Mathematical Problems in Engineering

Research Article

Image Denoising via Asymptotic Nonlocal Filtering

Table 2

PSNR and MSSIM comparisons of image denoising results, MSSIM results are shown in brackets (The better indexes are displayed in bold and our indexes are displayed in italic font).
Test imageTest model
LenaNLM31.39 (0.832)27.74 (0.700)26.60 (0.630)25.50 (0.568)23.98 (0.462)22.76 (0.377)
iPPB31.69 (0.846)28.60 (0.747)27.68 (0.700)26.81 (0.652)25.35 (0.565)24.23 (0.487)
SSIM-NLM31.35 (0.871)27.14 (0.762)26.36 (0.744)25.71 (0.728)24.72 (0.699)24.01 (0.675)
MSNLM31.44 (0.851)28.60 (0.782)27.66 (0.750)26.91 (0.719)25.72 (0.660)24.77 (0.603)
BM3D33.05 (0.877)29.86 (0.815)29.05 (0.799)28.27 (0.780)26.97 (0.743)25.95 (0.709)
-ANLF32.33 (0.863) 29.34 (0.792) 28.19 (0.759) 27.41 (0.728) 25.99 (0.669) 24.85 (0.615)
SSIM-ANLF31.07 (0.854) 29.11 (0.812) 28.29 (0.794) 27.58 (0.777) 26.38 (0.748)25.40 (0.721)
RiceNLM30.63 (0.829)25.45 (0.704)23.41 (0.623)22.01 (0.549)20.36 (0.432)19.43 (0.351)
iPPB30.17 (0.822)26.74 (0.740)25.55 (0.703)24.62 (0.665)21.92 (0.537)20.24 (0.427)
SSIM-NLM28.07 (0.766)26.53 (0.731)25.61 (0.704)24.71 (0.675)23.73 (0.643)22.83 (0.611)
MSNLM29.34 (0.803)25.75 (0.720)24.56 (0.682)23.57 (0.644)22.07 (0.573)21.04 (0.510)
BM3D30.28 (0.820)27.26 (0.760)26.15 (0.728)25.32 (0.703)23.97 (0.658)22.85 (0.614)
-ANLF29.93 (0.804) 27.29 (0.748) 26.02 (0.712) 24.83 (0.674) 22.82 (0.593) 21.41 (0.522)
SSIM-ANLF29.97 (0.808) 27.47 (0.760)26.42 (0.734)25.50 (0.707)24.03 (0.662)22.91 (0.622)
HouseNLM32.14 (0.834)27.71 (0.697)25.99 (0.625)25.00 (0.559)23.26 (0.446)22.03 (0.360)
iPPB32.36 (0.844)29.00 (0.762)27.78 (0.710)26.69 (0.658)24.71 (0.549)23.54 (0.477)
SSIM-NLM30.04 (0.824)28.68 (0.800)25.50 (0.739)24.71 (0.719)23.58 (0.684)22.83 (0.656)
MSNLM31.51 (0.846)28.42 (0.783)27.30 (0.750)26.37 (0.716)24.92 (0.649)23.83 (0.585)
BM3D33.77 (0.873)30.65 (0.826)29.69 (0.812)28.74 (0.794)27.16 (0.756)25.87 (0.720)
-ANLF32.56 (0.851) 29.39 (0.791) 28.20 (0.760) 27.19 (0.729) 25.53 (0.667) 24.24 (0.608)
SSIM-ANLF31.91 (0.846) 29.63 (0.815) 28.71 (0.803) 27.95 (0.784) 26.66 (0.755) 25.53 (0.726)
ParrotNLM33.18 (0.875)29.10 (0.730)27.70 (0.656)26.52 (0.586)24.64 (0.466)23.23 (0.373)
iPPB33.46 (0.889)30.08 (0.797)29.00 (0.748)27.96 (0.694)26.33 (0.589)24.80 (0.487)
SSIM-NLM33.24 (0.916)30.38 (0.873)29.26 (0.856)28.22 (0.841)25.96 (0.794)25.05 (0.766)
MSNLM33.28 (0.904)30.00 (0.841)28.85 (0.807)27.90 (0.772)26.69 (0.706)25.72 (0.648)
BM3D34.84 (0.921)31.41 (0.874)30.46 (0.863)29.58 (0.845)28.21 (0.814)27.11 (0.783)
-ANLF34.11 (0.913) 30.85 (0.866) 29.66 (0.840) 28.67 (0.816) 27.09 (0.765) 25.98 (0.716)
SSIM-ANLF33.19 (0.911) 30.87 (0.878)29.92 (0.867)29.08 (0.855)27.68 (0.835)26.61 (0.814)
HillNLM29.15 (0.746)26.03 (0.600)25.12 (0.538)24.40 (0.487)23.27 (0.401)22.35 (0.333)
iPPB29.42 (0.762)26.81 (0.634)25.87 (0.583)25.17 (0.543)24.09 (0.467)23.24 (0.405)
SSIM-NLM29.49 (0.771)26.65 (0.643)25.23 (0.587)24.62 (0.562)24.08 (0.542)23.54 (0.521)
MSNLM28.93 (0.736)26.66 (0.642)26.00 (0.613)25.46 (0.585)24.68 (0.540)24.04 (0.498)
BM3D30.72 (0.804)27.99 (0.707)27.19 (0.675)26.52 (0.647)25.43 (0.601)24.58 (0.565)
-ANLF29.97 (0.775) 27.32 (0.671) 26.46 (0.633) 25.79 (0.601) 24.73 (0.547) 23.92 (0.504)
SSIM-ANLF29.55 (0.766) 27.19 (0.660) 26.51 (0.639) 25.89 (0.622) 24.96 (0.574) 24.30 (0.540)
FlowerNLM30.12 (0.847)25.91 (0.681)24.64 (0.604)23.71 (0.537)22.41 (0.429)21.48 (0.350)
iPPB30.08 (0.861)27.01 (0.744)25.87 (0.686)24.91 (0.629)23.41 (0.527)22.43 (0.445)
SSIM-NLM29.80 (0.882)26.31 (0.770)25.38 (0.738)24.69 (0.713)22.76 (0.626)22.27 (0.597)
MSNLM29.43 (0.856)26.25 (0.757)25.33 (0.716)24.59 (0.673)23.62 (0.607)22.88 (0.550)
BM3D31.90 (0.902)28.25 (0.818)27.14 (0.788)26.31 (0.759)25.02 (0.708)24.03 (0.665)
-ANLF30.99 (0.886) 27.65 (0.793) 26.49 (0.749) 25.55 (0.708) 24.15 (0.636) 23.16 (0.575)
SSIM-ANLF30.50 (0.879) 27.66 (0.806) 26.56 (0.771) 25.76 (0.750) 24.45 (0.702) 23.53 (0.660)