2008.72: Nonuniqueness in diffusion-based optical tomography
2008.72: S.R. Arridge and W.R.B Lionheart (1998) Nonuniqueness in diffusion-based optical tomography. Optics Letters, 23 (11). pp. 882-884. ISSN 0146-9592
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DOI: 10.1364/OL.23.000882
Abstract
A condition on nonuniqueness in optical tomography is stated. The main result applies to steady-state (dc) diffusion-based optical tomography, wherein we demonstrate that simultaneous unique recovery of diffusion and absorption coefficients cannot be achieved. A specific example of two images that give identical dc data is presented. If the refractive index is considered an unknown, then nonuniqueness also occurs in frequency-domain and time-domain optical tomography, if the underlying model of the diffusion approximation is employed.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | diffuse optical tomography, uniqueness of solution |
| Subjects: | MSC 2000 > 35 Partial differential equations MSC 2000 > 78 Optics, electromagnetic theory PACS 2003 > 42 Optics |
| MIMS number: | 2008.72 |
| Deposited By: | Prof WRB Lionheart |
| Deposited On: | 15 July 2008 |
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