表 2. Comparisons of image reconstruction PSNR (dB) and HFEN using different sampling modes in various sampling rates (σ = 35) .

不同采样方式在不同采样率下的图像重构 PSNR（dB）与 HFEN 比较（σ = 35）

图像	模型	2D 变密度随机采样			伪射线采样
		R = 5%	R = 10%		l = 55	l = 80
		PSNR ± Std/HFEN ± Std	PSNR± Std/HFEN ± Std		PSNR ± Std/HFEN ± Std	PSNR ± Std/HFEN ± Std
BMR2	Zero-filling	19.38 ± 0.17/4.75 ± 0.02	22.79 ± 0.08/3.90 ± 0.01		23.24 ± 0.23/5.16 ± 0.01	26.57 ± 0.18/4.37 ± 0.01
	DLMRI	33.57 ± 0.04/2.16 ± 0.02	34.29 ± 0.02/1.88 ± 0.01		31.98 ± 0.03/2.62 ± 0.02	32.29 ± 0.03/2.23 ± 0.01
	TLMRI	33.19 ± 0.03/2.19 ± 0.01	35.07 ± 0.04/1.65 ± 0.01		32.36 ± 0.03/2.75 ± 0.01	34.27 ± 0.05/2.11 ± 0.02
	DTKMRI	35.74 ± 0.02/1.55 ± 0.01	37.14 ± 0.03/1.21 ± 0.01		34.27 ± 0.03/2.10 ± 0.01	35.95 ± 0.04/1.69 ± 0.02
Brain	Zero-filling	16.55 ± 0.03/6.52 ± 0.01	18.70 ± 0.08/5.35 ± 0.02		20.18 ± 0.09/7.24 ± 0.01	21.94 ± 0.19/6.14 ± 0.01
	DLMRI	31.35 ± 0.05/2.78 ± 0.02	33.02 ± 0.03/2.28 ± 0.02		29.59 ± 0.02/3.71 ± 0.01	30.96 ± 0.03/3.01 ± 0.02
	TLMRI	31.17 ± 0.06/2.89 ± 0.02	33.63 ± 0.03/1.91 ± 0.01		29.08 ± 0.04/4.12 ± 0.02	32.01 ± 0.02/2.92 ± 0.01
	DTKMRI	33.12 ± 0.04/2.01 ± 0.01	35.80 ± 0.03/1.19 ± 0.02		31.11 ± 0.04/2.85 ± 0.02	33.57 ± 0.02/2.28 ± 0.02
t2axialbrain	Zero-filling	20.10 ± 0.13/5.24 ± 0.01	22.30 ± 0.08/4.36 ± 0.01		24.64 ± 0.01/5.79 ± 0.01	26.22 ± 0.04/5.09 ± 0.01
	DLMRI	32.45 ± 0.03/2.82 ± 0.02	33.41 ± 0.03/2.21 ± 0.02		30.36 ± 0.03/3.50 ± 0.02	31.28 ± 0.03/2.95 ± 0.02
	TLMRI	32.54 ± 0.04/2.63 ± 0.02	34.44 ± 0.02/1.91 ± 0.01		30.77 ± 0.03/3.64 ± 0.02	32.60 ± 0.04/2.78 ± 0.02
	DTKMRI	34.41 ± 0.03/1.92 ± 0.02	36.06 ± 0.02/1.40 ± 0.01		32.05 ± 0.02/3.16 ± 0.01	33.87 ± 0.03/2.33 ± 0.02
foot-012	Zero-filling	14.60 ± 0.03/7.31 ± 0.01	17.65 ± 0.03/5.95 ± 0.02		20.48 ± 0.13/8.08 ± 0.01	21.82 ± 0.21/7.04 ± 0.02
	DLMRI	29.68 ± 0.03/3.60 ± 0.02	30.83 ± 0.05/2.67 ± 0.02		26.91 ± 0.03/5.47 ± 0.03	28.31 ± 0.03/4.29 ± 0.03
	TLMRI	30.11 ± 0.03/3.33 ± 0.02	31.90 ± 0.03/2.29 ± 0.01		27.02 ± 0.03/5.55 ± 0.03	29.65 ± 0.02/3.93 ± 0.01
	DTKMRI	30.97 ± 0.03/2.60 ± 0.02	32.91 ± 0.02/1.92 ± 0.01		28.41 ± 0.03/4.22 ± 0.02	31.18 ± 0.02/2.76 ± 0.01
Pulmonaryangio	Zero-filling	19.84 ± 0.07/3.96 ± 0.01	23.83 ± 0.07/3.28 ± 0.01		25.97 ± 0.06/4.32 ± 0.01	27.63 ± 0.15/3.73 ± 0.01
	DLMRI	33.38 ± 0.04/2.46 ± 0.02	34.27 ± 0.03/2.18 ± 0.01		30.55 ± 0.03/3.14 ± 0.02	31.98 ± 0.03/2.60 ± 0.02
	TLMRI	34.14 ± 0.04/2.05 ± 0.02	35.38 ± 0.03/1.81 ± 0.01		30.74 ± 0.04/3.26 ± 0.02	33.23 ± 0.04/2.46 ± 0.01
	DTKMRI	35.27 ± 0.03/1.89 ± 0.03	36.83 ± 0.02/1.51 ± 0.02		32.07 ± 0.03/2.35 ± 0.02	34.65 ± 0.03/1.94 ± 0.02
herniateddisclspine	Zero-filling	17.02 ± 0.04/4.88 ± 0.01	20.00 ± 0.01/4.10 ± 0.01		23.13 ± 0.13/5.16 ± 0.01	25.48 ± 0.14/4.67 ± 0.01
	DLMRI	31.06 ± 0.04/2.76 ± 0.02	33.54 ± 0.06/2.31 ± 0.02		30.89 ± 0.04/3.33 ± 0.02	32.06 ± 0.04/2.77 ± 0.03
	TLMRI	30.57 ± 0.04/2.83 ± 0.02	34.11 ± 0.05/1.99 ± 0.01		28.79 ± 0.02/3.83 ± 0.02	32.89 ± 0.05/2.56 ± 0.02
	DTKMRI	31.70 ± 0.03/2.64 ± 0.01	35.76 ± 0.03/1.53 ± 0.02		31.28 ± 0.02/3.11 ± 0.03	33.79 ± 0.04/2.23 ± 0.02