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| Solving an Inverse Problem from Bioluminescence Tomography by Minimizing an Energy-like Functional |
| SONG Shi-Jun, HUANG Jian-Guo |
| (Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China) |
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Abstract A new method was proposed for the inverse source problem of the molecular imaging by solving a certain minimization problem though Tikhonov regularization method. The unique existence of the solution for the minimization problem is ensured by strict convexity of the objective functional. The convergence property and error estimate of the finite element solution for the discrete minimization problem were also discussed. The computational performance of our new method was shown by several numerical tests.
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Received: 26 October 2011
Published: 31 December 2011
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