3D Wavelet Subbands Mixing for Image Denoising

Figure 1

(a) Usual voxelwise NL-means filter: 2D illustration of the NL-means principle. The restored value of voxel 𝑥_𝑖 (in red) is the weighted average of all intensities of voxels 𝑥_𝑗 in the search volume 𝑉_𝑖, based on the similarity of their intensity neighborhoods 𝐮(𝑁_𝑖) and 𝐮(𝑁_𝑗). In this example, we set 𝑑=1 and 𝑀=8. (b) Blockwise NL-means filter: 2D illustration of the blockwise NL-means principle. The restored value of the block 𝐵_𝑖𝑘 is the weighted average of all the blocks 𝐵_𝑗 in the search volume 𝑉_𝑖𝑘. In this example, we set 𝛼=1 and 𝑀=8.

(a)

(b)