On Tomography with Unknown Orientation

  • Fawaz Hjouj Department of Mathematics, The Petroleum Institute, United Arab Emirates

Abstract

We consider the two-dimensional parallel beam Tomography problem in which both the object being imaged and the projection directions are unknown. The angles of projections need not to be uniformly distributed. Our solution combines two known approaches: the Geometric Moment and the Graph Laplacian. After sorting the projections using the Graph Laplacian method we create a one to one moment function of the angles. We then solve for each angle uniquely.

Published
2017-06-10
Section
Articles