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Table 1 Performance of the proposed denoising filter in comparison with other ADFs

From: Geometric nonlinear diffusion filter and its application to X-ray imaging

Images Matrix size NERR NMSE SNR gain β Computation time (s)
Shepp-Logan
Phantom
512 × 512 0.979
(0.731)
[0.927]
0.0885
(0.364)
[0.196]
3.40
(2.43)
[2.34]
0.987
(0.858)
[0.964]
0.428
(1.050)
[0.863]
Mouse
Chest
2240 × 2240 0.942
(0.904)
[0.903]
0.206
(0.393)
[0.488]
2.10
(1.80)
[1.74]
0.148
(0.271)
[0.113]
8.072
(19.17)
[15.45]
Micro-CT
Sagittal
512 × 512    3.46
(2.92)
[3.26]
0.809
(0.886)
[0.986]
0.484
(1.26)
[0.781]
Micro-CT
Coronal
1024 × 1024    2.07
(2.05)
[2.00]
0.894
(0.914)
[0.902]
1.723
(3.989)
[3.139]
Micro-CT
Axial
512 × 512    2.19
(1.75)
[1.36]
0.736
(0.803)
[0.936]
0.470
(1.01)
[0.949]
Human
Chest
3072 × 3072 0.782
(0.778)
[0.747]
0.376
(0.437)
[0.470]
1.79
(1.65)
[1.59]
0.163
(0.174)
[0.166]
12.94
(34.69)
[26.57]
  1. ( ) represents the results obtained with Weickert ADF.
  2. [ ] represents the results obtained with Perona-Malik ADF.