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Table 4 Computation times for interlaced BI-RL with diagonally-down-sampled blocks for the diagonal deblurring and their smallest RSE results NB BP BI RSE IN TC 1 n.a.a

Interlaced BI-RL with diagonally-down-sampled blocks for the diagonal deblurring did not accelerate the iteration as much as interlaced BI-RL with rectangularly-down-sampled blocks did for the Gaussian deblurring.

Here, ({mathcal T}_{i}) is the blurring transform associated with the Gaussian PSF k G and Λ i. Table 4 shows the same data as Table 3 for diagonally-down-sampled blocks for the diagonal deblurring.

On the other hand, one round of interlaced BI-RL (the for-loop in steps I3, I4, and I5) with pixel-wise computations took 4.84 s for 4×4 rectangularly-down-sampled blocks for Gaussian deblurring ((|{mathcal S}_{mathbf {k}_{G}}| = 441)) and 0.88 s for 8 diagonally-down-sampled blocks for the diagonal deblurring ((|{mathcal S}_{mathbf {k}_{D}}| = 61)).

a Diagonal blocks for the Gaussian deblurring and b rectangular blocks for the diagonal deblurring.

We also conducted simulation studies on separated BI-RL with 'improperly chosen blocks.' Figure 16 shows deblurred images by separated BI-RL with diagonal blocks for the Gaussian deblurring (a) and rectangular blocks for the diagonal deblurring (b).

These results show that, in case when the formula (11) is used for the combining of deblurred block images, the shape of blocks is important for the diagonal deblurring but not for the Gaussian deblurring.

In separated BI-RL with diagonal blocks for diagonal deblurrings, the test image did not affect block artifacts.

In separated BI-RL with diagonal blocks for diagonal deblurrings, the noise level did not affect block artifacts.

We see strong correlation between samples for all methods (the large blocks along the diagonal).

The modules should show up as blocks on the diagonal, while promiscuous affiliations are off-diagonal terms.