Adel Faridani's Research Page: Computed Tomography and Sampling


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Links to student's theses

Publications and Preprints


Hussain Al-Hammali and Adel Faridani: Uniform and non-uniform sampling of bandlimited functions at minimal density with a few additional samples.
Sampling Theory, Signal Processing, and Data Analysis 21(1), 2023.
DOI https://doi.org/10.1007/s43670-022-00041-7 (Open Access, published online 28 October 2022)

Hussain Al-Hammali and Adel Faridani: A sampling theorem by perturbing the zeros of a sine-type function
Applicable Analysis 100(14), 2021, pp. 3083--3095, DOI: 10.1080/00036811.2020.1712365 (Preprint)

Hussain Al-Hammali and Adel Faridani: The zeros of a sine-type function and the peak value problem,
Signal Processing 167(2020) 107274 (Preprint)

Angelynn R Alvarez, Malena Español, Adel Faridani, Cynthia V Flores, Alison Marr, Jenny McNulty,
Elaine Newman, Rebecca Nugent, Alice Seneres, Martha Shott, William Y Vélez, Erica Walker:
The PCMI workshop for mentors: A weeklong workshop on diversity?,
Notices of the American Mathematical Society, 65(5), 2018, pp. 586--591.

T. Humphries, J. Winn and A. Faridani:
Superiorized algorithm for reconstruction of CT images from sparse-view and limited-angle polyenergetic data,
Physics in Medicine and Biology, 62(2017), pp. 6762--6783. (Preprint)

A. Faridani and R. Hass: On numerical analysis of view dependent derivatives in computed tomography.
Journal of Mathematical Imaging and Vision, July 2015, Volume 52, Issue 3, pp. 356-368. (Preprint)

T. Humphries and A. Faridani, Reconstruction of CT images from sparse-view polyenergetic data using total variation minimization,
2015 IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC), 2015, pp. 1-5, doi: 10.1109/NSSMIC.2015.7582013. (Preprint)

T. Humphries and A. Faridani: Segmentation-free quasi-Newton method for polyenergetic CT reconstruction.
2014 IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC) 2014, pp. 1-5, doi: 10.1109/NSSMIC.2014.7430945. (Preprint)

Bradley M. Wood, Kyungmin Ham, Daniel S. Hussey, David L. Jacobson, Adel Faridani, Anders Kaestner, John J. Vajo, Ping Liu,
Tabbetha A. Dobbins, and Leslie G. Butler:
Real-time observation of hydrogen absorption by LaNi_5 with quasi-dynamic neutron tomography.
Nuclear Instruments and Methods in Physics Research B 324 (2014) pp. 95--101.

R. Hass and A. Faridani: Regions of backprojection and comet tail artifacts for pi-line reconstruction formulas in tomography.
SIAM Journal on Imaging Sciences 2012, Vol. 5, No. 4, pp. 1159-1184

A. Faridani, R. Hass, and D. C. Solmon: Numerical and Theoretical Explorations in Helical and Fan-Beam Tomography.
Journal of Physics: Conference Series 124 (2008) 012024. (Open Access)

H. Behmard, A. Faridani, and D. Walnut: Construction of Sampling Theorems for Unions of Shifted Lattices.
The final version of this article appeared in Sampling Theory in Signal and Image Processing, 5(2006), pp. 297-319.

A. Faridani: Fan-Beam Tomography and Sampling Theory.
The final version of this article appeared in Proceedings of Symposia in Applied Mathematics, Vol. 63, American Mathematical Society, 2006, pp. 43-66.

A. Faridani: Sampling Theory and Parallel-Beam Tomography.
The final version of this article appeared in: Sampling, Wavelets, and Tomography, J.J. Benedetto and A. I. Zayed (editors), Birkhauser, Boston, 2004, pp. 225-254.

A. Rieder and A. Faridani: The Semi-Discrete Filtered Backprojection Algorithm is Optimal for Tomographic Inversion.
The final version of this article appeared in SIAM J. Num. Anal., 41 (2003), pp. 869-892.

A. Faridani: Introduction to the Mathematics of Computed Tomography.
The final version of this article appeared in: Inside Out: Inverse Problems and Applications, G. Uhlmann (editor), MSRI Publications Vol. 47, Cambridge University Press, 2003, pp. 1-46.

Text file with MATLAB code for parallel-beam filtered backprojection algorithm. Last revision: August 29, 2001
Binary data file pelvis.ctd for problem 6.
Binary data file phantom.ctd.
Text file with explanation for data files and MATLAB source code for fan-beam filtered backprojection algorithm (last revision May 10, 2007).

H. Behmard and A. Faridani: Sampling of bandlimited functions on unions of shifted lattices.
The final version of this article appeared in J. Fourier Anal. Appl., 8(2002), no. 1, pp. 43-58.

MATLAB M-files from section 4: bfdriver.m (main routine), bfmethod.m , SM.m

A. Faridani, K. Buglione, P. Huabsomboon, O. D. Iancu, and J. McGrath: Introduction to Local Tomography.
The final version of this article appeared in: Radon Transforms and Tomography, E. T. Quinto et al. (editors), Contemporary Mathematics, Vol. 278, American Mathematical Society, Providence, Rhode Island, 2001, pp. 29-47.

A. Faridani and E. L. Ritman: High-resolution computed tomography from efficient sampling.
Inverse Problems, Volume 16, Number 3, (2000), pp. 635-650.
Members of institutions subscribing to Inverse Problems can access the article on the web via http://www.iop.org/EJ/welcome

A. Faridani: Sampling in parallel-beam tomography.
The final version of this article appeared in: Inverse Problems, Tomography, and Image Processing, A.G. Ramm (editor), Plenum, New York, 1998, pp. 33-53.

A. Faridani, D.V. Finch, E.L. Ritman, and K.T. Smith: Local Tomography II.
SIAM J. Appl. Math. 57 (1997), pp. 1095-1127. Click here to request a reprint.

A. Faridani: Results, old and new, in computed tomography.
In: Inverse Problems in Wave Propagation, G. Chavent et al. (editors), The IMA Volumes in Mathematics and its Applications, Vol. 90, Springer Verlag, New York, 1997, pp. 167-193.
Click here to request a reprint.

A. Faridani: A generalized sampling theorem for locally compact abelian groups.
The final version of this article appeared in: Mathematics of Computation, vol. 63(1994), pp. 307-327.

Acknowledgement:

The material posted here includes work supported by the National Science Foundation under grants DMS-9404436, DMS-9803352, DMS-0206752, and DMS-0709495. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.



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faridani@math.orst.edu