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What is denoising?

What is denoising? Here are some definitions.

Noun
  1. The extraction of a signal from a mixture of signal and noise.
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This method does not solve data fitting problem in an optimal way, as using regularizer for denoising images is not a specialized one.
To highlight the denoising capacity of the wavelet multiresolution analysis, one calculated the kurtosis and the peak value of the original and the reconstructed signals.
If signal denoising is a target application of the filter bank then the decimators can be removed and filters P and U upsampled, resulting in an undecimated transform.
The image denoising is represented using three techniques namely spatial domain, transform domain, and dictionary learning based on wavelet to represent the image.

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