Stability Properties of the Perona--Malik Scheme
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Publication:3446841
DOI10.1137/S0036142903424817zbMath1127.94002OpenAlexW1997283202MaRDI QIDQ3446841
Publication date: 26 June 2007
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036142903424817
Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
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Entire Solutions of the One-Dimensional Perona-Malik Equation ⋮ Classification of equilibria and \(\Gamma \)-convergence for the discrete Perona-Malik functional ⋮ PASSING TO THE LIMIT IN MAXIMAL SLOPE CURVES: FROM A REGULARIZED PERONA–MALIK EQUATION TO THE TOTAL VARIATION FLOW ⋮ Gradient estimates for the Perona-Malik equation ⋮ A quantitative variational analysis of the staircasing phenomenon for a second order regularization of the Perona-Malik functional ⋮ Adaptive Perona-Malik model based on dynamical threshold for image multi-noise removal with details preservation ⋮ Image denoising via nonlinear hybrid diffusion ⋮ Qualitative properties for Perona-Malik type equations ⋮ An Example of Global Classical Solution for the Perona-Malik Equation ⋮ A class of local classical solutions for the one-dimensional Perona-Malik equation
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