Gamma mixture modeled with "second kind statistics": application to SAR image processing

SAR images are classically analyzed with the help of Goodman approach and multiplicative noise. By this way, speckle is modeled by a Gamma law (for intensity images). A new approach based on "second kind statistics", J. M. Nicolas et al., (2000), identifies multiplicative noise as a "Mellin convolution", J. M. Nicolas et al., (1998), yielding oversimple expression when texture is not homogeneous. In this article, we propose to use this new approach for solving the problem of binary additive mixture of Gamma law, J. M. Nicolas (2001), and to apply the results to SAR image processing.