A Sparsity-Based InSAR Phase Denoising Algorithm Using Nonlocal Wavelet Shrinkage

An interferometric synthetic aperture radar (InSAR) phase denoising algorithm using the local sparsity of wavelet coefficients and nonlocal similarity of grouped blocks was developed. From the Bayesian perspective, the double- l 1 norm regularization model that enforces the local and nonlocal sparsity constraints was used. Taking advantages of coefficients of the nonlocal similarity between group blocks for the wavelet shrinkage, the proposed algorithm effectively filtered the phase noise. Applying the method to simulated and acquired InSAR data, we obtained satisfactory results. In comparison, the algorithm outperformed several widely-used InSAR phase denoising approaches in terms of the number of residues, root-mean-square errors and other edge preservation indexes.

[1]  Yang Wang,et al.  Modified patch-based locally optimal Wiener method for interferometric SAR phase filtering , 2016 .

[2]  Xavier Fabregas,et al.  SAR interferometric phase statistics in wavelet domain , 2002 .

[3]  Bin Cai,et al.  A New Adaptive Multiresolution Noise-Filtering Approach for SAR Interferometric Phase Images , 2008, IEEE Geoscience and Remote Sensing Letters.

[4]  Bin Liu,et al.  Noise Reduction in Interferograms Using the Wavelet Packet Transform and Wiener Filtering , 2008, IEEE Geoscience and Remote Sensing Letters.

[5]  I. Johnstone,et al.  Ideal spatial adaptation by wavelet shrinkage , 1994 .

[6]  Adam Krzyzak,et al.  Image denoising with neighbour dependency and customized wavelet and threshold , 2005, Pattern Recognit..

[7]  Xiang Zhu,et al.  Automatic Parameter Selection for Denoising Algorithms Using a No-Reference Measure of Image Content , 2010, IEEE Transactions on Image Processing.

[8]  Luciano Vieira Dutra,et al.  Generation of digital elevation models by using SIR-C/X-SAR multifrequency two-pass interferometry: the Etna case study , 1996, IEEE Trans. Geosci. Remote. Sens..

[9]  Florence Tupin,et al.  NL-InSAR: Nonlocal Interferogram Estimation , 2011, IEEE Transactions on Geoscience and Remote Sensing.

[10]  Qifeng Yu,et al.  An Adaptive Contoured Window Filter for Interferometric Synthetic Aperture Radar , 2007, IEEE Geoscience and Remote Sensing Letters.

[11]  Jian Yang,et al.  Polarimetric SAR Image Filtering Based on Patch Ordering and Simultaneous Sparse Coding , 2016, IEEE Transactions on Geoscience and Remote Sensing.

[12]  Madhu Chandra,et al.  SAR interferometric phase noise reduction using wavelet transform , 2001 .

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

[14]  Fangfang Li,et al.  Nonlocal SAR Interferometric Phase Filtering Through Higher Order Singular Value Decomposition , 2015, IEEE Geoscience and Remote Sensing Letters.

[15]  Jean-Michel Morel,et al.  A Review of Image Denoising Algorithms, with a New One , 2005, Multiscale Model. Simul..

[16]  Mike P. Stewart,et al.  A modification to the Goldstein radar interferogram filter , 2003, IEEE Trans. Geosci. Remote. Sens..

[17]  Bryan Mercer,et al.  Interferometric SAR Phase Filtering in the Wavelet Domain Using Simultaneous Detection and Estimation , 2011, IEEE Transactions on Geoscience and Remote Sensing.

[18]  Carlos López-Martínez,et al.  Modeling and reduction of SAR interferometric phase noise in the wavelet domain , 2002, IEEE Trans. Geosci. Remote. Sens..

[19]  Eero P. Simoncelli,et al.  Image quality assessment: from error visibility to structural similarity , 2004, IEEE Transactions on Image Processing.

[20]  Levent Sendur,et al.  Bivariate shrinkage functions for wavelet-based denoising exploiting interscale dependency , 2002, IEEE Trans. Signal Process..

[21]  Michael Elad,et al.  L1-L2 Optimization in Signal and Image Processing , 2010, IEEE Signal Processing Magazine.

[22]  Kostas Papathanassiou,et al.  A new technique for noise filtering of SAR interferogram phase images , 1997, IGARSS'97. 1997 IEEE International Geoscience and Remote Sensing Symposium Proceedings. Remote Sensing - A Scientific Vision for Sustainable Development.

[23]  Vikrant Bhateja,et al.  Speckle suppression in SAR images employing modified anisotropic diffusion filtering in wavelet domain for environment monitoring , 2015 .

[24]  Alessandro Foi,et al.  Image Denoising by Sparse 3-D Transform-Domain Collaborative Filtering , 2007, IEEE Transactions on Image Processing.

[25]  Jean-Michel Morel,et al.  Nonlocal Image and Movie Denoising , 2008, International Journal of Computer Vision.

[26]  Nan Wu,et al.  A locally adaptive filter of interferometric phase images , 2006, IEEE Geoscience and Remote Sensing Letters.

[27]  Mengdao Xing,et al.  Sparse Regularization of Interferometric Phase and Amplitude for InSAR Image Formation Based on Bayesian Representation , 2015, IEEE Transactions on Geoscience and Remote Sensing.

[28]  Zheng Bao,et al.  Image autocoregistration and InSAR interferogram estimation using joint subspace projection , 2006, IEEE Transactions on Geoscience and Remote Sensing.