Name
Abstract | ||
|---|---|---|
Image restoration is a significant inverse problem in image processing community. We present an iterative alternating minimization of Kullback Leibler divergence (KLD) for an optimized image denoising. It is obtained by modeling the original image and the additive noise as multivariate Gaussian processes with unknown covariance matrices in wavelet domain. The original image and noise parameters are estimated by minimizing KLD between a model family of probability distributions defined using the linear image degradation model and a desired family of probability distributions constrained to be concentrated on the observed noisy image. The wavelet coefficients are modeled using the class of Gaussian Scale Mixture (GSM), which represents the heavy-tailed statistical distribution, suitable for natural images. The algorithm provides closed form expressions for the parameters updates and converge only in few iterations. The efficiency of proposed method is demonstrated through numerical simulations, both visually and in terms of signal to noise ratio. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1109/ICIP.2014.7025917 | Image Processing |
Keywords | Field | DocType |
Gaussian processes,covariance matrices,image denoising,image restoration,inverse problems,mixture models,parameter estimation,statistical distributions,wavelet transforms,GSM,Gaussian scale mixture,KLD,Kullback-Leibler divergence minimization,additive noise,covariance matrices,heavy-tailed statistical distribution,image processing community,image restoration,inverse problem,iterative alternating minimization,linear image degradation model,multivariate Gaussian processes,noise parameter estimation,numerical simulations,optimized image denoising,probability distributions,signal to noise ratio,wavelet coefficients,wavelet domain,Gaussian Scale Mixture,Image denoising,Kullback-Leibler divergence | Pattern recognition,Non-local means,Computer science,Signal-to-noise ratio,Image processing,Gaussian blur,Probability distribution,Artificial intelligence,Image restoration,Gaussian noise,Kullback–Leibler divergence | Conference |
ISSN | Citations | PageRank |
1522-4880 | 0 | 0.34 |
References | Authors | |
14 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Muhammad Hanif | 1 | 0 | 0.34 |
| Abd-Krim Seghouane | 2 | 78 | 12.27 |