Super-Resolution of Magnetic Resonance Images via Convex Optimization with Local and Global Prior Regularization and Spectrum Fitting

Algorithm 2

LRTVG algorithm.

  input: Observed images along multiple dimensions , and their combined spectrum .

  , , and ;

  repeat

 Update based on (14);

 Update based on (15);

 Update based on (16);

 Update based on (17);

 Update based on (18);

 Update based on (19);

 Update based on (20);

 Update based on (21);

  until The cost (13) converges

  output:   and