Towards Tomography with Random Orientation (original) (raw)

Proceedings of the 2019 2nd International Conference on Digital Medicine and Image Processing, 2019

Abstract

We consider the two-dimensional parallel beam Tomography problem in which both the object being imaged and the projection directions are unknown. Specifically: Given unsorted set of Radon projections that correspond to angles φj=0°, 1°, ..., 179°. Our main goal is to determine (align) the projections with their angles. We introduce a type of Local Radon Transform from which we propose a distance formula between any two Radon projections. We solve the problem by combining the second order Geometric Moments of these projections together with this measure of distance. We validate our framework on synthetic images and real images.

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