Feature-oriented image enhancement using shock filters
SIAM Journal on Numerical Analysis
Signal and image restoration using shock filters and anisotropic diffusion
SIAM Journal on Numerical Analysis
Iterative methods for total variation denoising
SIAM Journal on Scientific Computing - Special issue on iterative methods in numerical linear algebra; selected papers from the Colorado conference
Restoring Images Degraded by Spatially Variant Blur
SIAM Journal on Scientific Computing
Computational Methods for Inverse Problems
Computational Methods for Inverse Problems
Regularized Shock Filters and Complex Diffusion
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part I
A Variational Approach to Remove Outliers and Impulse Noise
Journal of Mathematical Imaging and Vision
Efficient Minimization Methods of Mixed l2-l1 and l1-l1 Norms for Image Restoration
SIAM Journal on Scientific Computing
Image Processing And Analysis: Variational, Pde, Wavelet, And Stochastic Methods
Image Processing And Analysis: Variational, Pde, Wavelet, And Stochastic Methods
Variational deblurring of images with uncertain and spatially variant blurs
PR'05 Proceedings of the 27th DAGM conference on Pattern Recognition
Image deblurring in the presence of salt-and-pepper noise
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Color image deblurring with impulsive noise
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
Image enhancement and denoising by complex diffusion processes
IEEE Transactions on Pattern Analysis and Machine Intelligence
Total variation blind deconvolution
IEEE Transactions on Image Processing
Blind image restoration by anisotropic regularization
IEEE Transactions on Image Processing
Semi-blind image restoration via Mumford-Shah regularization
IEEE Transactions on Image Processing
Sequential Blind PSF Estimation and Restoration of Aerial Multispectral Images
ACIVS '08 Proceedings of the 10th International Conference on Advanced Concepts for Intelligent Vision Systems
ACM SIGGRAPH Asia 2009 papers
Variational Bayesian blind deconvolution using a total variation prior
IEEE Transactions on Image Processing
Motion deblurring from a single image using gradient enhancement
Proceedings of the 10th International Conference on Virtual Reality Continuum and Its Applications in Industry
Total variation blind deconvolution employing split Bregman iteration
Journal of Visual Communication and Image Representation
PSF-Constraints based iterative blind deconvolution method for image deblurring
MMM'10 Proceedings of the 16th international conference on Advances in Multimedia Modeling
Robust blind motion deblurring using near-infrared flash image
Journal of Visual Communication and Image Representation
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We present a preconditioned method for blind image deconvolution. This method uses a pre-processed reference image (via the shock filter) as an initial condition for total variation minimizing blind deconvolution. Using the shock filter gives good information on location of the edges, while using the variational functionals such as Chan and Wong's [T.F. Chan, C.K. Wong, Total variation blind deconvolution, IEEE Transactions on Image Processing 7 (1998), 370-375] allows robust reconstruction of the image and the blur kernel. Comparison between using the L^1 and L^2 norms for the fidelity term is presented, as well as an analysis on the choice of the parameter for the kernel functional. Numerical results indicate the method is robust for both black and non-black background images while reducing the overall computational cost.