# 3-dimensional multivertex reconstruction from 2-dimensional tracks observations using likelihood inference

Nikolai I. Chernov; Genadij A. Ososkov; Luc Pronzato

Applications of Mathematics (1992)

- Volume: 37, Issue: 6, page 437-452
- ISSN: 0862-7940

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topChernov, Nikolai I., Ososkov, Genadij A., and Pronzato, Luc. "3-dimensional multivertex reconstruction from 2-dimensional tracks observations using likelihood inference." Applications of Mathematics 37.6 (1992): 437-452. <http://eudml.org/doc/15726>.

@article{Chernov1992,

abstract = {Let $v_1, v_2,..., v_k$ be vertices in the $XYZ$-space, each vertex producing several tracks (straight lines) emanating from it within a narrow cone with a small angle about a fixed direction ($Z$-axis). Each track is detected (by drift chambers or other detectors) by its projections on $XY$ and $YZ$ views independently with small errors. An automated method is suggested for the reconstruction of vertices from noisy observations of the tracks projections. The procedure is based on the likelihood inference for mixtures. An illustrative example is considered.},

author = {Chernov, Nikolai I., Ososkov, Genadij A., Pronzato, Luc},

journal = {Applications of Mathematics},

keywords = {3-dimensional multivertex reconstruction; 2-dimensional tracks observations; projections; reconstruction of vertices; noisy observations; likelihood inference for mixtures; 3-dimensional multivertex reconstruction; 2-dimensional tracks observations; projections; reconstruction of vertices; noisy observations; likelihood inference for mixtures},

language = {eng},

number = {6},

pages = {437-452},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {3-dimensional multivertex reconstruction from 2-dimensional tracks observations using likelihood inference},

url = {http://eudml.org/doc/15726},

volume = {37},

year = {1992},

}

TY - JOUR

AU - Chernov, Nikolai I.

AU - Ososkov, Genadij A.

AU - Pronzato, Luc

TI - 3-dimensional multivertex reconstruction from 2-dimensional tracks observations using likelihood inference

JO - Applications of Mathematics

PY - 1992

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 37

IS - 6

SP - 437

EP - 452

AB - Let $v_1, v_2,..., v_k$ be vertices in the $XYZ$-space, each vertex producing several tracks (straight lines) emanating from it within a narrow cone with a small angle about a fixed direction ($Z$-axis). Each track is detected (by drift chambers or other detectors) by its projections on $XY$ and $YZ$ views independently with small errors. An automated method is suggested for the reconstruction of vertices from noisy observations of the tracks projections. The procedure is based on the likelihood inference for mixtures. An illustrative example is considered.

LA - eng

KW - 3-dimensional multivertex reconstruction; 2-dimensional tracks observations; projections; reconstruction of vertices; noisy observations; likelihood inference for mixtures; 3-dimensional multivertex reconstruction; 2-dimensional tracks observations; projections; reconstruction of vertices; noisy observations; likelihood inference for mixtures

UR - http://eudml.org/doc/15726

ER -

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