Dr.
Kamran Sadiq
Research Scientist
Inverse Problems and Mathematical Imaging
Contact
Email: Kamran.Sadiq(at)ricam.oeaw.ac.at
Telephone: +43 732 2468 5259
https://orcid.org/0000-0002-2197-2875
Research Projects
- P31053: "Weighted X-ray transform and applications". Funded by the Austrian Science Fund, FWF (01/2019 till 03/2022).
Research interests
- Inverse Problems
- Partial Differential Equation
Publications
Journal Publication (16)
- Fujiwara, Hiroshi; David, Omogbhe; Sadiq, Kamran; Tamasan, Alexandru (2024) Inversion of the attenuated momenta ray transform of planar symmetric tensors. Inverse Problems, Bd. 40 (7), S. 33.
- Omogbhe, David; Sadiq, Kamran (2023) On the X-ray transform of planar symmetric tensors. J INVERSE ILL-POSE P, Bd. 32 (3), S. 431-452.
- Omogbhe, David; Sadiq, Kamran (2023) An inverse source problem for linearly anisotropic radiative sources in absorbing and scattering medium. APPL ANAL, Bd. 103 (6), S. 1149--1164.
- Sadiq, Kamran; Tamasan, Alexandru (2023, online: 2022) On the range of the X-ray transform of symmetric tensors compactly supported in the plane. INVERSE PROBL IMAG, Bd. 17 (3), S. 660-685.
- Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru (online: 2023) Numerical reconstruction of radiative sources from partial boundary measurements. SIAM J. Imaging Sci., Bd. 16 (2), S. 948--968.
- Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru (2022) Partial inversion of the 2D attenuated X-ray transform withdata on an arc. Inverse Probl. Imaging, Bd. 16 (1), S. 215-228.
- Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru (2021) A source reconstruction method in two dimensional radiative transport using boundary data measured on an arc. Inverse Problems, Bd. 37 (11), S. 19 pp.
- Fujiwara, Hiroshi; Oishi, Naoya; Sadiq, Kamran; Tamasan, Alexandru (online: 2021) Numerical computation of X-ray tomography from partial measurement. JASCOME, Bd. 21 (21), S. 7.
- Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru (online: 2021) Partial inversion of the 2D attenuated X-ray transform with data on an arc. Inverse Probl. Imaging.
- Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru (2021) On a local inversion of the X-ray transform from one sided data. Suuri kaiseki kenkyuujo koukyuuroku, Bd. 2021 (6), S. 23-27.
- Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru (2020) Numerical Reconstruction of Radiative Sources in an Absorbing and Nondiffusing Scattering Medium in Two Dimensions. SIAM J. Imaging Sci., Bd. 13 (1), S. 535-555.
- Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru (2019) A Fourier approach to the inverse source problem in an absorbing and anisotropic scattering medium. Inverse Problems, Bd. 36 (5), S. 33.
- Beigl, Alexander; Elbau, Peter; Sadiq, Kamran; Scherzer, Otmar (online: 2018) Quantitative Photoacoustic Imaging in the Acoustic Regime using SPIM. Inverse Problems, Bd. 34 (5), S. 1-15.
- Sadiq, Kamran; Scherzer, Otmar; Tamasan, Alexandru (2016) On the X-ray transform of planar symmetric 2-tensors. J. Math. Anal. Appl., Bd. 442 (1), S. 31-49.
- Sadiq, K.; Tamasan, A. (2015, online: 2014) On the Range of the Attenuated Radon Transform in strictly Convex Sets. Transactions of the American Mathematical Society, Bd. 367 (8), S. 5375--5398.
- Sadiq, K.; Tamasan, A. (2015) On the Range Characterization of the two-dimensional Attenuated Doppler Transform. Society for Industrial and Applied Mathematics (SIAM) Journal on Mathematical Analysis, Bd. 47 (3), S. 2001-2021.
Book/Monograph (2)
- Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru (online: 2023) The algebraic range of the planar $X$-ray transform of symmetric tensors and applications to noise reduction. In Reihe: Mathematics for Industry: Springer Nature Singapore.
- Lopez-Martinez, Montse; Mercier, Gwenael; Sadiq, Kamran; Scherzer, Otmar; Schneider, Magdalena et al. [..] (2021, online: 2020) Inverse Problems of single molecule localization microscopy. In Reihe: Time-dependent Problems in Imaging and Parameter Identification: Springer Nature Switzerland AG (292 Seiten).
Research Report (12)
- Omogbhe, David; Sadiq, Kamran (2021) An inverse source problem for vector field in absorbing and scattering medium. Bericht-Nr. RICAM Report 2021-41; Linz.
- Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru (2021) On a local inversion of the X-ray transform from one sided data. Bericht-Nr. RICAM Report 2021-32; Linz.
- Sadiq, Kamran; Tamasan, Alexandru (2021) Characterization of the range of the X-ray transform on its Fourier Lattice of the torus. Bericht-Nr. RICAM Report 2021-33; Linz.
- Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru (2021) Partial inversion of the 2D attenuated X-ray transform with data on an arc. Bericht-Nr. RICAM Report 2021-23; Linz.
- Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru (2021) A two dimensional source reconstruction method in radiative transport using boundary data measured on an arc. Bericht-Nr. RICAM Report 2021-24; Linz.
- Lopez-Martinez, Montse; Mercier, Gwenael; Sadiq, Kamran; Scherzer, Otmar; Schneider, Magdalena et al. [..] (2020) Inverse Problems of single molecule localization microscopy. Bericht-Nr. RICAM Report 2020-09; Linz.
- Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru (2020) Numerical reconstruction of radiative sources in an absorbing and non-diffusing scattering medium in two dimensions. Bericht-Nr. RICAM Report 2020-8; Linz.
- Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru (2019) A Fourier approach to the inverse source problem in an absorbing and anisotropic scattering medium. Bericht-Nr. RICAM Report 2019-24; Linz.
- Beigl, Alexander; Elbau, Peter; Sadiq, Kamran; Scherzer, Otmar (2017) Quantitative Photoacoustic Imaging in the Acoustic Regime using SPIM. Bericht-Nr. RICAM Report 2017-22; Linz.
- Sadiq, Kamran; Scherzer, Otmar; Tamasan, Alexandru (2015) On the range characterization of the attenuated X-ray transform of planar symmetric 2-tensors. Bericht-Nr. RICAM Report 2015-07; Linz.
- Sadiq, Kamran; Tamasan, Alexandru (2014) On the range characterization of the two-dimensional attenuated Doppler transform.
- Sadiq, Kamran; Tamasan, Alexandru (2013) On the range of the attenuated Radon transform in strictly convex sets.