| Autor: |
Florescu L; Centre for Vision, Speech and Signal Processing, University of Surrey, GU2 7XH, United Kingdom.; l.m.florescu@surrey.ac.uk., Markel VA; Department of Radiology, University of Pennsylvania, Philadelphia, PA 19104, United States of America.; vmarkel@pennmedicine.upenn.edu., Schotland JC; Department of Mathematics and Department of Physics, University of Michigan, Ann Arbor, MI 48109, United States of America.; schotland@umich.edu. |
| Jazyk: |
angličtina |
| Zdroj: |
Inverse problems [Inverse Probl] 2018 Sep; Vol. 34 (9), pp. 094002. Date of Electronic Publication: 2018 Jul 11. |
| DOI: |
10.1088/1361-6420/aacec7 |
| Abstrakt: |
Broken ray transforms (BRTs) are typically considered to be reciprocal, meaning that the transform is independent of the direction in which a photon travels along a given broken ray. However, if the photon can change its energy (or be absorbed and re-radiated at a different frequency) at the vertex of the ray, then reciprocity is lost. In optics, non-reciprocal BRTs are applicable to imaging problems with fluorescent contrast agents. In the case of x-ray imaging, problems with single Compton scattering also give rise to non-reciprocal BRTs. In this paper, we focus on tomographic optical fluorescence imaging and show that, by reversing the path of a photon and using the non-reciprocity of the data function, we can reconstruct simultaneously and independently all optical properties of the medium (the intrinsic attenuation coefficients at the excitation and the fluorescence frequency and the concentration of the contrast agent). Our results are also applicable to inverting BRTs that arise due to single Compton scattering. |
| Databáze: |
MEDLINE |
| Externí odkaz: |
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