Abstract
We explore the use of diffuse optical tomography (DOT) for the recovery of 3D tubular shapes representing vascular structures in breast tissue. Using a parametric level set method (PaLS) our method incorporates the connectedness of vascular structures in breast tissue to reconstruct shape and absorption values from severely limited data sets. The approach is based on a decomposition of the unknown structure into a series of two dimensional slices. Using a simplified physical model that ignores 3D effects of the complete structure, we develop a novel inter-slice regularization strategy to obtain global regularity. We report on simulated and experimental reconstructions using realistic optical contrasts where our method provides a more accurate estimate compared to an unregularized approach and a pixel based reconstruction.
Highlights
A wide range of applied imaging problems are concerned with the determination of a threedimensional (3D) structure in a larger field of regard
In this paper we expand on our previous work of [15] where we introduced a shape-based approach based on a parametric level (PaLS) formulation for the image recovery
It should be noted that pixel based reconstructions for diffuse optical tomography (DOT) can be very accurate, as mentioned above the work in this paper presents results using a severely limited dataset
Summary
A wide range of applied imaging problems are concerned with the determination of a threedimensional (3D) structure in a larger field of regard. In the context of medical imaging, there is great interest of estimating vascular structures using non-ionizing modalities such as diffuse optical tomography(DOT) [1, 19]. Considering the geometry of the breast and limitations of optical modalities, reconstruction algorithms are required to handle severely limited data sets, where very few detectors are used for each source location. These challenges need to be addressed, especially considering the move of DOT to a clinical setting where data obtained from multiple patients are restricted by limited sets of source-detector pairs [1, 3, 10].
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