Inverse Problems and Machine Learning
Date: October 26, 2016
Time: 4:00PM - 5:00PM
Location: BLOC 628
Speaker: Fatma Terzioglu, TAMU
Title: Image Reconstruction from Compton Camera Data
Abstract: In this presentation, we address analytically and numerically the inversion of the integral transform (cone or Compton transform) that maps a function on R^n to its integrals over conical surfaces. It arises in a variety of imaging techniques, e.g. in astronomy, optical imaging, and homeland security imaging, especially when the so called Compton cameras are involved. We present several inversion formulas for the cone transform and the results of their numerical implementation in 2D and 3D.