Cyclic schemes for PDE-based image analysis

DOI10.1007/s11263-015-0874-1zbMath1398.68600OpenAlexW843068708MaRDI QIDQ1991489

Christopher Schroers, Andrés Bruhn, Sven Grewenig, Joachim Weickert

Publication date: 30 October 2018

Published in: International Journal of Computer Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11263-015-0874-1

zbMATH Keywords

Jacobi methodexplicit schemepartial differential equations (PDEs)fast explicit diffusionfirst-order optimisation methodsPDE-based image analysissuper time stepping

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Machine vision and scene understanding (68T45) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) PDEs in connection with computer science (35Q68)

Related Items (13)

A new anisotropic fourth-order diffusion equation model based on image features for image denoising ⋮ PDE-based group equivariant convolutional neural networks ⋮ Separable anisotropic diffusion ⋮ Multi-scale anisotropic fourth-order diffusion improves ridge and valley localization ⋮ Multiview Depth Parameterisation with Second Order Regularisation ⋮ Fast stable finite difference schemes for nonlinear cross-diffusion ⋮ Morphologically invariant matching of structures with the complete rank transform ⋮ Accelerated variational PDEs for efficient solution of regularized inversion problems ⋮ A fast explicit diffusion algorithm of fractional order anisotropic diffusion for image denoising ⋮ Multiplicative noise removal based on the smooth diffusion equation ⋮ PDE acceleration: a convergence rate analysis and applications to obstacle problems ⋮ An image denoising model based on a fourth-order nonlinear partial differential equation ⋮ Fractional-order diffusion model for multiplicative noise removal in texture-rich images and its fast explicit diffusion solving

Uses Software

• iPiasco

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