title: Classification of complex Wishart matrices with a diffusion-reaction system guided by stochastic distances.
abstract: We propose a new method for polarimetric synthetic aperture radar (PolSAR) imagery classification based on stochastic distances in the space of random matrices obeying complex Wishart distributions. Given a collection of prototypes [Formula: see text] and a stochastic distance d(.,.), we classify any random matrix X using two criteria in an iterative set-up. First, we associate X with the class which minimizes the weighted stochastic distance w(m)d(X,Z(m)), where the positive weights w(m) are computed to max- imize the class discrimination power. Second, we improve the result by embedding the classification problem into a diffusion-reaction partial differential system where the diffusion term smooths the patches within the image, and the reaction term tends to move the pixel values towards the closest class prototype. In particular, the method inherits the benefits of speckle reduction by diffusion-like methods. Results on synthetic and real PolSAR data show the performance of the method.
authors.affiliation: CTIM, Dpto. de Ingeniería Electrónica y Automática, Universidad de Las Palmas de G.C., Campus de Tafira, 35017, Spain luis.gomez@ulpgc.es.
authors.forename: Luis
authors.identifier: http://orcid.org/0000-0002-2798-6223
authors.initials: L
authors.lastname: Gomez
authors.affiliation: CTIM, Dpto. de Informática y Sistemas, Universidad de Las Palmas de G.C., Campus de Tafira, 35017, Spain.
authors.forename: Luis
authors.initials: L
authors.lastname: Alvarez
authors.affiliation: CTIM, Dpto. de Informática y Sistemas, Universidad de Las Palmas de G.C., Campus de Tafira, 35017, Spain.
authors.forename: Luis
authors.identifier: http://orcid.org/0000-0002-7176-0483
authors.initials: L
authors.lastname: Mazorra
authors.affiliation: Laboratório de Computação Científica e Análise Numérica. Universidade Federal de Alagoas, Av. Lourival Melo Mota, s/n, 57072-900 Maceió, AL, Brazil.
authors.forename: Alejandro C
authors.identifier: http://orcid.org/0000-0002-8002-5341
authors.initials: AC
authors.lastname: Frery
keywords: PolSAR images; classification; diffusion–reaction system