表 3. Comparisons of image reconstruction PSNR (dB) and HFEN using different modes in various noise standard deviations .

不同采样方式在不同噪声标准偏差下的图像重构 PSNR（dB）与 HFEN 比较

图像	模型	2D 变密度随机采样（R = 5%）			伪射线采样（l = 55）
		σ = 15	σ = 25		σ = 15	σ = 25
		PSNR ± Std/HFEN ± Std	PSNR ± Std/HFEN ± Std		PSNR ± Std/HFEN ± Std	PSNR ± Std/HFEN ± Std
BMR2	Zero-filling	19.51 ± 0.05/4.46 ± 0.01	19.45 ± 0.09/4.58 ± 0.02		23.55 ± 0.11/5.02 ± 0.01	23.38 ± 0.13/5.11 ± 0.01
	DLMRI	35.64 ± 0.02/1.77 ± 0.01	34.66 ± 0.03/1.94 ± 0.03		34.22 ± 0.02/2.31 ± 0.02	33.17 ± 0.03/2.48 ± 0.03
	TLMRI	36.28 ± 0.04/1.48 ± 0.01	35.01 ± 0.05/1.82 ± 0.01		34.28 ± 0.03/2.26 ± 0.02	33.29 ± 0.02/2.39 ± 0.02
	DTKMRI	37.51 ± 0.03/1.24 ± 0.02	36.57 ± 0.04/1.41 ± 0.02		36.07 ± 0.03/1.57 ± 0.01	34.91 ± 0.03/1.91 ± 0.02
Brain	Zero-filling	16.89 ± 0.01/6.33 ± 0.01	16.67 ± 0.01/6.42 ± 0.01		20.47 ± 0.06/7.01 ± 0.01	20.35 ± 0.07/7.13 ± 0.01
	DLMRI	33.00 ± 0.03/2.43 ± 0.01	32.22 ± 0.05/2.60 ± 0.02		31.27 ± 0.04/3.31 ± 0.02	30.52 ± 0.03/3.47 ± 0.01
	TLMRI	32.68 ± 0.03/2.27 ± 0.01	31.91 ± 0.04/2.51 ± 0.01		30.39 ± 0.02/3.72 ± 0.02	29.98 ± 0.03/3.91 ± 0.02
	DTKMRI	35.23 ± 0.03/1.64 ± 0.01	34.13 ± 0.03/1.82 ± 0.02		33.24 ± 0.03/2.29 ± 0.02	32.10 ± 0.01/2.57 ± 0.02
t2axialbrain	Zero-filling	20.42 ± 0.08/4.90 ± 0.01	20.23 ± 0.08/5.08 ± 0.01		25.09 ± 0.01/5.68 ± 0.01	24.86 ± 0.01/5.74 ± 0.01
	DLMRI	34.22 ± 0.03/2.42 ± 0.01	33.39 ± 0.04/2.59 ± 0.01		32.09 ± 0.02/3.18 ± 0.02	31.31 ± 0.03/3.31 ± 0.01
	TLMRI	35.29 ± 0.03/1.90 ± 0.01	34.37 ± 0.06/2.31 ± 0.02		32.77 ± 0.02/2.94 ± 0.01	31.63 ± 0.03/3.31 ± 0.01
	DTKMRI	36.76 ± 0.02/1.53 ± 0.01	35.95 ± 0.04/1.71 ± 0.01		34.49 ± 0.02/2.51 ± 0.01	33.13 ± 0.02/2.79 ± 0.02
foot-012	Zero-filling	14.93 ± 0.02/7.05 ± 0.01	14.75 ± 0.02/7.20 ± 0.01		20.91 ± 0.09/8.01 ± 0.01	20.69 ± 0.12/8.05 ± 0.02
	DLMRI	31.09 ± 0.03/3.13 ± 0.02	30.34 ± 0.02/3.45 ± 0.02		28.16 ± 0.03/5.05 ± 0.03	27.53 ± 0.03/5.21 ± 0.03
	TLMRI	32.11 ± 0.02/2.54 ± 0.01	31.23 ± 0.02/2.87 ± 0.02		28.43 ± 0.02/4.63 ± 0.01	27.87 ± 0.03/5.08 ± 0.03
	DTKMRI	33.27 ± 0.02/1.87 ± 0.01	32.28 ± 0.03/2.24 ± 0.01		31.02 ± 0.02/3.18 ± 0.02	30.06 ± 0.02/3.65 ± 0.02
Pulmonaryangio	Zero-filling	20.06 ± 0.05/3.61 ± 0.01	19.94 ± 0.10/3.79 ± 0.02		26.49 ± 0.03/4.19 ± 0.01	26.24 ± 0.03/4.28 ± 0.02
	DLMRI	36.06 ± 0.03/1.82 ± 0.01	35.04 ± 0.05/2.01 ± 0.01		31.95 ± 0.03/2.89 ± 0.02	31.33 ± 0.03/3.12 ± 0.01
	TLMRI	36.89 ± 0.05/1.58 ± 0.02	35.56 ± 0.05/1.92 ± 0.02		31.69 ± 0.01/2.97 ± 0.01	31.29 ± 0.02/3.17 ± 0.03
	DTKMRI	38.27 ± 0.03/1.03 ± 0.02	36.69 ± 0.04/1.54 ± 0.02		33.55 ± 0.02/1.96 ± 0.02	32.91 ± 0.03/2.21 ± 0.02
herniateddisclspine	Zero-filling	17.38 ± 0.03/4.66 ± 0.01	17.15 ± 0.05/4.76 ± 0.01		23.62 ± 0.09/5.05 ± 0.01	23.34 ± 0.13/5.12 ± 0.01
	DLMRI	31.82 ± 0.02/2.37 ± 0.01	31.42 ± 0.02/2.53 ± 0.01		32.00 ± 0.03/3.07 ± 0.01	31.50 ± 0.03/3.19 ± 0.02
	TLMRI	31.28 ± 0.02/2.60 ± 0.01	30.99 ± 0.03/2.71 ± 0.02		29.87 ± 0.02/3.30 ± 0.02	29.35 ± 0.03/3.62 ± 0.02
	DTKMRI	32.97 ± 0.02/1.94 ± 0.01	32.56 ± 0.02/2.11 ± 0.01		33.31 ± 0.02/2.57 ± 0.02	32.56 ± 0.02/2.81 ± 0.01