Mathematical Modeling and Computational Methods for Breast Tomosynthesis Image Reconstruction

Document Type

Presentation Abstract

Presentation Date

10-3-2013

Abstract

In digital tomosynthesis imaging, multiple projections of an object are obtained along a small range of different incident angles in order to reconstruct a pseudo-3D representation of the object. In this talk we describe a mathematical model for polyenergetic digital breast tomosynthesis image reconstruction that explicitly takes into account various materials composing the object and the polyenergetic nature of the x-ray beam. This model allows for computing weight fractions of the individual materials that make up the object, which can then be used to reconstruct pseudo-3D images. The reconstruction process requires solving a large-scale inverse problem. The mathematical model and computational approaches, including an efficient GPU implementation, are described in detail. The effectiveness of our approach is illustrated with real data taken of an object with known materials that simulates an actual breast.

Additional Details

Thursday, October 3 at 3:10 p.m. in Math 103

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