Uniform Penalty inversion of two-dimensional NMR relaxation data
نویسندگان
چکیده
منابع مشابه
Uniform Penalty inversion of two-dimensional NMR Relaxation data
The inversion of two-dimensional NMR data is an ill-posed problem related to the numerical computation of the inverse Laplace transform. In this paper we present the 2DUPEN algorithm that extends the Uniform Penalty (UPEN) algorithm [Borgia, Brown, Fantazzini, Journal of Magnetic Resonance, 1998] to two-dimensional data. The UPEN algorithm, defined for the inversion of one-dimensional NMR relax...
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NMR relaxation data and those from many other physical measurements are sums of exponentially decaying components, combined with some unavoidable measurement noise. When decay data are inverted in order to give quasi-continuous distributions of relaxation times, some smoothing of the distributions is normally implemented to avoid excess variation. When the same distribution has a sharp peak and...
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Remnant magnetization causes a change in the direction and intensity of the magnetization vector. If inversion is performed regardless of remnance, in some cases it may have unreliable and misleading results. For inversion with respect to remnant magnetization, several solutions have been proposed so far, one of which is to convert the data of total magnetic field into data that is independent ...
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متن کاملUniform-penalty inversion of multiexponential decay data. II. Data spacing, T(2) data, systemic data errors, and diagnostics.
The basic method of UPEN (uniform penalty inversion of multiexponential decay data) is given in an earlier publication (Borgia et al., J. Magn. Reson. 132, 65-77 (1998)), which also discusses the effects of noise, constraints, and smoothing on the resolution or apparent resolution of features of a computed distribution of relaxation times. UPEN applies negative feedback to a regularization pena...
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ژورنال
عنوان ژورنال: Inverse Problems
سال: 2016
ISSN: 0266-5611,1361-6420
DOI: 10.1088/1361-6420/33/1/015003