Title
Fast MAP Despeckling Based on Laplacian–Gaussian Modeling of Wavelet Coefficients
Abstract
The undecimated wavelet transform and the maximum a posteriori probability (MAP) criterion have been applied to the problem of synthetic-aperture-radar image despeckling. The MAP solution is based on the assumption that wavelet coefficients have a known distribution. In previous works, the generalized Gaussian (GG) function has been successfully employed. Furthermore, despeckling methods can be improved by using a classification of wavelet coefficients according to their texture energy. A major drawback of using the GG distribution is the high computational cost since the MAP solution can be found only numerically. In this letter, a new modeling of the statistics of wavelet coefficients is proposed. Observations of the estimated GG shape parameters relative to the reflectivity and to the speckle noise suggest that their distributions can be approximated as a Laplacian and a Gaussian function, respectively. Under these hypotheses, a closed form solution of the MAP estimation problem can be achieved. As for the GG case, classification of wavelet coefficients according to their texture content may be exploited also in the proposed method. Experimental results show that the fast MAP estimator based on the Laplacian-Gaussian assumption and on the classification of coefficients reaches almost the same performances as the GG version in terms of speckle removal, with a gain in computational cost of about one order of magnitude.
Year
DOI
Venue
2012
10.1109/LGRS.2011.2158798
Geoscience and Remote Sensing Letters, IEEE
Keywords
Field
DocType
geophysical image processing,geophysical techniques,remote sensing by radar,synthetic aperture radar,Gaussian function,Laplacian function,Laplacian-Gaussian modeling,MAP criterion,MAP estimation problem,MAP solution,fast MAP despeckling,generalized Gaussian function,maximum a posteriori probability,synthetic-aperture-radar image despeckling,undecimated wavelet transform,wavelet coefficients classification,wavelet transform,Despeckling,maximum a posteriori probability (MAP) estimation,synthetic aperture radar (SAR) images,undecimated wavelet transform (UDWT)
Computer vision,Gaussian,Artificial intelligence,Maximum a posteriori estimation,Speckle noise,Stationary wavelet transform,Gaussian function,Mathematics,Wavelet,Wavelet transform,Estimator
Journal
Volume
Issue
ISSN
9
1
1545-598X
Citations 
PageRank 
References 
32
1.18
7
Authors
4
Name
Order
Citations
PageRank
Fabrizio Argenti117426.24
Tiziano Bianchi2100362.55
Alessandro Lapini3396.39
Luciano Alparone490180.27