This package implements with the GW-CS reconstruction method described in  with the posterior improvements of the Jacobian Weighted temporal Total Variation (JW-tTV) introduced in .
 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
 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
GROUPWISE TEMPORAL REGISTRATION
This package contains only the Gropwise Temporal Registration method used in  and  for the Motion Estimation step and is based on previous contributions by Santiago Sanz Estébanez and Lucilio Cordero Grande
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]
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.