publication . Article . Other literature type . 2017

Obtaining sparse distributions in 2D inverse problems.

Reci, A; Sederman, Andy; Gladden, Lynn;
Open Access
  • Published: 27 Jul 2017 Journal: Journal of Magnetic Resonance, volume 281, pages 188-198 (issn: 1090-7807, Copyright policy)
  • Publisher: Elsevier BV
  • Country: United Kingdom
Abstract
The mathematics of inverse problems has relevance across numerous estimation problems in science and engineering. L1 regularization has attracted recent attention in reconstructing the system properties in the case of sparse inverse problems; i.e., when the true property sought is not adequately described by a continuous distribution, in particular in Compressed Sensing image reconstruction. In this work, we focus on the application of L1 regularization to a class of inverse problems; relaxation-relaxation, T1–T2, and diffusion-relaxation, D–T2, correlation experiments in NMR, which have found widespread applications in a number of areas including probing surfac...
Subjects
free text keywords: L(1) regularization, inverse problems, 2D NMR correlation experiments, 2D inverse Laplace transformation, Nuclear and High Energy Physics, Biophysics, Biochemistry, Condensed Matter Physics
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Other literature type . 2017
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