Compressed Sensing MRI Reconstruction from Highly Undersampled -Space Data Using Nonsubsampled Shearlet Transform Sparsity Prior

Table 1

Comparison of the objective assessment indices of CS-MRI reconstruction via NSST-based to compared methods using three different sampling patterns with different sampling rates.

MR images and mask	Indices	Reconstruction methods
		Zero-filling	TV-CG	ODWT	SFLCT	Proposed
T2wBrain_slice_10; using mask_Carteian_040	PSNR	28.9486	33.1252	32.7337	34.1371	36.0823
	TEI	0.4346	0.6417	0.6319	0.6889	0.7486
	SSIM	0.7514	0.8815	0.8610	0.8673	0.9317
	RLNE	0.2378	0.1470	0.1538	0.1308	0.1046
T2wBrain_slice_10; using mask_VDS_2496	PSNR	28.6510	34.0847	33.9880	34.9453	37.4500
	TEI	0.4385	0.6935	0.6722	0.7155	0.7830
	SSIM	0.6166	0.8933	0.8714	0.8686	0.9485
	RLNE	0.2461	0.1316	0.1331	0.1192	0.0894
Water phantom; using mask_VDS_2496	PSNR	26.5477	33.1360	32.5484	33.9574	35.0718
	TEI	0.5916	0.6819	0.6664	0.6913	0.6984
	SSIM	0.6150	0.6165	0.8005	0.8235	0.8296
	RLNE	0.0990	0.0463	0.0496	0.0422	0.0371
Water phantom; using mask_PRS_44_1635	PSNR	23.6072	31.0209	28.6408	30.3416	32.5182
	TEI	0.3537	0.6403	0.6023	0.6616	0.6799
	SSIM	0.5233	0.6321	0.7086	0.7517	0.8090
	RLNE	0.1388	0.0591	0.0778	0.0639	0.0498

Note. mask_Carteian_040 denotes with variable density Cartesian sampling mask in -space with 40% sampling rate, mask_VDS_2496 denotes variable density random sampling mask with 24.96% sampling rate, and mask_PRS_44_1635 denotes pseudoradial 44 lines sampling mask with 16.35% sampling rate.