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Table 1 Summary of the PSENLM

From: Brain MR image denoising for Rician noise using pre-smooth non-local means filter

PSENLM1

PSENLM2

(1) Extract background

(1) Transform noisy image by the forward variance-stabilization transformation

(2) Compute the noise variance σ 2 according Eq. (5)

(2) Smooth the transformed image

(3) Compute the squared magitude of noisy image

(3) Compute the weigh term from the smoothed image

(4) Smooth the squared magitude of noisy image

(4) Obtained final result by the inverse variance-stabilization transforming of the NLM denoising result

(5) Compute the weigh term from the smoothed image

 

(6) Correct bias by subtracting 2σ 2 from the NLM denoising result. The final result is obtained by squared root of the bias correction