Classification With a Non-Gaussian Model for PolSAR Data
- 3 October 2008
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Geoscience and Remote Sensing
- Vol. 46 (10), 2999-3009
- https://doi.org/10.1109/tgrs.2008.923025
Abstract
In this paper, we present a generalized Wishart classifier derived from a non-Gaussian model for polarimetric synthetic aperture radar (PolSAR) data. Our starting point is to demonstrate that the scale mixture of Gaussian (SMoG) distribution model is suitable for modeling PolSAR data. We show that the distribution of the sample covariance matrix for the SMoG model is given as a generalization of the Wishart distribution and present this expression in integral form. We then derive the closed-form solution for one particular SMoG distribution, which is known as the multivariate K-distribution. Based on this new distribution for the sample covariance matrix, termed as the K -Wishart distribution, we propose a Bayesian classification scheme, which can be used in both supervised and unsupervised modes. To demonstrate the effect of including non-Gaussianity, we present a detailed comparison with the standard Wishart classifier using airborne EMISAR data.Keywords
This publication has 14 references indexed in Scilit:
- Crop Classification Using Short-Revisit Multitemporal SAR DataIEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2011
- Classifying Multifrequency Fully Polarimetric Imagery With Multiple Sources of Statistical Evidence and Contextual InformationIEEE Transactions on Geoscience and Remote Sensing, 2007
- Dictionary-based stochastic expectation-maximization for SAR amplitude probability density function estimationIEEE Transactions on Geoscience and Remote Sensing, 2005
- The polarimetric 𝒢 distribution for SAR data analysisEnvironmetrics, 2004
- A statistical description of polarimetric and interferometric synthetic aperture radar dataProceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 1995
- Classification of multi-look polarimetric SAR imagery based on complex Wishart distributionInternational Journal of Remote Sensing, 1994
- K-Distribution and Polarimetric Terrain Radar ClutterJournal of Electromagnetic Waves and Applications, 1989
- Generalized K distribution: a statistical model for weak scatteringJournal of the Optical Society of America A, 1987
- Measures of Multivariate Skewness and Kurtosis with ApplicationsBiometrika, 1970
- Statistical Analysis Based on a Certain Multivariate Complex Gaussian Distribution (An Introduction)The Annals of Mathematical Statistics, 1963