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Purpose of the hyperparameters
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Purpose of the regularization
Goal of the regularization :
Reduce the noise
(to get the homogenous regions)
Preserve the discontinuities
(to get interesting details and edges)
To do so, we use a
-function :
The gradients increase
U(X)
, because
is growing : noise amplification is limited.
High gradients (edges) are preserved because
is growing slower beyond a fixed threshold.
To make this method work,
must verify some properties :
continuous and strictly decrasing on
Examples of
functions generally used :
André Jalobeanu - 24 Aug
1998