Algorithm 1.

Low-Rank Total Variation (LRTV) for MR Image Super-Resolution

Input: Low-resolution image T;

Output: Reconstructed high-resolution image X;

Initialize: X = upsample (T)a, Mi = 0, Yi = 0, i = 1,2,3

Repeat

1. Update X based on Eq. (9);

2. Update M based on Eq. (11);

3. Update Y based on Eq. (12);

4. Until difference in the cost function (Eq. (8)) is less than ε;

End

^aThe upsample(·) operator is implemented by nearest-neighbor interpolation.