Article
MSC:
62F10,
62J02,
62K05,
62K99,
62P99,
65C99 | MR 1185799 | Zbl 0764.62065 | DOI: 10.21136/AM.1992.104522
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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
Summary:
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.
References:
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