Magn Reson Imaging. 2007 May;25(4):445-8. Epub 2007 Jan 26.

Resolution and uncertainty of Laplace inversion spectrum.

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Schlumberger-Doll Research, Ridgefield, CT 06877, USA. ysong@slb.com

Abstract

Laplace inversion has been widely used in analyzing nuclear magnetic resonance data to obtain a spectrum of decay time constant, such as the T(2) spectrum. However, due to the ill-conditioned nature of such inversion, it is difficult to determine the reliability and error of the resulting spectrum. This article describes methods used to analyze resolution and to obtain bounds of integral quantities of the spectrum.

PMID:: 17466760; [PubMed - indexed for MEDLINE]

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Resolution and uncertainty of Laplace inversion spectrum.

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Abstract

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