论文信息 - Upen2DTool: A Uniform PENalty Matlab tool for inversion of 2D NMR relaxation data

Upen2DTool: A Uniform PENalty Matlab tool for inversion of 2D NMR relaxation data

Abstract The analysis of Nuclear Magnetic Resonance (NMR) relaxation of 1 H nuclei gives fundamental information about the structure of different types of porous media via the determination of 1-dimensional and 2-dimensional (2D) distributions of the typical NMR parameters (longitudinal T 1 and transverse T 2 relaxation times). Despite the great amount of literature available on this topic, only a few open source software are available, usually after a direct request to the authors. This work aims to stimulate the comparison of different approaches by making our open source inversion Matlab Package (Upen2DTool) available, to encourage its application and extension to the various 2D NMR problems. The solution algorithm applies the Uniform PENalty principle and automatically computes locally adapted regularization parameters and approximate solutions. Moreover a Windows binary code is available for testing for non-Matlab users.

[1] P. Basser,et al. Efficient 2D MRI relaxometry using compressed sensing. , 2015, Journal of magnetic resonance.

[2] Paul D. Teal,et al. Adaptive truncation of matrix decompositions and efficient estimation of NMR relaxation distributions , 2015 .

[3] Fabiana Zama,et al. Filtering techniques for efficient inversion of two-dimensional Nuclear Magnetic Resonance data , 2017 .

[4] Lalitha Venkataramanan,et al. Solving Fredholm integrals of the first kind with tensor product structure in 2 and 2.5 dimensions , 2002, IEEE Trans. Signal Process..

[5] Charles Linder,et al. Correction to: Analysis of the Regularization Parameters of Primal–Dual Interior Method for Convex Objectives Applied to 1H Low Field Nuclear Magnetic Resonance Data Processing , 2018, Applied Magnetic Resonance.

[6] Fabiana Zama,et al. I2DUPEN: Improved 2DUPEN algorithm for inversion of two-dimensional NMR data , 2017, Microporous and Mesoporous Materials.

[7] Fabiana Zama,et al. Uniform Penalty inversion of two-dimensional NMR relaxation data , 2016, ArXiv.

[8] D. Bernin,et al. Iterative thresholding algorithm for multiexponential decay applied to PGSE NMR data. , 2013, Analytical chemistry.

[9] L. Gladden,et al. Numerical estimation of relaxation and diffusion distributions in two dimensions. , 2012, Progress in nuclear magnetic resonance spectroscopy.