IEEE Geoscience and Remote Sensing Magazine - September 2013 - 15
Another fact that should be considered when a pdf
model is chosen is the computational cost. Some combinations of estimation criterion and pdf model yield a Bayesian
estimator that can be achieved only numerically [45]. This
fact may prevent from using the filter when huge amounts
of data need to be processed. In this case, a closed form
solution may be preferred, even though a possible loss of
performances may be experienced.
IV. A REVIEW OF DESPECKLING METHODS
A multitude of despeckling filters can be obtained by
combining the different domains of estimation (spa-
tial, homomorphic, wavelet, homomorphic-wavelet),
the estimation criteria, e.g., MMSE, LMMSE, minimum
mean absolute error (MMAE), MAP or non-Bayesian,
and the pdf models. A nonexhaustive review and classification of methods is attempted in the following of
this section.
A. BAyesiAn methods in spAtiAl domAin
Early works on despeckling were deployed in the spatial
domain and were obtained by making assumptions on the
statistical properties of reflectivity and speckle, e.g., pdf
and autocorrelation function.
(a)
(b)
(c)
(d)
FIGuRE 6. Examples of the application of Bayesian estimators in the UDWT domain: (a) original 5-look ERS-2 image and filtered versions
obtained with, (b) Lee refined filter [49], (c) refined C-MAP filter [56], and (d) Rational Laplacian Pyramid filter [59].
September 2013
ieee Geoscience and remote sensing magazine
15
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