Denoising of full resolution differential SAR interferogram based on K-SVD technique

The aim of this paper is to demonstrate the applicability of sparse representation to filter out the noise from SAR interferograms. More specifically, we consider an innovative approach for interferometric phase denoising, based on K-SVD technique applied to SAR interferograms, for estimating the noise-free underlying structure of the phase information. To examine the effectiveness of th is approach, the method has been successfully tested both on simulated and real interferograms. In the latter case, the proposed approach has been evaluated using ENVISAT SAR data acquired over the area of Napoli (Italy). The good results achieved applying the proposed method demonstrate its effectiveness for denoising SAR interferograms.

[1]  C. Werner,et al.  Radar interferogram filtering for geophysical applications , 1998 .

[2]  Michael Elad,et al.  Sparsity-Based Poisson Denoising With Dictionary Learning , 2013, IEEE Transactions on Image Processing.

[3]  Priyam Chatterjee,et al.  Denoising using the K-SVD Method , 2007 .

[4]  M. Elad,et al.  $rm K$-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation , 2006, IEEE Transactions on Signal Processing.

[5]  Michael Elad,et al.  Image Denoising Via Sparse and Redundant Representations Over Learned Dictionaries , 2006, IEEE Transactions on Image Processing.

[6]  Michael Elad,et al.  Analysis K-SVD: A Dictionary-Learning Algorithm for the Analysis Sparse Model , 2013, IEEE Transactions on Signal Processing.

[7]  Gianfranco Fornaro,et al.  Minimum mean square error space-varying filtering of interferometric SAR data , 2002, IEEE Trans. Geosci. Remote. Sens..

[8]  David L. Donoho,et al.  De-noising by soft-thresholding , 1995, IEEE Trans. Inf. Theory.

[9]  Y. C. Pati,et al.  Orthogonal matching pursuit: recursive function approximation with applications to wavelet decomposition , 1993, Proceedings of 27th Asilomar Conference on Signals, Systems and Computers.

[10]  Mihai Datcu,et al.  Wavelets: a universal tool for the processing of remote sensing data? , 1997, Remote Sensing.

[11]  Richard M. Goldstein,et al.  Crossed Orbit Interferometry , 1988, International Geoscience and Remote Sensing Symposium, 'Remote Sensing: Moving Toward the 21st Century'..

[12]  Riadh Abdelfattah,et al.  New SAR Interferogram denoising method via sparse recovery based on L 0 norm , 2014 .

[13]  Michael Elad,et al.  Sparse Representation for Color Image Restoration , 2008, IEEE Transactions on Image Processing.

[14]  J. MacQueen Some methods for classification and analysis of multivariate observations , 1967 .

[15]  A. Bruckstein,et al.  K-SVD : An Algorithm for Designing of Overcomplete Dictionaries for Sparse Representation , 2005 .

[16]  Michael Elad,et al.  Optimally sparse representation in general (nonorthogonal) dictionaries via ℓ1 minimization , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[17]  E. Rodríguez,et al.  Theory and design of interferometric synthetic aperture radars , 1992 .