The cone-beam transform and spherical convolution operatorsMS65

The cone-beam tomography consists of integrating a function defined on the three-dimensional space along every ray that starts on a certain scanning curve. Based on Grangeat's formula, Louis [2016, Inverse Problems, 32 115005] states a reconstruction formula based on a new generalized Funk-Radon transform. In this talk, we give a singular value decomposition of this generalized Funk-Radon transform and discuss its application to the cone-beam integrals.

This presentation is part of Minisymposium “MS65 - Machine learning techniques for image reconstruction (2 parts)
organized by: Markus Haltmeier (University Innsbruck) , Linh Nguyen (University of Idaho) .

Michael Quellmalz (Technische Universität Chemnitz)