Journal article
A homotopy method for bioluminescence tomography
Inverse problems in science and engineering, Vol.26(3), pp.398-421
03/04/2018
DOI: 10.1080/17415977.2017.1310854
Abstract
Bioluminescence tomography (BLT) aims at the determination of the distribution of a bioluminescent source quantitatively. The mathematical problem involved is an inverse source problem and is ill-posed. With the Tikhonov regularization, an optimization problem is formed for the light source reconstruction and it is usually solved by gradient-type methods. However, such iterative methods are often locally convergent and thus the solution accuracy depends largely on initial guesses. In this paper, we reformulate the reduced regularized optimal problem as a nonlinear equation and apply a homotopy method, which is a powerful tool for solving nonlinear problem due to its globally convergent property, to it. Numerical experiments show that the application of the homotopy technique is feasible and can produce satisfactory approximate solutions for a very large range of initial guesses.
Details
- Title: Subtitle
- A homotopy method for bioluminescence tomography
- Creators
- R. F Gong - Nanjing University of Aeronautics and AstronauticsX. L Cheng - Zhejiang UniversityW Han - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Inverse problems in science and engineering, Vol.26(3), pp.398-421
- Publisher
- Taylor & Francis
- DOI
- 10.1080/17415977.2017.1310854
- ISSN
- 1741-5977
- eISSN
- 1741-5985
- Grant note
- 11571311 / National Natural Science Foundation of China (10.13039/501100001809) 11401304 / National Natural Science Foundation of China (10.13039/501100001809) NS2014078 / Fundamental Research Funds for the Central Universities (10.13039/501100000725) 207052 / Simons Foundation (10.13039/100000893) BK20130780 / Natural Science Foundation of Jiangsu Province (10.13039/501100004608) NS2014078 / Times Higher Education (10.13039/501100000725) 228187 / Simons Foundation (10.13039/100000893)
- Language
- English
- Date published
- 03/04/2018
- Academic Unit
- Mathematics
- Record Identifier
- 9984240878802771
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