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Tutorial (TBD)

Noise removal is a complex subject, as it is the noise in a image.

Until there is a real tutorial, lets suggest a workflow for the usual target, noise free image with minimum blur.


Suggested workflow

  • For images with only low intensity noise test:
    • Anisotropic
  • For low/medium noise images try with one of the following:
    • DCT sigma up to 1000 and cell size 16.
    • NLM enhanced, learn radius 16 and sigma up to 20.
  • For high noise images without color noise, use a two step workflow:
    1. NLM enhanced, learn radius 16 and sigma over 20
    2. If the result shows grain near edges or in plain areas, filter it with CWT (hard/soft) with low noise sigma.
      Take into account that hard threshold blur less than soft threshold but are more prone to artifacts.
  • For images with color noise or highly compressed jpeg, the workflow could be:
    1. Using colorspace YCbCr or CIELab, apply DWT (soft) or CWT (soft) on the color channels Cb,Cr or a,b.
    2. Filter the result with NLM enhanced, learn radius 16
    3. If the result shows grain near edges or in plain areas, filter it with CWT (hard/soft) with low noise sigma.
      Take into account that hard threshold blur less than soft threshold but are more prone to artifacts.

Note on artifacts. (Wavelets and DCT)

Most denoising methods are proportional in the way it works, more denoising mean more blur or removed details, but there are two exceptions, wavelets and DCT.

Due to its nature, wavelets and DCT could produce artifacts depending on the noise sigma used. Artifacts are things that appear in the result which are not in the original image, usually near sharp edges and/or in plain areas.

In wavelets, blur and artifacts are related, more blur means less artifacts.

  • Hard thresholding produce more artifacts and less blur than Soft thresholding.
  • CWT produce more artifacts and less blur than DWT(Q3).
  • DWT with less quality produces more artifact and less blur.

Artifacts in plain areas, not related with sharp edges, vanish when the noise sigma increases, but those related with sharp edges could ever grow when the noise sigma grows.

In DCT, artifacts, which are usually horizontal or vertical, appear when the noise sigma is too high.


Note on the difference screen

The target of a denoising algorithm is to remove noise without removing or blurring information, such as edges, details etc.

The difference screen helps to decide if the denoise are removing or blurring information.

If the image or any ghost of it or its edges, can't be seen in the difference screen, the denoise is a perfect one. But this is not always possible, it depends on the kind noise and the algorithms used.

Even if the denoise is not a perfect one, the difference screen can be used to analyze edge processing.

  • If the edges of the image appear dark colored it is bad. Dark colored edges means that the difference between the source and the processed image is high and you are blurring the edges.
  • If the edges of the image are not visible it is good.
  • If the edges of the image appear light colored with darker areas around it is because you are using an algorithm which avoid processing the edges, like NLM with the conservative switch or anisotropic diffusion.
DifferenceResultComment
cars nlm diff cars nlm
(Difference level 22)

Cars example. NLM 20 7 3

No edges or details perceptible in the difference screen.
roof ani diff roof ani
Difference level 17

Roof example. Anisotropic 10 5 Curvature

Edges of the image appear light colored with darker areas around. Near white areas means the result and the original are near equal in those areas.
roof nlm diff roof nlm
Difference level 34

Roof example. NLM 20 7 3

The upper part of the lightning rod appears in the difference, which means it will be blurred.
roof dct diff roof dct
Difference level 39

Roof example. DCT 800 16

The edges of the roof are visible, which means it will be blurred.
roof cwt diff roof cwt
Difference level 43

Roof example. CWT 400 Soft


All the edges of the roof and the lightning rod are clearly visible, which means those will be clearly blurred.

There are more examples in the Comparing algorithms with Lena image arrow