Filtering and deconvolution by the wavelet transform
Signal Processing
Wavelets, Gaussian mixtures and Wiener filtering
Signal Processing
Information Theory, Inference & Learning Algorithms
Information Theory, Inference & Learning Algorithms
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
Spatially adaptive wavelet thresholding with context modeling for image denoising
IEEE Transactions on Image Processing
Image denoising using scale mixtures of Gaussians in the wavelet domain
IEEE Transactions on Image Processing
Expert Systems with Applications: An International Journal
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In this work we discuss an improvement of the image-denoising wavelet-based method presented by Bijaoui [Wavelets, Gaussian mixtures and Wiener filtering, Signal Process. 82 (2002) 709-712]. We show that the parameter estimation step can be replaced by a constrained nonlinear optimization. We propose three different methods to estimate the parameters. As in Bijaoui's original article, two of them deal with white noise. We show that the resulting algorithms improve the one originally proposed. Our third method extends the applicability of the denoising algorithm to colored noise. We test our algorithms with images simulating electron microscopy (EM) conditions as well as experimental EM images.