A perfect reconstruction property for PDE-constrained total-variation minimization with application in Quantitative Susceptibility Mapping

DOI10.1051/cocv/2018009zbMath1437.35680OpenAlexW2786954254MaRDI QIDQ5107989

Kristian Bredies, David Vicente

Publication date: 29 April 2020

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/76d7917e960bf3e2b7f6da53e641de4dc85459fb

zbMATH Keywords

perfect reconstruction propertytotal-variation minimizationoptimization with partial differential equationsquantitative susceptibility mappingjump sets of BV-solutionspiecewise constant functions of bounded variation

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Smoothness and regularity of solutions to PDEs (35B65) Shocks and singularities for hyperbolic equations (35L67) Biomedical imaging and signal processing (92C55) Variational problems in a geometric measure-theoretic setting (49Q20) Weak solutions to PDEs (35D30) PDEs in connection with control and optimization (35Q93)

Related Items

Variational discretization of one-dimensional elliptic optimal control problems with BV functions based on the mixed formulation ⋮ Finite element error estimates for one-dimensional elliptic optimal control by BV-functions ⋮ Higher-order total variation approaches and generalisations

Uses Software

• Yall1

Cites Work

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