A MULTISCALE WAVELET-INSPIRED SCHEME FOR NONLINEAR DIFFUSION

DOI10.1142/S0219691306001063zbMath1111.65075MaRDI QIDQ5291374

Gerlind Plonka-Hoch, Gabriele Drauschke

Publication date: 10 May 2006

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical exampleswavelet shrinkagesignal denoisingnonlinear diffusion filteringHaar wavelet filter bank

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for wavelets (65T60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (7)

Image variational denoising using gradient fidelity on curvelet shrinkage ⋮ Correspondence between multiwavelet shrinkage and nonlinear diffusion ⋮ CONSTRUCTION OF SYMMETRIC TIGHT WAVELET FRAMES FROM QUASI-INTERPOLATORY SUBDIVISION MASKS AND THEIR APPLICATIONS ⋮ CONVERGENCE OF AN ITERATIVE NONLINEAR SCHEME FOR DENOISING OF PIECEWISE CONSTANT IMAGES ⋮ A MULTISCALE TIGHT FRAME-INSPIRED SCHEME FOR NONLINEAR DIFFUSION ⋮ Structural Adaptive Smoothing Procedures ⋮ Parseval proximal neural networks

Cites Work

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• On the Equivalence of Soft Wavelet Shrinkage, Total Variation Diffusion, Total Variation Regularization, and SIDEs
• De-noising by soft-thresholding

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