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Research Interests
Research Interests
Analytic and computational methods for inverse problems arising in imaging sciences (eg. medical, industrial, and homeland security imaging), Multi-energy Computed Tomography, Compton camera imaging, Integral transforms of Radon type and their applications, Applied harmonic analysis
Publications
Publications
F. Terzioglu and R. Murray, Stability Estimates for the k-plane Transform on Measures and a Holder-Type Comparison Between Wasserstein and Max-Sliced Wasserstein Distances, arXiv preprint, arXiv:2605.00375
F. Terzioglu and L. Yan, Range characterization of k-weighted divergent beam and cone integral transforms, arXiv preprint, arXiv:2605.00204
F. Terzioglu, Mapping estimates for the k-plane transform in Sobolev, Besov, and Triebel-Lizorkin Spaces, submitted, arXiv: 2604.15458
A. Mas, F. Terzioglu, and I. Ipsen, The role of Fourier analysis in two dimensional tomography, submitted, arXiv: 2604.18541
F. Terzioglu, An analytical inversion formula for the overdetermined spherical section transform, Inverse Problems, 41 (2025), 095007, (17pp), doi: 10.1088/1361-6420/ae00ec
F. Terzioglu, E. Y. Sidky, J. P. Phillips, I. S. Reiser, G. Bal, and X. Pan, Optimizing dual-energy CT technique for iodine-based contrast-to-noise ratio, theoretical study, Medical Physics (2024), 51: 2871–2881, doi: 10.1002/mp.17010
F. Terzioglu, Recovering a function from its integrals over conical surfaces through relations with the Radon transform, Inverse Problems 39 (2023), 024005, (17pp), doi: 10.1088/1361-6420/acad24
G. Bal, R. Gong, and F. Terzioglu, An inversion algorithm for P-functions with applications to multi-energy CT, Inverse Problems 38 (2022), 035011, (25pp), doi:10.1088/1361-6420/ac4d0a
G. Bal and F. Terzioglu, Uniqueness criteria in multi-energy CT, Inverse Problems 36 (2020), 065006, (18pp), doi:10.1088/1361-6420/ab844b
F. Terzioglu, Exact inversion of an integral transform arising in Compton camera imaging, J. Medical Imaging 7(3) (2020), 032504, doi:10.1117/1.JMI.7.3.032504
F. Terzioglu, Exact inversion of an integral transform arising in passive detection of gamma-ray sources with a Compton camera, Proc. SPIE 11072, 15th International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, 1107217 (2019), doi:10.1117/12.2534439
F. Terzioglu, Some analytic properties of the cone transform, Inverse Problems 35 (2019), 034002, (22pp), doi:10.1088/1361-6420/aafccf
F. Terzioglu, P. Kuchment, and L. Kunyanksy, Compton camera imaging and the cone transform: a brief overview, Inverse Problems 34 (2018), 405204, (16pp), doi:10.1088/1361-6420/aab0ab
P. Kuchment and F. Terzioglu, Inversion of weighted divergent beam and cone transforms, Inverse Problems and Imaging, 11(6) (2017), pp. 1071-1090, doi:10.3934/ipi.2017049
P. Kuchment and F. Terzioglu, Three-dimensional image reconstruction from Compton camera data, SIAM J. Imaging Science, 9(4) (2016), pp. 1708-1725, doi:10.1137/16M107476X
F. Terzioglu, Some inversion formulas for the cone transform, Inverse Problems 31 (2015), 115010 (21pp), doi:10.1088/0266-5611/31/11/115010
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