MR-AMP algorithms

This toolbox is to implement the multi-resolution compressed sensing reconstruction via approximate message passing (MR-AMP) proposed in the paper "Multi-resolution compressed sensing reconstruction via approximate message passing" (http://arxiv.org/abs/1508.02454).

Two different multi-resolution approaches are proposed, i.e., transform domain and spatial domain.

• Transform domain: For transform domain approach, please find the demo file "DCT_WT_Demo.m" in the "demo" folder.

• Spatial domain: For spatial domain approach, please find the file "TVAMP_Demo.m" in the "demo" folder.

• Comparison with TVAL3: For the comparison between TVAL3 and AMP-TV-2D, please refer to "tval3_vs_tvamp.m" in the "demo" folder. You can download TVAL3 toolbox here http://www.caam.rice.edu/~optimization/L1/TVAL3/ , and need to replace the TVAL3.m in the “solver” folder in the TVAL3 toolbox with TVAL3.m in our "solver" folder, since we aim to find the optimal slack parameters for TVAL3.