On the identification of piecewise constant coefficients in optical diffusion tomography by level set

DOI10.1051/cocv/2016007zbMath1358.49031arXiv2012.11980OpenAlexW2524216045MaRDI QIDQ2968802

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Publication date: 22 March 2017

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

Full work available at URL: https://arxiv.org/abs/2012.11980

zbMATH Keywords

parameter identificationoptical tomographylevel set regularizationnumerical strategy

Mathematics Subject Classification ID

Inverse problems for waves in solid mechanics (74J25) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems in optimal control (49N45)

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Cites Work

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• Iterative regularization methods for nonlinear ill-posed problems
• Functional analysis, Sobolev spaces and partial differential equations
• On level set regularization for highly ill-posed distributed parameter estimation problems
• Stochastic Algorithms for Inverse Problems Involving PDEs and many Measurements
• A level-set approach for inverse problems involving obstacles Fadil SANTOSA
• Reconstructing absorption and scattering distributions in quantitative photoacoustic tomography
• Three-dimensional reconstruction of shape and piecewise constant region values for optical tomography using spherical harmonic parametrization and a boundary element method
• On multiple level-set regularization methods for inverse problems
• On uniqueness in diffuse optical tomography
• Level set methods for inverse scattering—some recent developments
• Optical tomography in medical imaging
• Recovery of region boundaries of piecewise constant coefficients of an elliptic PDE from boundary data
• On piecewise constant level-set (PCLS) methods for the identification of discontinuous parameters in ill-posed problems
• Analysis of Regularization Methods for the Solution of Ill-Posed Problems Involving Discontinuous Operators
• A survey on level set methods for inverse problems and optimal design
• Level-set approaches of L₂-type for recovering shape and contrast in ill-posed problems
• Level-set approaches of L₂-type for recovering shape and contrast in ill-posed problems
• Inverse problems for partial differential equations