Abstract | ||
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In this work, we are concerned with the diffusive optical tomography (DOT) problem in the case when only one or two pairs of Cauchy data are available. We propose a simple and efficient direct sampling method to locate inhomogeneities inside a homogeneous background and solve the DOT problem in both full and limited aperture cases. This new method is easy to implement and less expensive computationally. Numerical experiments demonstrate its effectiveness and robustness against noise in the data. This provides a new promising numerical strategy for the DOT problem. |
Year | DOI | Venue |
---|---|---|
2015 | 10.1137/14097519X | SIAM JOURNAL ON SCIENTIFIC COMPUTING |
Keywords | Field | DocType |
direct sampling method,diffusive optical tomography | Aperture,Topology,Mathematical optimization,Homogeneous,Algorithm,Cauchy distribution,Robustness (computer science),Direct sampling,Optical tomography,Physics | Journal |
Volume | Issue | ISSN |
37 | 4 | 1064-8275 |
Citations | PageRank | References |
6 | 0.60 | 3 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Yat Tin Chow | 1 | 26 | 7.13 |
Kazufumi Ito | 2 | 833 | 103.58 |
Keji Liu | 3 | 18 | 4.04 |
Jun Zou | 4 | 12 | 3.37 |