| Title:
|
3-dimensional multivertex reconstruction from 2-dimensional tracks observations using likelihood inference (English) |
| Author:
|
Chernov, N. I. |
| Author:
|
Ososkov, G. A. |
| Author:
|
Pronzato, L. |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
37 |
| Issue:
|
6 |
| Year:
|
1992 |
| Pages:
|
437-452 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
3-dimensional multivertex reconstruction |
| Keyword:
|
2-dimensional tracks observations |
| Keyword:
|
projections |
| Keyword:
|
reconstruction of vertices |
| Keyword:
|
noisy observations |
| Keyword:
|
likelihood inference for mixtures |
| MSC:
|
62F10 |
| MSC:
|
62J02 |
| MSC:
|
62K05 |
| MSC:
|
62K99 |
| MSC:
|
62P99 |
| MSC:
|
65C99 |
| idZBL:
|
Zbl 0764.62065 |
| idMR:
|
MR1185799 |
| DOI:
|
10.21136/AM.1992.104522 |
| . |
| Date available:
|
2008-05-20T18:44:27Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104522 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[8] Torsney B.: Computing optimizing distributions with applications in design, estimation and image processing.Optimal Design and Analysis of Experiments (Y. Dodge, V. V. Fedorov and H. P. Wynn, eds.), North-Holland, Amsterdam, 1988, pp. 361-370. |
| Reference:
|
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| . |
