期刊
SIAM JOURNAL ON IMAGING SCIENCES
卷 4, 期 3, 页码 850-883出版社
SIAM PUBLICATIONS
DOI: 10.1137/100817280
关键词
thermoacoustic tomography; photoacoustic tomography; inverse problems; Neumann series; variable sound speed
类别
资金
- NSF [0810104, 0830161, 1115363, DMS-0800428, 0811254]
- Simons Research Professorship
- UC Berkeley
- Senior Clay Award
- Direct For Mathematical & Physical Scien [811254] Funding Source: National Science Foundation
- Division of Computing and Communication Foundations
- Direct For Computer & Info Scie & Enginr [0830161] Funding Source: National Science Foundation
- Division Of Mathematical Sciences [811254] Funding Source: National Science Foundation
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0800428, 810104, 1115363] Funding Source: National Science Foundation
We present an efficient algorithm for reconstructing an unknown source in thermoacoustic and photoacoustic tomography based on the recent advances in understanding the theoretical nature of the problem. We work with variable sound speeds that also might be discontinuous across some surface. The latter problem arises in brain imaging. The algorithmic development is based on an explicit formula in the form of a Neumann series. We present numerical examples with nontrapping, trapping, and piecewise smooth speeds, as well as examples with data on a part of the boundary. These numerical examples demonstrate the robust performance of the Neumann series-based algorithm.
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