12 citations · 20 across the 11 of their papers we have counts for
6 papers · 1 filter
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 -…