Symmetries, inversion formulas, and image reconstruction for optical tomography
- 30 November 2004
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 70 (5) , 056616
- https://doi.org/10.1103/physreve.70.056616
Abstract
We consider the image reconstruction problem for optical tomography with diffuse light. The associated inverse scattering problem is analyzed by making use of particular symmetries of the scattering data. The effects of sampling and limited data are analyzed for several different experimental modalities, and computationally efficient reconstruction algorithms are obtained. These algorithms are suitable for the reconstruction of images from very large data sets.Keywords
This publication has 13 references indexed in Scilit:
- Inverse problem in optical diffusion tomography III Inversion formulas and singular-value decompositionJournal of the Optical Society of America A, 2003
- Effects of sampling and limited data in optical tomographyApplied Physics Letters, 2002
- Scanning paraxial optical tomographyOptics Letters, 2002
- Inverse scattering with diffusing wavesJournal of the Optical Society of America A, 2001
- Inverse scattering for the diffusion equation with general boundary conditionsPhysical Review E, 2001
- Optical tomography in medical imagingInverse Problems, 1999
- Multiple scattering of classical waves: microscopy, mesoscopy, and diffusionReviews of Modern Physics, 1999
- Wave Propagation and Scattering in Random MediaPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1999
- Boundary conditions for diffusion of lightJournal of the Optical Society of America A, 1995
- Optics of Fractal Clusters Such as SmokeOptica Acta: International Journal of Optics, 1986