Weakly differentiable functions
Weakly differentiable functions
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
Convex analysis and variational problems
Convex analysis and variational problems
Enhancement of JPEG-Compressed Images by Re-application of JPEG
Journal of VLSI Signal Processing Systems - Special issue on multimedia signal processing
Image coding with optimal reconstruction
ICIP '97 Proceedings of the 1997 International Conference on Image Processing (ICIP '97) 3-Volume Set-Volume 1 - Volume 1
Adapted Total Variation for Artifact Free Decompression of JPEG Images
Journal of Mathematical Imaging and Vision
Reduction of blocking artifacts in JPEG compressed images
Digital Signal Processing
An Efficient Primal-Dual Method for $L^1$TV Image Restoration
SIAM Journal on Imaging Sciences
SIAM Journal on Imaging Sciences
A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging
Journal of Mathematical Imaging and Vision
IEEE Transactions on Circuits and Systems for Video Technology
A deblocking method for BDCT compressed images based on adaptive projections
IEEE Transactions on Circuits and Systems for Video Technology
| Hi-index | 0.00 |
We propose a variational model for artifact-free JPEG decompression. It is based on the minimization of the total variation over the convex set $U$ of all possible source images associated with given JPEG data. The general case where $U$ represents a pointwise restriction with respect to an $L^2$-orthonormal basis is considered. Analysis of the infinite dimensional model is presented, including the derivation of optimality conditions. A discretized version is solved using a primal-dual algorithm supplemented by a primal-dual gap-based stopping criterion. Experiments illustrate the effect of the model. Good reconstruction quality is obtained even for highly compressed images, while a graphics processing unit (GPU) implementation is shown to significantly reduce computation time, making the model suitable for real-time applications.