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Computer simulations demonstrate improved image smoothing with a rational filter in uniform areas and details.
The classical problem of edge-preserving image smoothing is coped with by exploiting the properties of a rational filter. The proposed operator acts as a lowpass linear filter in uniform image areas; in presence of a detail, the coefficients of the pixels which are involved in the luminance transition are suitably modified. Some computer simulations show the capabilities of this technique.
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Giovanni Ramponi (2002) studied this question.
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