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RLSQ: T 1 , T 2 , and ρ calculations, combining ratios and least squares
Author(s) -
in den Kleef J. J. E.,
Cuppen J. J. M.
Publication year - 1987
Publication title -
magnetic resonance in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.696
H-Index - 225
eISSN - 1522-2594
pISSN - 0740-3194
DOI - 10.1002/mrm.1910050602
Subject(s) - pixel , sequence (biology) , nonlinear system , basis (linear algebra) , least squares function approximation , algorithm , relaxation (psychology) , computer science , physics , mathematics , nuclear magnetic resonance , artificial intelligence , chemistry , geometry , quantum mechanics , statistics , psychology , social psychology , biochemistry , estimator
A method is proposed for calculating images of spin density p and relaxation times T 1 T 2 from MR imaging sequencies with the following characteristics: • it avoids nonlinear iterative techniques and is consequently sufficiently fast to allow calculation of p , T 1 and T 2 on a pixel by pixel basis routinely; • it uses all available data simultaneously in an approximately optimal fashion.The method is applied to the combined SE + IR sequence but can be used for other acquisition Schemes as Well. © Academic Press, Inc.

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