A Characterization of Shannon Entropy and Bhattacharyya Measure of Contrast in Polarimetric and Interferometric SAR Image

Author

Morio, Jerome ; Réfrégier, Philippe ; Goudail, Francois ; Dubois-Fernandez, Pascale C. ; Dupuis, Xavier

Author_Institution

Office Nat. d´´Etudes et Recherches Aerospatiales, Chatillon

Volume

97

Issue

6

fYear

2009

fDate

6/1/2009 12:00:00 AM

Firstpage

1097

Lastpage

1108

Abstract

We analyze the application of Shannon entropy and Bhattacharyya distance for the characterization of polarimetric interferometric synthetic aperture radar (PolInSAR) images. We discuss the relevance of the decomposition of the Shannon entropy of a homogeneous region into the sum of three physically meaningful terms that depend respectively on intensity, polarimetry, and interferometry. We also discuss an analogous decomposition property for the Bhattacharyya distance, which is an efficient measure of the contrast between two regions. We illustrate the application of this approach for analyzing different contributions in the information content of PolInSAR images.

Keywords

information theory; radar imaging; radar interferometry; radar polarimetry; synthetic aperture radar; Bhattacharyya distance application; PolInSAR image; Shannon entropy application; analogous decomposition property; polarimetric interferometric synthetic aperture radar image; Covariance matrix; Entropy; Image analysis; Information analysis; Polarization; Radar polarimetry; Radar scattering; Surface topography; Synthetic aperture radar; Synthetic aperture radar interferometry; Contrast definition; entropy; image edge analysis; polarimetric interferometry; radar polarimetry; statistical image processing; synthetic aperture radar (SAR) interferometry;

fLanguage

English

Journal_Title

Proceedings of the IEEE

Publisher

ieee

ISSN

0018-9219

Type

jour

DOI

10.1109/JPROC.2009.2017107

Filename

4939404