Analysis and Regularization of Problems in Diffuse Optical Tomography

DOI10.1137/090781590zbMath1219.35355OpenAlexW2168169604MaRDI QIDQ3006342

Matthias Schlottbom, Herbert Egger

Publication date: 10 June 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090781590

zbMATH Keywords

regularityregularizationinverse problemsparameter identificationelliptic partial differential equationsdiffuse optical tomography

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Linear operators and ill-posed problems, regularization (47A52) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (max. 100)

COMPLEX BOUNDARY VALUE PROBLEMS FOR THE CAUCHY–RIEMANN OPERATOR ON A TRIANGLE ⋮ Analysis of the diffuse domain method for second order elliptic boundary value problems ⋮ An asymptotical regularization with convex constraints for inverse problems ⋮ Dirichlet problems in lens and lune ⋮ RTE-based parameter reconstruction with \(T V + L^1\) regularization ⋮ Neumann boundary value problem for Bitsadze equation in a ring domain ⋮ Neumann boundary value problems in fan-shaped domains ⋮ A new total variational regularization method for nonlinear inverse problems in fluorescence molecular tomography

This page was built for publication: Analysis and Regularization of Problems in Diffuse Optical Tomography