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with .
The regularization by the significant structures leads to:
The basic idea of our method consists of detecting, at each scale,
structures of a given size in the residual and putting
them in the restored image
. The process finishes when
no more structures are detected. Then, we have separated the image
into two images
and
.
is
the restored image, which does not contain any noise, and
is
the final residual which does not contain any structure. R is our
estimation of the noise
.