Geodesic
3-dimensional multivertex reconstruction from 2-dimensional tracks observations using likelihood inference
Applications of Mathematics, Tome 37 (1992) no. 6, pp. 437-452.

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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.
DOI : 10.21136/AM.1992.104522
Classification : 62F10, 62J02, 62K05, 62K99, 62P99, 65C99
Keywords: 3-dimensional multivertex reconstruction; 2-dimensional tracks observations; projections; reconstruction of vertices; noisy observations; likelihood inference for mixtures 
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     title = {3-dimensional multivertex reconstruction from 2-dimensional tracks observations using likelihood inference},
     journal = {Applications of Mathematics},
     pages = {437--452},
     publisher = {mathdoc},
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Chernov, N. I.; Ososkov, G. A.; Pronzato, L. 3-dimensional multivertex reconstruction from 2-dimensional tracks observations using likelihood inference. Applications of Mathematics, Tome 37 (1992) no. 6, pp. 437-452. doi : 10.21136/AM.1992.104522. http://geodesic.mathdoc.fr/articles/10.21136/AM.1992.104522/

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