Relations Between Regularization and Diffusion Filtering
Journal of Mathematical Imaging and Vision
A Self-Referencing Level-Set Method for Image Reconstruction from Sparse Fourier Samples
International Journal of Computer Vision
A half-quadratic block-coordinate descent method for spectral estimation
Signal Processing
Adaptive rest condition potentials: first and second order edge-preserving regularization
Computer Vision and Image Understanding
Image Segmentation by Flexible Models Based on Robust Regularized Networks
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part III
Adaptive Rest Condition Potentials: Second Order Edge-Preserving Regularization
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part I
Hyperparameter Estimation for Satellite Image Restoration by a MCMCML Method
EMMCVPR '99 Proceedings of the Second International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition
Scale-Space Properties of Regularization Methods
SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
Iconic feature based nonrigid registration: the PASHA algorithm
Computer Vision and Image Understanding - Special issue on nonrigid image registration
Tube Methods for BV Regularization
Journal of Mathematical Imaging and Vision
A Variational Approach to Remove Outliers and Impulse Noise
Journal of Mathematical Imaging and Vision
The Equivalence of the Taut String Algorithm and BV-Regularization
Journal of Mathematical Imaging and Vision
Algorithmic Differentiation: Application to Variational Problems in Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Robust estimation and wavelet thresholding in partially linear models
Statistics and Computing
EURASIP Journal on Advances in Signal Processing
Progressive inter-scale and intra-scale non-blind image deconvolution
ACM SIGGRAPH 2008 papers
A new method for parameter estimation of edge-preserving regularization in image restoration
Journal of Computational and Applied Mathematics
(Φ,Φ*) Image Decomposition Models and Minimization Algorithms
Journal of Mathematical Imaging and Vision
Convex Multi-class Image Labeling by Simplex-Constrained Total Variation
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Superresolution reconstruction using nonlinear gradient-based regularization
Multidimensional Systems and Signal Processing
Edge-Preserving Image Reconstruction with Wavelet-Domain Edge Continuation
ICIAR '09 Proceedings of the 6th International Conference on Image Analysis and Recognition
A fast optimization transfer algorithm for image inpainting in wavelet domains
IEEE Transactions on Image Processing
Relaxed conditions for sparse signal recovery with general concave priors
IEEE Transactions on Signal Processing
Counter-examples for Bayesian MAP restoration
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
High dynamic range compression by half quadratic regularization
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Pattern Recognition Letters
Fast nonconvex nonsmooth minimization methods for image restoration and reconstruction
IEEE Transactions on Image Processing
High-quality non-blind image deconvolution with adaptive regularization
Journal of Visual Communication and Image Representation
Alternating Direction Method for Image Inpainting in Wavelet Domains
SIAM Journal on Imaging Sciences
A variational approach for exact histogram specification
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
An adaptive norm algorithm for image restoration
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
On decomposition-based block preconditioned iterative methods for half-quadratic image restoration
Journal of Computational and Applied Mathematics
Text image deblurring using text-specific properties
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part V
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One popular method for the recovery of an ideal intensity image from corrupted or indirect measurements is regularization: minimize an objective function that enforces a roughness penalty in addition to coherence with the data. Linear estimates are relatively easy to compute but generally introduce systematic errors; for example, they are incapable of recovering discontinuities and other important image attributes. In contrast, nonlinear estimates are more accurate but are often far less accessible. This is particularly true when the objective function is nonconvex, and the distribution of each data component depends on many image components through a linear operator with broad support. Our approach is based on an auxiliary array and an extended objective function in which the original variables appear quadratically and the auxiliary variables are decoupled. Minimizing over the auxiliary array alone yields the original function so that the original image estimate can be obtained by joint minimization. This can be done efficiently by Monte Carlo methods, for example by FFT-based annealing using a Markov chain that alternates between (global) transitions from one array to the other. Experiments are reported in optical astronomy, with space telescope data, and computed tomography