A novel approach for studies of multispectral bioluminescence tomography

DOI10.1007/s00211-010-0293-8zbMath1190.92021OpenAlexW2034104475MaRDI QIDQ981646

Weimin Han, Rongfang Gong, Ge Wang, Xiao-liang Cheng

Publication date: 2 July 2010

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-010-0293-8

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Biological applications of optics and electromagnetic theory (78A70) Biomedical imaging and signal processing (92C55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (4)

Reconstruction method for optical tomography based on the linearized Bregman iteration with sparse regularization ⋮ A fast solver for an inverse problem arising in bioluminescence tomography ⋮ Mathematical method in optical molecular imaging ⋮ A general framework for integration of bioluminescence tomography and diffuse optical tomography

Cites Work

• Tikhonov regularization and the L-curve for large discrete ill-posed problems
• The discrepancy principle for a class of regularization methods
• Mathematical theory and numerical analysis of bioluminescence tomography
• Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
• Practical Approximate Solutions to Linear Operator Equations When the Data are Noisy
• The use of monotonicity for choosing the regularization parameter in ill-posed problems
• Theoretical Numerical Analysis
• Theoretical and numerical analysis on multispectral bioluminescence tomography
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