Dictionary Learning for SAR Images Despeckling

In recent years, dictionaries combined with sparse learning techniques became extremely popular in computer vision. The image denoising approaches can be categorized as spatial domain, transform domain, and dictionary learning based according to the image representation. Using machine learning, sparse representations have become a trend and are used image and vision applications. The general idea of dictionary learning for image denoising by learning a large group of patches from an image dataset such that each patch in the estimated image can be expressed as a linear combination of only few patches from this redundant dictionary.The aim of the present paper is to demonstrate that both SVD and PCA has same task in image denoising provided that they are learned directly from the noisy image.In this paper, we present a result of comparison among four dictionary learning algorithmsK-SVD, and local PCA, hierarchical PCA and global PCA applied on the Synthetic Aperture radar (SAR) despeckling task. The experimental results show that the proposed K-SVD algorithm is provide an adequate results in removing speckle noise from the SAR images.

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

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

[3]  H. Deutsch Principle Component Analysis , 2004 .

[4]  Arnak S. Dalalyan,et al.  Image denoising with patch based PCA: local versus global , 2011, BMVC.

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

[6]  D. Zhang,et al.  Principle Component Analysis , 2004 .

[7]  Guillermo Sapiro,et al.  Non-local sparse models for image restoration , 2009, 2009 IEEE 12th International Conference on Computer Vision.

[8]  Simon J. Godsill,et al.  Compressed Sensing & Sparse Filtering , 2013 .

[9]  T. Moon,et al.  Mathematical Methods and Algorithms for Signal Processing , 1999 .

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

[11]  I. Hajnsek,et al.  A tutorial on synthetic aperture radar , 2013, IEEE Geoscience and Remote Sensing Magazine.

[12]  Michael Elad,et al.  Sparse and Redundant Representations - From Theory to Applications in Signal and Image Processing , 2010 .

[13]  Michael Elad,et al.  Compression of facial images using the K-SVD algorithm , 2008, J. Vis. Commun. Image Represent..

[14]  Rama Chellappa,et al.  Sparse Representations and Compressive Sensing for Imaging and Vision , 2013, Springer Briefs in Electrical and Computer Engineering.

[15]  D. Donoho For most large underdetermined systems of linear equations the minimal 𝓁1‐norm solution is also the sparsest solution , 2006 .

[16]  Charles Kervrann,et al.  Optimal Spatial Adaptation for Patch-Based Image Denoising , 2006, IEEE Transactions on Image Processing.

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

[18]  Kostadin Dabov,et al.  BM3D Image Denoising with Shape-Adaptive Principal Component Analysis , 2009 .

[19]  Harold Christopher Burger Modelling and learning approaches to image denoising , 2013 .

[20]  Jie Chen,et al.  SAR Image Despeckling by Selective 3D Filtering of Multiple Compressive Reconstructed Images , 2013 .