A homotopy method for bioluminescence tomography

DOI10.1080/17415977.2017.1310854zbMath1390.92078OpenAlexW2604966877MaRDI QIDQ4563466

Rongfang Gong, Xiao-liang Cheng, Weimin Han

Publication date: 1 June 2018

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2017.1310854

zbMATH Keywords

smoothinginverse problemfinite element methodshomotopy methodbioluminescence tomography

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Biomedical imaging and signal processing (92C55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical methods for integral transforms (65R10)

Cites Work

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• Globally convergent homotopy methods: A tutorial
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• A class of smoothing functions for nonlinear and mixed complementarity problems
• A family of rules for parameter choice in Tikhonov regularization of ill-posed problems with inexact noise level
• Homotopy method for solving variational inequalities with bounded box constraints
• Mathematical Methods in Image Reconstruction
• Mathematical theory and numerical analysis of bioluminescence tomography
• Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
• A novel coupled complex boundary method for solving inverse source problems
• A New Coupled Complex Boundary Method for Bioluminescence Tomography
• Theoretical and numerical analysis on multispectral bioluminescence tomography

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