Mathematics of thermoacoustic tomography
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- 18 March 2008
- journal article
- research article
- Published by Cambridge University Press (CUP) in European Journal of Applied Mathematics
- Vol. 19 (02) , 191-224
- https://doi.org/10.1017/s0956792508007353
Abstract
The article presents a survey of mathematical problems, techniques and challenges arising in thermoacoustic tomography and its sibling photoacoustic tomography.Keywords
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This publication has 78 references indexed in Scilit:
- Effects of wavelength-dependent fluence attenuation on the noninvasive photoacoustic imaging of hemoglobin oxygen saturation in subcutaneous vasculature in vivoInverse Problems, 2007
- Photoacoustic tomography with a limited-aperture planar sensor and a reverberant cavityInverse Problems, 2007
- A series solution and a fast algorithm for the inversion of the spherical mean Radon transformInverse Problems, 2007
- A Range Description for the Planar Circular Radon TransformSIAM Journal on Mathematical Analysis, 2006
- Thermoacoustic tomography—consistency conditions and the partial scan problemPhysics in Medicine & Biology, 2004
- Determining a Function from Its Mean Values Over a Family of SpheresSIAM Journal on Mathematical Analysis, 2004
- Conical Uniqueness Sets for the Spherical Radon TransformBulletin of the London Mathematical Society, 1999
- Singularities of the X-Ray Transform and Limited Data Tomography in $\mathbb{R}^2 $ and $\mathbb{R}^3 $SIAM Journal on Mathematical Analysis, 1993
- On the Determination of a Function from Spherical AveragesSIAM Journal on Mathematical Analysis, 1988
- Integral geometry in affine and projective spacesJournal of Mathematical Sciences, 1982