Finite element analysis for a nonlinear diffusion model in image processing

DOI10.1016/S0893-9659(01)00118-5zbMath1016.65069MaRDI QIDQ1609454

Jichun Li

Publication date: 15 August 2002

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

convergenceimage processingerror estimatesemidiscretizationnonlinear diffusion equationtensor product elements

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Cites Work

• An analysis of a mixed finite element method for the Navier-Stokes equations
• Full-order convergence of a mixed finite element method for fourth-order elliptic equations
• The full approximation accuracy for the stream function-vorticity- pressure method
• Image denoising and segmentation via nonlinear diffusion
• Feature-Oriented Image Enhancement Using Shock Filters
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
• A coarsening finite element strategy in image selective smoothing
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