4 papers
THE ROLE OF FOURIER ANALYSIS IN TWO DIMENSIONAL TOMOGRAPHY
Andre Mas, Fatma Terzioglu, Ilse C. F. Ipsen
We highlight the important role of the Fourier transform in deriving inversion formulas for the integral transforms of tomographic imaging. We demonstrate this principle by derivin…
Mapping estimates for the -plane transform in Sobolev, Besov, and Triebel--Lizorkin Spaces
Fatma Terzioglu
We study mapping properties of the -plane transform in Sobolev, Besov, and Triebel--Lizorkin spaces. For , the -plane transform integrates a function over -…
Non-unique water and contrast agent solutions in dual-energy CT
JP Phillips, Emil Y. Sidky, Fatma Terzioglu +3
The goal of this work is to study occurrences of non-unique solutions in dual-energy CT (DECT) for objects containing water and a contrast agent. Previous studies of the Jacobian o…
Uniqueness criteria in multi-energy CT
Guillaume Bal, Fatma Terzioglu
Multi-Energy Computed Tomography (ME-CT) is a medical imaging modality aiming to reconstruct the spatial density of materials from the attenuation properties of probing x-rays. For…