Discrete gradient methods for solving variational image regularisation models

DOI10.1088/1751-8121/aa747czbMath1371.94146OpenAlexW2733465130MaRDI QIDQ5348278

Volker Grimm, Carola-Bibiane Schönlieb, David I. McLaren, Robert I. Mclachlan, Gilles Reinout Willem Quispel

Publication date: 15 August 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/87e99168bc4c6260eeb572d3795393a10cb9b786

zbMATH Keywords

total variationgradient flowimage denoisingimage deblurringgeometric numerical integrationdiscrete gradient methodvariational image processing models

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Variational principles of physics (49S05)

Related Items (10)

On the equivalence between SOR-type methods for linear systems and the discrete gradient methods for gradient systems ⋮ Dissipative Numerical Schemes on Riemannian Manifolds with Applications to Gradient Flows ⋮ Adaptive SOR methods based on the Wolfe conditions ⋮ Zeroth-order optimization with orthogonal random directions ⋮ A New Operator Splitting Method for the Euler Elastica Model for Image Smoothing ⋮ Bregman Itoh-Abe methods for sparse optimisation ⋮ Accelerating numerical simulation of continuous-time Boolean satisfiability solver using discrete gradient ⋮ Variational Image Regularization with Euler's Elastica Using a Discrete Gradient Scheme ⋮ A geometric integration approach to nonsmooth, nonconvex optimisation ⋮ A Color Elastica Model for Vector-Valued Image Regularization

Uses Software

• SIPI Image Database

Cites Work

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