Bom2008a

[Bom2008a]
Fisher Distribution for Texture Modeling of Polarimetric SAR Data

Authors:Bombrun Lionel, Jean-Marie Beaulieu

Journal:IEEE Geoscience and Remote Sensing Letters

 July 2008, vol. 5, issue 3, p. 512–516

ISBN:1545-598X

URL:https://ieeexplore.ieee.org/abstract/document/4554026

DOI:10.1109/LGRS.2008.923262

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.

“Fisher Distribution for Texture Modeling of Polarimetric SAR Data,”
Bombrun Lionel, Jean-Marie Beaulieu,
IEEE Geoscience and Remote Sensing Letters, vol. 5, iss. 3, p. 512–516, July 2008.
[Bibtex]

@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},
isbn = {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}
}

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Published in: IEEE Geoscience and Remote Sensing Letters ( Volume: 5 , Issue: 3 , July 2008 )
Date of Publication: 27 June 2008
INSPEC Accession Number: 10115210
Print ISSN: 1545-598X
Electronic ISSN: 1558-0571
Publisher: IEEE