Three-dimensional reconstruction of shape and piecewise constant region values for optical tomography using spherical harmonic parametrization and a boundary element method

DOI10.1088/0266-5611/22/5/001zbMath1105.78012OpenAlexW2148121821MaRDI QIDQ3419285

Athanasios Zacharopoulos, Jan Sýkora, Ville Kolehmainen, Oliver Dorn, Simon R. Arridge

Publication date: 6 February 2007

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

Full work available at URL: https://semanticscholar.org/paper/cede7a143c4ad0e26c45c8cca126e9d0b94ecc69

zbMATH Keywords

Jacobian boundary element method Fréchet derivative boundary integral inverse scattering adjoint problem shape reconstruction Newton type optimization

Mathematics Subject Classification ID

Biological applications of optics and electromagnetic theory (78A70) Biomedical imaging and signal processing (92C55) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

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