The application of Markov random field models to wavelet-based image denoising
Imaging and vision systems
Occlusion Models for Natural Images: A Statistical Study of a Scale-Invariant Dead Leaves Model
International Journal of Computer Vision - Special issue on statistical and computational theories of vision: Part II
A simple algorithm for surface denoising
Proceedings of the conference on Visualization '01
On Advances in Statistical Modeling of Natural Images
Journal of Mathematical Imaging and Vision
Iterated Denoising for Image Recovery
DCC '02 Proceedings of the Data Compression Conference
Adaptive Sparseness for Supervised Learning
IEEE Transactions on Pattern Analysis and Machine Intelligence
Journal of Mathematical Imaging and Vision
Image denoising based on the edge-process model
Signal Processing
Astronomical image restoration using an improved anisotropic diffusion
Pattern Recognition Letters
Information-theoretic analysis of steganalysis in real images
MM&Sec '06 Proceedings of the 8th workshop on Multimedia and security
Improve maximum likelihood estimation for subband GGD parameters
Pattern Recognition Letters
A versatile technique for visual enhancement of medical ultrasound images
Digital Signal Processing
On Bayesian classification with Laplace priors
Pattern Recognition Letters
Laplacian Operator-Based Edge Detectors
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multivariate Statistical Models for Image Denoising in the Wavelet Domain
International Journal of Computer Vision
Training methods for image noise level estimation on wavelet components
EURASIP Journal on Applied Signal Processing
Image complexity and feature mining for steganalysis of least significant bit matching steganography
Information Sciences: an International Journal
Supervised Texture Classification Using Characteristic Generalized Gaussian Density
Journal of Mathematical Imaging and Vision
Spatial adaptive Bayesian wavelet threshold exploiting scale and space consistency
Multidimensional Systems and Signal Processing
Denoising of multicomponent images using wavelet least-squares estimators
Image and Vision Computing
A variable window approach for image denoising
ESPOCO'05 Proceedings of the 4th WSEAS International Conference on Electronic, Signal Processing and Control
Texture image retrieval based on non-tensor product wavelet filter banks
Signal Processing
Image denoising in steerable pyramid domain based on a local Laplace prior
Pattern Recognition
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
Sparse reconstruction by separable approximation
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
On the uniform quantization of a class of sparse sources
IEEE Transactions on Information Theory
Wavelet denoising with evolutionary algorithms
Digital Signal Processing
Video activity analysis based on 3D wavelet statistical properties
ICACT'09 Proceedings of the 11th international conference on Advanced Communication Technology - Volume 3
Improved adaptive wavelet threshold for image denoising
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Multiplicative Noise Removal Using L1 Fidelity on Frame Coefficients
Journal of Mathematical Imaging and Vision
IEEE Transactions on Image Processing
Counter-examples for Bayesian MAP restoration
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
A subband adaptive iterative shrinkage/thresholding algorithm
IEEE Transactions on Signal Processing
Adaptive wavelet threshold for image denoising by exploiting inter-scale dependency
ICIC'07 Proceedings of the intelligent computing 3rd international conference on Advanced intelligent computing theories and applications
Image restoration by mixture modelling of an overcomplete linear representation
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
An improved anisotropic diffusion model for detail- and edge-preserving smoothing
Pattern Recognition Letters
IEEE Transactions on Signal Processing
Complex Gaussian scale mixtures of complex wavelet coefficients
IEEE Transactions on Signal Processing
Additive noise removal using a novel fuzzy-based filter
Computers and Electrical Engineering
A new fuzzy-based wavelet shrinkage image denoising technique
ACIVS'06 Proceedings of the 8th international conference on Advanced Concepts For Intelligent Vision Systems
ICSI'10 Proceedings of the First international conference on Advances in Swarm Intelligence - Volume Part II
Journal of Mathematical Imaging and Vision
Information Sciences: an International Journal
Application of 3D-wavelet statistics to video analysis
Multimedia Tools and Applications
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Research on universal and minimax wavelet shrinkage and thresholding methods has demonstrated near-ideal estimation performance in various asymptotic frameworks. However, image processing practice has shown that universal thresholding methods are outperformed by simple Bayesian estimators assuming independent wavelet coefficients and heavy-tailed priors such as generalized Gaussian distributions (GGDs). In this paper, we investigate various connections between shrinkage methods and maximum a posteriori (MAP) estimation using such priors. In particular, we state a simple condition under which MAP estimates are sparse. We also introduce a new family of complexity priors based upon Rissanen's universal prior on integers. One particular estimator in this class outperforms conventional estimators based on earlier applications of the minimum description length (MDL) principle. We develop analytical expressions for the shrinkage rules implied by GGD and complexity priors. This allows us to show the equivalence between universal hard thresholding, MAP estimation using a very heavy-tailed GGD, and MDL estimation using one of the new complexity priors. Theoretical analysis supported by numerous practical experiments shows the robustness of some of these estimates against mis-specifications of the prior-a basic concern in image processing applications