Adel Faridani's Research Page: Computed Tomography and Sampling
Publications and Preprints
Acknowledgement: The material posted here is based on 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.
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.
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.
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.
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.
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),
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
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.
here to request a reprint.
A. Faridani: Results, old and new, in computed tomography.
In: Inverse Problems in Wave Propagation, G. Chavent et al.
The IMA Volumes in Mathematics and its Applications, Vol. 90,
Springer Verlag, New York, 1997, pp. 167-193.
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.
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