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Faculty Advisor

Enrico Au-Yueng

Abstract

The 2D Conical Radon transform is an alternate approach to medical imaging that is more efficient than the conventional method used in the PET Scan. Here, a 2D Conical Radon transform is used to reconstruct a function or image from a line integral on a 2-dimensional cone with a fixed angle and axis of symmetry at each data point. Implemented in MATLAB, this method uses a single Reimann Sum to produce images in a faster and less computationally expensive way. The V-Line transform is an alternative understanding of the 2D Conical Radon transform in which it is theoretically proven that a function enclosed in a circle of fixed radius can be retrieved using the transform. This proof works with the basic setup of single scattering optical tomography (SSOT).

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