Research
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, Hybrid imaging, Applied harmonic analysis
Publications
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