Adapted Total Variation for Artifact Free Decompression of JPEG Images
Journal of Mathematical Imaging and Vision
Diffusion-Inspired Shrinkage Functions and Stability Results for Wavelet Denoising
International Journal of Computer Vision
Image Deblurring in the Presence of Impulsive Noise
International Journal of Computer Vision
From two-dimensional nonlinear diffusion to coupled Haar wavelet shrinkage
Journal of Visual Communication and Image Representation
Computer Vision and Image Understanding
One-iteration dejittering of digital video images
Journal of Visual Communication and Image Representation
Multiplicative Noise Cleaning via a Variational Method Involving Curvelet Coefficients
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Shearlet-based total variation diffusion for denoising
IEEE Transactions on Image Processing
A convex optimization approach for depth estimation under illumination variation
IEEE Transactions on Image Processing
Multiplicative Noise Removal Using L1 Fidelity on Frame Coefficients
Journal of Mathematical Imaging and Vision
Adaptive kernel-based image denoising employing semi-parametric regularization
IEEE Transactions on Image Processing
Deconvolving Poissonian images by a novel hybrid variational model
Journal of Visual Communication and Image Representation
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
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
Denoising of audio data by nonlinear diffusion
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Full length article: Emerging applications of wavelets: A review
Physical Communication
An adaptive wavelet viscosity method for systems of hyperbolic conservation laws
Journal of Computational and Applied Mathematics
Image recovery from partial wavelet coefficients via sparse representation
Proceedings of the Eighth Indian Conference on Computer Vision, Graphics and Image Processing
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We propose a model to reconstruct wavelet coefficients using a total variation minimization algorithm. The approach is motivated by wavelet signal denoising methods, where thresholding small wavelet coefficients leads to pseudo-Gibbs artifacts. By replacing these thresholded coefficients by values minimizing the total variation, our method performs a nearly artifact-free signal denoising. In this paper, we detail the algorithm based on a subgradient descent combining a projection on a linear space. The convergence of the algorithm is established and numerical experiments are reported.