# Inverse problem in refractive index based optical tomography

@article{Khan2005InversePI, title={Inverse problem in refractive index based optical tomography}, author={Taufiquar R. Khan and Alan Thomas}, journal={Inverse Problems}, year={2005}, volume={22}, pages={1121-1137} }

In optical tomography, conventionally the diffusion approximation to the radiative transport equation (RTE) with a constant refractive index is used to image highly scattering or turbid media. Diffusion optical tomography with a constant refractive index is rather difficult due to the exponential instability of the inverse problem. Therefore, it is beneficial to find a simple yet stable model that adequately describes the physics of radiative transport, for example, refractive index based…

## 17 Citations

Optical tomography reconstruction algorithm based on the radiative transfer equation considering refractive index: Part 2. Inverse model

- Physics, MathematicsComput. Medical Imaging Graph.
- 2013

Refractive index imaging from radiative transfer equation-based reconstruction algorithm: Fundamentals

- Physics, Mathematics
- 2011

Bioluminescence tomography for media with spatially varying refractive index

- Mathematics
- 2009

Biomedical imaging has developed into the level of molecular imaging. Bioluminescence tomography (BLT), as an optical imaging modality, is a rapidly developing new and promising field. So far, much…

Scaling property of the diffusion equation for light in a turbid medium with varying refractive index.

- PhysicsJournal of the Optical Society of America. A, Optics, image science, and vision
- 2007

It is shown that the process of photon diffusion in a turbid medium with varying refractive index and curved photon paths can be mapped to the diffusion process in a medium with straight photon paths and modified optical properties.

Approximation of Internal Refractive Index Variation Improves Image Guided Diffuse Optical Tomography of Breast

- PhysicsIEEE Transactions on Biomedical Engineering
- 2010

Effective usage of image guidance by incorporating the refractive index (RI) variation in computational modeling of light propagation in tissue is investigated and a priori knowledge of the RI for the segmented regions of tissue in IG-DOT leads to more accurate estimates of optical properties.

Effects of refractive index mismatch in optical CT imaging of polymer gel dosimeters.

- Physics, MedicineMedical physics
- 2015

The results show that the proposed scheme ART-rc is able to reconstruct optical density inside the dosimeter better than the results obtained using filtered backprojection and conventional algebraic reconstruction approaches.

Sparsity Regularization in Diffuse Optical Tomography

- Mathematics
- 2012

The purpose of this dissertation is to improve image reconstruction in Diffuse Optical Tomography (DOT), a high contrast imaging modality that uses a near infrared light source. Because the…

Analysis of the inverse problem associated with diffuse correlation tomography

- Mathematics
- 2012

The aim of this article is to study the mathematical analysis for an inverse problem and its numerical implementation associated with diffuse correlation tomography. The coefficients of the diffusion…

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