An iterative reconstruction algorithm for pole figure inversion using total variation regularization
Abstract
This paper describes a new discrete method for inverting X-ray pole figures to estimate the orientation distribution function (ODF). The method employs the equal-volume `cubochoric' representation for uniform discretization of orientation space, SO(3). The forward-projection model is combined with an anisotropic total variation term to iteratively determine the ODF. The efficacy of the new method is evaluated with both model and experimental data and compared with existing discrete and series expansion methods.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Oct 31, 2019
- Source ID
- 10.1107/s1600576719013529
Entities
People
- Marc De Graef
- Prabhat KC
- Saransh Singh
- Shivram Kashyap Sridhar
Organizations
- Carnegie Mellon University
- Lawrence Livermore National Laboratory
- National Science Foundation
- Office of Naval Research