Minimization methods for non-differentiable functions
Minimization methods for non-differentiable functions
Feature-oriented image enhancement using shock filters
SIAM Journal on Numerical Analysis
The JPEG still picture compression standard
Communications of the ACM - Special issue on digital multimedia systems
Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
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
Convergence of an Iterative Method for Total Variation Denoising
SIAM Journal on Numerical Analysis
On the projected subgradient method for nonsmooth convex optimization in a Hilbert space
Mathematical Programming: Series A and B
Global Total Variation Minimization
SIAM Journal on Numerical Analysis
Enhancement of JPEG-Compressed Images by Re-application of JPEG
Journal of VLSI Signal Processing Systems - Special issue on multimedia signal processing
High-Order Total Variation-Based Image Restoration
SIAM Journal on Scientific Computing
Signal Processing - Image and Video Coding beyond Standards
Reconstruction of Wavelet Coefficients Using Total Variation Minimization
SIAM Journal on Scientific Computing
Total variation image restoration: numerical methods and extensions
ICIP '97 Proceedings of the 1997 International Conference on Image Processing (ICIP '97) 3-Volume Set-Volume 3 - Volume 3
Image Denoising and Decomposition with Total Variation Minimization and Oscillatory Functions
Journal of Mathematical Imaging and Vision
An Algorithm for Total Variation Minimization and Applications
Journal of Mathematical Imaging and Vision
Measuring and Improving Image Resolution by Adaptation of the Reciprocal Cell
Journal of Mathematical Imaging and Vision
A computational algorithm for minimizing total variation in image restoration
IEEE Transactions on Image Processing
Color TV: total variation methods for restoration of vector-valued images
IEEE Transactions on Image Processing
An adaptive level set method for nondifferentiable constrained image recovery
IEEE Transactions on Image Processing
Minimizing the total variation under a general convex constraint for image restoration
IEEE Transactions on Image Processing
Image Compression Through a Projection onto a Polyhedral Set
Journal of Mathematical Imaging and Vision
Image Compression with Anisotropic Diffusion
Journal of Mathematical Imaging and Vision
JPEG Artifact Removal Using Error Distributions of Linear Coefficient Estimates
ICIAR '08 Proceedings of the 5th international conference on Image Analysis and Recognition
PCS'09 Proceedings of the 27th conference on Picture Coding Symposium
Blocky noise reduction for JPEG images using total variation minimization
ICICS'09 Proceedings of the 7th international conference on Information, communications and signal processing
Total Variation for Image Restoration with Smooth Area Protection
Journal of Signal Processing Systems
Local MAP estimation for quality improvement of compressed color images
Pattern Recognition
Reduction of JPEG compression artifacts by kernel regression and probabilistic self-organizing maps
IWANN'11 Proceedings of the 11th international conference on Artificial neural networks conference on Advances in computational intelligence - Volume Part II
Constrained total variation minimization and application in computerized tomography
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Towards PDE-Based image compression
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
Image deblocking via sparse representation
Image Communication
A Total Variation-Based JPEG Decompression Model
SIAM Journal on Imaging Sciences
Hi-index | 0.01 |
The widely used JPEG lossy baseline coding system is known to produce, at low bit rates, blocking effects and Gibbs phenomenon. This paper develops a method to get rid of these artifacts without smoothing images and without removing perceptual features. This results in better looking pictures and improved PSNR. Our algorithm is based on an adapted total variation minimization approach constrained by the knowledge of the input intervals the unquantized cosine coefficients belong to. In this way, we reconstruct an image having the same quantized coefficients than the original one, but which is minimal in term of the total variation. This discourages blocking effects and Gibbs phenomenon to appear while edges are kept as sharp as possible. Although the proposed subgradient method is converging in infinite time, experiments show that best results are obtained with a very few number of iterations. This leads to a simple and fast algorithm that may be applied to the great set of JPEG images to decompress them more efficiently.