Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical Tomography
Diffuse optical tomogrpahy (DOT) is to find optical coefficients of tissue using near infrared light. DOT as an inverse problem is described and the studies about unique determination of optical coefficients are summarized. If a priori information of the optical coefficient is known, DOT is reformul...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/824501 |
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| author | Kiwoon Kwon |
| author_facet | Kiwoon Kwon |
| author_sort | Kiwoon Kwon |
| collection | DOAJ |
| description | Diffuse optical tomogrpahy (DOT) is to find optical coefficients of tissue using near infrared light. DOT as an inverse problem is described and the studies about unique determination of optical coefficients are summarized. If a priori information of the optical coefficient is known, DOT is reformulated to find a perturbation of the optical coefficients inverting the Born expansion which is an infinite series expansion with respect to the perturbation and the a priori information. Numerical methods for DOT are explained as methods inverting first- or second-order Born approximation or the Born expansion itself. |
| format | Article |
| id | doaj-art-b8451e15baf44aa88d5347870df73651 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b8451e15baf44aa88d5347870df736512025-02-03T05:57:09ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/824501824501Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical TomographyKiwoon Kwon0Department of Mathematics, Dongguk University, Seoul 100-715, Republic of KoreaDiffuse optical tomogrpahy (DOT) is to find optical coefficients of tissue using near infrared light. DOT as an inverse problem is described and the studies about unique determination of optical coefficients are summarized. If a priori information of the optical coefficient is known, DOT is reformulated to find a perturbation of the optical coefficients inverting the Born expansion which is an infinite series expansion with respect to the perturbation and the a priori information. Numerical methods for DOT are explained as methods inverting first- or second-order Born approximation or the Born expansion itself.http://dx.doi.org/10.1155/2013/824501 |
| spellingShingle | Kiwoon Kwon Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical Tomography Journal of Applied Mathematics |
| title | Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical Tomography |
| title_full | Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical Tomography |
| title_fullStr | Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical Tomography |
| title_full_unstemmed | Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical Tomography |
| title_short | Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical Tomography |
| title_sort | uniqueness born approximation and numerical methods for diffuse optical tomography |
| url | http://dx.doi.org/10.1155/2013/824501 |
| work_keys_str_mv | AT kiwoonkwon uniquenessbornapproximationandnumericalmethodsfordiffuseopticaltomography |