Defect correction in vector field tomography: detecting the potential part of a field using BEM and implementation of the method

DOI10.1088/0266-5611/21/1/006zbMath1078.65123OpenAlexW2023067200MaRDI QIDQ4664979

Thomas Schuster

Publication date: 9 April 2005

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d9c96b3192163ef775ce6564d193c6d51e163433

zbMATH Keywords

Radon transformnumerical examplesboundary element methodboundary value problemHelmholtz decompositionvon Neumann problemDoppler transformmethod of approximate inverse

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Biological applications of optics and electromagnetic theory (78A70) Biomedical imaging and signal processing (92C55) Numerical methods for integral transforms (65R10) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (5)

Error estimates for defect correction methods in Doppler tomography ⋮ A numerical solution of the dynamic vector tomography problem using the truncated singular value decomposition method ⋮ The Singular Value Decomposition of the Operators of the Dynamic Ray Transforms Acting on 2D Vector Fields ⋮ The Method of Approximate Inverse in Slice-by-Slice Vector Tomography Problems ⋮ The Method of Approximate Inverse for Ray Transform Operators on Two-Dimensional Symmetric m-Tensor Fields

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