “On the Stopping of fast particles and on the creation of positive
electrons,” Proc. Roy. Soc. Lond., vol. A146, p. 83, 1934.
49. R. Frühwirth, “A Gaussian-mixture approximation of the Bethe–Heitler model of electron
energy loss by bremsstrahlung,” Comput. Phys. Commun., vol. 154, no. 2, p. 131, 2003.
50. W. Adam, R. Frühwirth, A. Strandlie, and T. Todorov, “Reconstruction of electrons with
the Gaussian-sum filter in the CMS tracker at the LHC,” J. Phys. G: Nuclear and Particle
Physics, vol. 31, no. 9, p. N9, 2005.
51. V. Kartvelishvili, “Electron bremsstrahlung recovery in ATLAS,” Nucl. Phys. Proc. Suppl.,
vol. 172, p. 208, 2007.
52. N. Chernov and G. Ososkov, “Effective Algorithms of Circle Fitting,” Comput. Phys.
Commun., vol. 33, p. 329, 1984.
53. V. Karimäki, “Effective circle fitting for particle trajectories,” Nucl. Instrum. Meth.,
vol. A305, p. 187, 1991.
54. A. Strandlie, J. Wroldsen, R. Frühwirth, and B. Lillekjendlie, “Particle tracks fitted on the
Riemann sphere,” Comput. Phys. Commun., vol. 131, p. 95, 2000.