14
Views
1
CrossRef citations to date
0
Altmetric
Articles

Using regularization and a priori information to enhance tomographic image quality

Pages 147-151 | Published online: 18 Jul 2013

References

  • Natterer, F. The Mathematics of Computerized Tomography, 1986 (Wiley, Chichester).
  • Tikhonov, A. N., Arsenin, V. Ya., Rubashov, I. B. and Timonov, A. A. The first Soviet computer tomograph. Priroda, 1984, 4, 11–21 [in Russian].
  • Tikhonov, A. N., Arsenin, V. Ya. and Timonov, A. A. Mathematical Problems of Computer Tomography, 1987 (Nauka, Moscow ) [in Russian].
  • Troitsky, I. N. Statistical Theory of Tomography, 1989 (Radio i Svyaz’, Moscow ) [in Russian]
  • Sizikov, V. S. Mathematical Methods for Processing the Results of Measurements, 2001 (Politekhnika, Saint Petersburg ) [in Russian]
  • Medoff, B. P. Image reconstruction from limited data: theory and applications in computerized tomography. In Image Recovery: Theory and Application (Ed. H. Stark), 1987, pp. 321–368 (Academic Press, Orlando).
  • Helgason, S. The Radon Transform, 1980 (Birkhauser, Boston).
  • Bracewell, R. N. and Riddle, A. C. Inversion of fan-beam scans in radio astronomy. The Astrophysical Journal, 1967, 150, 427–434.
  • Shepp, L. A. and Logan, B. F. The Fourier reconstruction of a head section. IEEE Trans. Nucl. Sci., 1974, 21, 21–43.
  • Ramachandran, G. N. and Lakshminarayanan, A. V. Three-dimensional reconstruction from radiographs and electron micrographs: application of convolutions instead of Fourier transforms. Proc. Nat. Acad. Sci. USA, 1971, 68, 2236–2240.
  • Sizikov, V. S. Stable computation of the Fourier transform using regularization. Comput. Math. Math. Phys, 1998, 38, 362–372.
  • Shchekotin, D. and Sizikov, V. Enhancement of tomographic image quality by means of a regularization method. In Proc. Int. Topical Meeting on Optical Sensing and Artificial Vision: OSAV’2004, Saint Petersburg, Russia, 18–21 October 2004, Vol. 1, pp. 370–375 (State University ITMO).
  • Verlan’, A. F. and Sizikov, V. S. Integral Equations: Methods, Algorithms, Programs, 1986 (Nauk. Dumka, Kiev ) [in Russian].
  • Pikalov, V. V. and Nepomnjashii, A. V. Iterative algorithm with wavelet filtering in 2D tomography. Comput. Methods Programm., 2003, 4, 244–253 [in Russian].
  • Kolker, A. B. Weighted and recursive algorithms of vector median filtering. In Proceedings Digest of NSTU, 2000, Vol. 22, pp. 23–28 (Novosibirsk State Technical University, Novosibirsk ) [in Russian].

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.