MRI RECONSTRUCTION

Compressed Sensing Reconstruction With Motion Estimation/Compensation

This package implements with the GW-CS reconstruction method described in [1] with the posterior improvements of the Jacobian Weighted temporal Total Variation (JW-tTV) introduced in [2].

[1] Royuela-del-Val, J., Cordero-Grande, L., Simmross-Wattenberg, F., Martín-Fernández, M. and Alberola-López, C. (2016), Nonrigid groupwise registration for motion estimation and compensation in compressed sensing reconstruction of breath-hold cardiac cine MRI. Magn Reson Med, 75: 1525–1536. doi: 10.1002/mrm.25733

[2] Royuela-del-Val, J., Cordero-Grande, L., Simmross-Wattenberg, F., Martín-Fernández, M. and Alberola-López, C. (2016), Jacobian weighted temporal total variation for motion compensated compressed sensing reconstruction of dynamic MRI. Magn Reson Med. doi: 10.1002/mrm.26198

[code] [data]


GROUPWISE TEMPORAL REGISTRATION

This package contains only the Gropwise Temporal Registration method used in [1] and [2] for the Motion Estimation step and is based on previous contributions by Santiago Sanz Estébanez and Lucilio Cordero Grande

[code] [data]


α-STABLE DISTRIBUTIONS

Libstable: Fast, Parallel and High-Precision Computation of alpha-Stable Distributions in R, C/C++ and MATLAB.

J. Royuela-del-Val, F. Simmross-Wattenberg, C. Alberola-López, “Libstable: Fast, parallel and high-precision computation of α-stable distributions in R, C/C++ and MATLAB,“ Journal of Statistical Software (in press).

C/C++ library with MATLAB front-end [Download]

R package [Download]

MATLAB front-end with precompiled mex files for Windows systems (.mexw32 and .mexw64): [Download]

Publication replication material [Download] [README file]

Precomputed replication data [Download]

α-stable distributions are a family of well-known probability distributions. However, the lack of closed analytical expressions hinders their application. Libstable consists of a C/C++ library and a MATLAB front-end that permits fully parallelized, fast and high precision evaluation of density, distribution and quantile functions (PDF, CDF and CDF-1 respectively), random variable generation and parameter estimation of α-stable distributions in their whole parameter space. The library can be easily integrated on third party developments.

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