12 citations · 20 across the 11 of their papers we have counts for
13 papers
An exploration of plug-and-play flow matching for full-waveform inversion on breast imaging
Cristina Garcia-Cardona, Siting Liu, Fatma Terzioglu +2
Full-waveform inversion (FWI) reconstructs sound-speed fields from measured waveforms, by solving an optimization problem that minimizes the discrepancy between measured waveforms…
Range Characterization of the Weighted Divergent Beam and Cone Integral Transforms
Fatma Terzioglu, Lili Yan
We establish range characterizations, or data consistency conditions, for an integral transform that maps a function to its weighted integrals over conical surfaces in $\mathbb{R}^…
An analytic inversion formula for the n-dimensional cylindrical Radon transform
Jenna Jones, Fatma Terzioglu
We study the overdetermined problem of inverting the n-dimensional cylindrical Radon transform, which maps a function to its integrals over cylindrical surfaces. In practice, the c…
Stability of the -Plane Transform on Measures and Hölder-Type Comparisons of Wasserstein Metrics
Fatma Terzioglu, Ryan Murray
We establish stability estimates for the -plane transform on finite positive Radon measures, with emphasis on Fourier and Wasserstein metrics. We first introduce a metric on …
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…
Optimizing dual-energy CT technique for iodine-based contrast-to-noise ratio
Fatma Terzioglu, Emil Y. Sidky, Jp Phillips +3
Purpose: This study proposes a systematic method for determining the optimal x-ray tube settings/energy windows and fluence for minimal noise and maximum CNR in material density im…
An inversion algorithm for P-functions with applications to Multi-energy CT
Guillaume Bal, Ruoming Gong, Fatma Terzioglu
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 compositi…
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…
Inversion of Weighted Divergent Beam and Cone Transforms
Peter Kuchment, Fatma Terzioglu
In this paper, we investigate the relations between the Radon and weighted divergent beam and cone transforms. Novel inversion formulas are derived for the latter two. The weighted…
3D Image Reconstruction from Compton camera data
Peter Kuchment, Fatma Terzioglu
In this paper, we address analytically and numerically the inversion of the integral transform (\emph{cone} or \emph{Compton} transform) that maps a function on to i…
Some Inversion Formulas for the Cone Transform
Fatma Terzioglu
Several novel imaging applications have lead recently to a variety of Radon type transforms, where integration is done over a family of conical surfaces. We call them \emph{cone tr…