| Speaker: | Murat Guven, Rensselaer Polytechnic Institute (RPI) |
| Title: | Identifying and addressing the error sources in diffuse optical tomography |
| Time: | 3:00-4:00 pm |
| Place: | Blocker 628 |
Diffuse Optical Tomography (DOT) poses a nonlinear ill-posed inverse problem. Furthermore, propagation of NIR light is not restricted to a plane owing to the diffuse nature of photons in turbid media. As a result, DOT is an inherent 3D problem and suffers from low spatial resolution. One has to address all of these drawbacks in order to provide accurate and computationally viable optical image reconstructions.
In this work, we focus on the factors that affect the accuracy of DOT imaging and on how to eliminate these factors. In this context, we present an error analysis to show the effect of the discretization of the forward and inverse problems and linearization of the inverse problem based on Born approximation on the accuracy of the reconstructed optical absorption images. Our analysis identifies several factors which influence the extent to which the discretization and Born approximation impact the accuracy of the reconstructed images. For example; the mutual dependence of forward and inverse problems, the number of sources and detectors, their configuration and their orientation with respect to optical heterogeneities. Next, we propose novel adaptive discretization schemes for the forward and inverse problems. The proposed discretization schemes lead to adaptively refined composite meshes that yield the desired level of imaging accuracy while reducing the size of the discretized forward and inverse problems.
Last revised: 09/10/07 By: abnersg@math