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Table 1 Parameterized setup for the wavelet profile of BM3D

From: Improved BM3D image denoising using SSIM-optimized Wiener filter

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  Notations Meaning   σ≤40 σ>40
Parameters for \(\tau ^{ht}_{2D}\) 2D transform used 2D-Bior1.5 2D-Bior1.5 2D-DCT
step 1 (ht) \(N^{ht}_{1}\) Patch size 8 8 12
  \(N^{ht}_{2}\) Maximum number of 16 16 16
   similar patches retained  
  \(N^{ht}_{step}\) Step of ref. patch 6 3 4
  \(N^{ht}_{S}\) Size of search window 25 39 39
  \(N^{ht}_{FS}\) Exhaustive search window size 6 1 1
  \(N^{ht}_{PR}\) Predictive search window size 3 - -
  β ht Parameters for Kaiser window 2.0 2.0 2.0
  λ 2D Pre-processing threshold 0 0 2.0
  λ 3D Hard threshold 2.7 2.7 2.8
  \(\tau ^{ht}_{match}\) Similarity threshold for patches 2500 2500 5000
Parameters for \(\tau ^{wie}_{2D}\) 2D transform used 2D-DCT 2D-DCT 2D-DCT
step 2 (wie) \(N^{wie}_{1}\) Patch size 8 8 11
  \(N^{wie}_{2}\) Maximum number of 16 32 32
   similar patches retained  
  \(N^{wie}_{step}\) Step of ref. patch 5 3 6
  \(N^{wie}_{S}\) Size of search window 25 39 39
  \(N^{wie}_{FS}\) Exhaustive search window size 5 1 1
  \(N^{wie}_{PR}\) Predictive search window size 2 - -
  \(\tau ^{wie}_{match}\) Similarity threshold for patches 400 400 3500
  β wie Parameters for Kaiser window 2.0 2.0 2.0
Common    1D-Haar 1D-Haar 1D-Haar