Relations between Soft Wavelet Shrinkage and Total Variation Denoising
Proceedings of the 24th DAGM Symposium on Pattern Recognition
Modeling Textures with Total Variation Minimization and Oscillating Patterns in Image Processing
Journal of Scientific Computing
Diffusion-Inspired Shrinkage Functions and Stability Results for Wavelet Denoising
International Journal of Computer Vision
Wavelet-based diffusion approaches for signal denoising
Signal Processing
From two-dimensional nonlinear diffusion to coupled Haar wavelet shrinkage
Journal of Visual Communication and Image Representation
Correspondences between wavelet shrinkage and nonlinear diffusion
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
Image denoising by exploring the context information in the wavelet domain
ECS'10/ECCTD'10/ECCOM'10/ECCS'10 Proceedings of the European conference of systems, and European conference of circuits technology and devices, and European conference of communications, and European conference on Computer science
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
Anisotropic diffusion for image denoising based on diffusion tensors
Journal of Visual Communication and Image Representation
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We show two ways to combine wavelet packets and total variation based deblurring methods. For this purpose, we first recall that it is possible to approximate a convolution by mean of an operator diagonal in a wavelet packet basis. Then, we show two possibilities, which use this property, for combining wavelet packets and total variation approaches. We then show on experiments that, doing this we can expect to have the advantages of both approaches while avoiding their drawbacks.