001094811 001__ 1094811
001094811 003__ SzGeCERN
001094811 005__ 20201104151420.0
001094811 0248_ $$aoai:cds.cern.ch:1094811$$pcerncds:FULLTEXT
001094811 037__ $$aATL-SLIDE-2008-021
001094811 041__ $$aeng
001094811 088__ $$aCERN-ATL-SLIDE-2008-021
001094811 100__ $$aBrückman de Renstrom, P
001094811 245__ $$aLeast Squares Approach to the Alignment of the Generic High Precision Tracking System
001094811 260__ $$c2005
001094811 269__ $$aGeneva$$bCERN$$c14 Sep 2005
001094811 300__ $$amult. p
001094811 336__ $$aSLIDES
001094811 520__ $$aA least squares method to solve a generic alignment problem of high granularity tracking system is presented. The formalism takes advantage of the assumption that the derived corrections are small and consequently uses the first order linear expansion throughout. The algorithm consists of analytical linear expansion allowing for multiple nested fits. E.g. imposing a common vertex for groups of particle tracks is of particular interest. We present a consistent and complete recipe to impose constraints on any set of either implicit or explicit parameters. The baseline solution to the alignment problem is equivalent to the one described in [1]. The latter was derived using purely algebraic methods to reduce the initial large system of linear equations arising from separate fits of tracks and alignment parameters. The method presented here benefits from wider range of applications including problems with implicit vertex fit, physics constraints on track parameters, use of external information to constrain the geometry, etc. The complete formalism is given in [2]. The method has been applied to the full simulation of the ATLAS silicon tracking system. The ultimate goal is to determine ~35,000 degrees of freedom. We present a limited scale exercise exploring various aspects of the solution.
001094811 595__ $$aCERN EDS
001094811 65017 $$2SzGeCERN$$aXX
001094811 6531_ $$9CERN$$aalignment
001094811 6531_ $$9CERN$$aglobal chi2
001094811 6531_ $$9CERN$$aweak modes
001094811 690C_ $$aCERN
001094811 690C_ $$aPUBLATLASSLIDE
001094811 693__ $$aCERN LHC$$eATLAS
001094811 700__ $$0AUTHOR|(CDS)2068171$$9#BEARD#$$aHaywood, S
001094811 710__ $$gATLAS Collaboration
001094811 710__ $$5PH-EP
001094811 7870_ $$iConference Paper$$rPHYSTATOS, pp. 64-67$$w2743147
001094811 859__ [email protected]
001094811 8564_ $$uhttp://documents.cern.ch/cgi-bin/setlink?base=atlasconf&categ=slide&id=slide-2008-021$$yAccess to fulltext
001094811 8564_ $$82263461$$s12359168$$uhttp://cds.cern.ch/record/1094811/files/slide-2008-021 (1).ppt$$ySlides
001094811 916__ $$sn$$w200870
001094811 960__ $$a91
001094811 961__ $$c20100722$$h1334$$lCER01$$x20080318
001094811 963__ $$aPUBLIC
001094811 962__ $$b780058$$noxford20050912
001094811 970__ $$a002748788CER
001094811 980__ $$aPUBLATLASSLIDE