Conference on Applied Inverse Problems, July 20-24, 2009, Vienna, Austria
Poster Presentation
Xudong Chen: Novel Inversion Technique for Diffuse Optical Tomography

Mon, 20 July, 2009, 17:15-18:15, Foyer

The Diffusion Equation, used in most Diffuse Optical Tomography reconstruction algorithms, can be analytically modeled as a linear system under the Born or Rytov approximation. The problem of imaging biological tissue is often a severely ill-posed problem due to the finite number of linearly independent measurements, noise, and often complicated structure of the heterogeneities in the tissue. Here, we present a new multistage inversion technique that improves the quality of imaging.

The algorithm consists of three steps as below:

In essence, instead of solving the inverse problem for the entire region, we have reduced the number of unknowns in the stage 1 and then iteratively in the stage 3. This has given us two advantages: 1) reduction in the computational intensity of the problem; 2) reduction in the ill-posedness of the overall inversion problem. The concept used in stage 3 enables the imaging of complicated geometries, such as an annulus, which are conventionally difficult to image with the demonstrated precision.

Presentation slides (pdf, 359 KB)

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