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