@Article{Bom2008a,
author = {Bombrun, Lionel and Beaulieu, Jean-Marie},
title = {Fisher Distribution for Texture Modeling of Polarimetric {SAR} Data},
journal = {IEEE Geoscience and Remote Sensing Letters},
volume = {5},
number = {3},
pages = {512--516},
year = {2008},
month = {July},
abstract = {The multilook polarimetric synthetic aperture radar (PolSAR) covariance matrix is generally modeled by a complex Wishart distribution. For textured areas, the product model is used, and the texture component is modeled by a Gamma distribution. In many cases, the assumption of Gamma-distributed texture is not appropriate. The Fisher distribution does not have this limitation and can represent a large set of texture distributions. As an example, we examine its advantage for an urban area. From a Fisher-distributed texture component, we derive the distribution of the complex covariance matrix for multilook PolSAR data. The obtained distribution is expressed in terms of the KummerU confluent hypergeometric function of the second kind. Those distributions are related to the Mellin transform and second-kind statistics (Log-statistics). The new KummerU-based distribution should provide in many cases a better representation of textured areas than the classic K distribution. Finally, we show that the new model can discriminate regions with different texture distribution in a segmentation experiment with synthetic textured PolSAR images.},
publisher = {IEEE},
url = {https://ieeexplore.ieee.org/abstract/document/4554026},
issn = {1545-598X},
doi = {10.1109/LGRS.2008.923262},
mypdf = {13},
address = {},
keywords = {Classification; complex covariance matrix distribution; covariance matrices; Fisher distributed texture component; Fisher distribution; geophysical signal processing; geophysical techniques; image segmentation; image texture; KummerU; log statistics; Mellin transform; multilook PolSAR covariance matrix; polarimetric SAR data texture modeling; polarimetric synthetic aperture radar; polarimetric synthetic aperture radar (PolSAR) images; radar polarimetry; radar signal processing; remote sensing by radar; second kind KummerU confluent hypergeometric function; second kind statistics; segmentation; statistical distributions; synthetic aperture radar; synthetic textured PolSAR image segmentation; texture; texture distributions; urban area},
openpdf = {https://hal.archives-ouvertes.fr/hal-00350055/},
openid = {HAL archives-ouvertes}
}