Wavelet domain image restoration with adaptive edge-preserving regularization

Authors:
M. Belge;M. E. Kilmer;E. L. Miller
Affiliations:
Aware, Bedford, MA;-;-
Venue:
IEEE Transactions on Image Processing
Year:
2000

Citing 0
Cited 13

Quantization from Bayes factors with application to multilevel thresholding

Pattern Recognition Letters
Image magnification method using joint diffusion

Journal of Computer Science and Technology - Special issue on computer graphics and computer-aided design
Blind image deblurring driven by nonlinear processing in the edge domain

EURASIP Journal on Applied Signal Processing
Wavelet and curvelet moments for image classification: Application to aggregate mixture grading

Pattern Recognition Letters
Video Restoration with Motion Prediction Based on the Multiresolution Wavelet Analysis

Neural Information Processing
Multiplicative Noise Removal Using L1 Fidelity on Frame Coefficients

Journal of Mathematical Imaging and Vision
Counter-examples for Bayesian MAP restoration

SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Efficient graphical models for processing images

CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
Statistical representation and simulation of high-dimensional deformations: application to synthesizing brain deformations

MICCAI'05 Proceedings of the 8th international conference on Medical image computing and computer-assisted intervention - Volume Part II
Multi-parameter Tikhonov regularization and model function approach to the damped Morozov principle for choosing regularization parameters

Journal of Computational and Applied Mathematics
Bayesian reconstruction for transmission tomography with scale hyperparameter estimation

IbPRIA'05 Proceedings of the Second Iberian conference on Pattern Recognition and Image Analysis - Volume Part II
Multi-scale MAP estimation of high-resolution images

PSIVT'06 Proceedings of the First Pacific Rim conference on Advances in Image and Video Technology
An improved particle filter algorithm based on Markov Random Field modeling in stationary wavelet domain for SAR image despeckling

Pattern Recognition Letters

Quantified Score

Hi-index	0.01

Visualization

Abstract

In this paper, we consider a wavelet based edge-preserving regularization scheme for use in linear image restoration problems. Our efforts build on a collection of mathematical results indicating that wavelets are especially useful for representing functions that contain discontinuities (i.e., edges in two dimensions or jumps in one dimension). We interpret the resulting theory in a statistical signal processing framework and obtain a highly flexible framework for adapting the degree of regularization to the local structure of the underlying image. In particular, we are able to adapt quite easily to scale-varying and orientation-varying features in the image while simultaneously retaining the edge preservation properties of the regularizer. We demonstrate a half-quadratic algorithm for obtaining the restorations from observed data