Spatially adaptive image restoration method using LPG-PCA and JBF

This paper presents an efficient image restoration scheme with the help of Principal Component Analysis (PCA) with local pixel grouping (LPG) and Joint Bilateral Filter (JBF) in spatial domain and it also helps to preserve the image local structures. In LPG-PCA method, a vector variable is modeled by using a pixel and its nearest neighbors and also training samples are extracted using the local window and block matching based LPG. It also helps to preserve image local features after coefficient shrinkage in the PCA domain while eliminating noise. For further improvement, the same procedure is iterated again and the noise level is decreased in the second stage. In the third stage, the LPG-PCA output is used as a reference image for the Joint Bilateral Filter (JBF) to preserve and enhance the edges effectively. Experimental results shows that the proposed method gains very competitive denoising performance in terms of PSNR and also the fine structures in an image are preserved. The visual quality shows that this proposed method shows better performance when compare to other methods in reducing various types of noise.

[1]  Sudipta Roy,et al.  A NEW HYBRID IMAGE DENOISING METHOD , 2010 .

[2]  Thomas W. Parks,et al.  Adaptive principal components and image denoising , 2003, Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429).

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

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

[5]  Haixian Wang,et al.  Image Denoising Using Trivariate Shrinkage Filter in the Wavelet Domain and Joint Bilateral Filter in the Spatial Domain , 2009, IEEE Transactions on Image Processing.

[6]  Dennis M. Healy,et al.  Wavelet transform domain filters: a spatially selective noise filtration technique , 1994, IEEE Trans. Image Process..

[7]  Balázs Kégl,et al.  Image denoising with complex ridgelets , 2007, Pattern Recognit..

[8]  Ming Zhang,et al.  Multiresolution Bilateral Filtering for Image Denoising , 2008, IEEE Transactions on Image Processing.

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

[10]  Martin Vetterli,et al.  Adaptive wavelet thresholding for image denoising and compression , 2000, IEEE Trans. Image Process..

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

[12]  John F. Canny,et al.  A Computational Approach to Edge Detection , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

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

[14]  Kannan Ramchandran,et al.  Spatially adaptive statistical modeling of wavelet image coefficients and its application to denoising , 1999, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258).

[15]  Martin J. Wainwright,et al.  Image denoising using scale mixtures of Gaussians in the wavelet domain , 2003, IEEE Trans. Image Process..

[16]  Aleksandra Pizurica,et al.  Estimating the probability of the presence of a signal of interest in multiresolution single- and multiband image denoising , 2006, IEEE Transactions on Image Processing.

[17]  David Zhang,et al.  Two-stage image denoising by principal component analysis with local pixel grouping , 2010, Pattern Recognit..

[18]  I. Selesnick,et al.  Bivariate shrinkage with local variance estimation , 2002, IEEE Signal Processing Letters.

[19]  I. Johnstone,et al.  Adapting to Unknown Smoothness via Wavelet Shrinkage , 1995 .