An inversion algorithm for P-functions with applications to multi-energy CT
Abstract
Multi-energy computed tomography (ME-CT) is an x-ray transmission imaging technique that uses the energy dependence of x-ray photon attenuation to determine the elemental composition of an object of interest. Mathematically, forward ME-CT measurements are modeled by a nonlinear integral transform. In this paper, local conditions for global invertibility of the ME-CT transform are studied, and explicit stability estimates quantifying the error propagation from measurements to reconstructions are provided. Motivated from the inverse problem of image reconstruction in ME-CT, an iterative inversion algorithm for the so-called P-functions is proposed. Numerical simulations for ME-CT, in two and three materials settings with an equal number of energy measurements, confirm the theoretical predictions.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Feb 07, 2022
- Source ID
- 10.1088/1361-6420/ac4d0a
Entities
People
- Fatma Terzioglu
- Guillaume Bal
- Ruoming Gong
Organizations
- National Science Foundation
- Office of Naval Research