X-ray computed tomography for medical imaging

IEEE Signal Processing Magazine

Volumn 14, Issue 2, 1997, Pages 42-59

  Hiriyannaiah, Harish P ^a  

^a InfoGain   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; IMAGE RECONSTRUCTION; MATHEMATICAL TRANSFORMATIONS; MEDICAL IMAGING; OBJECT RECOGNITION; THREE DIMENSIONAL; X RAYS;

RADON TRANSFORM; TWO DIMENSIONAL;

COMPUTERIZED TOMOGRAPHY;

EID: 85032751192     PISSN: 10535888     EISSN: None     Source Type: Journal    
DOI: 10.1109/79.581370     Document Type: Article

References (41)

1. 3 log n) Time. Physics in Medicine and Biology, pages 477-491, 1994.
2. R.N. Bracewell. Strip Integration in Radio Astronomy. Aust. J. Physics, 9:198-217, 1956.
3. J.A. Brink, J. P. Heiken, G. Wang, McEnery K. W., Schlueter F. J., and M. W. Vannier. Helical CT: Principles and Technical Considerations. Radio Graphics, 14(4):887-893, July 1994.
4. R. Courant and D. Hubert. Methods of Mathematical Physics, volume 1. Interscience, New York, 1953.
5. C.R. Crawford and K.F. King. Computed Tomography Scanning with Simultaneous Patient Translation. Medical Physics, 17(6):967-982, Nov/Dec 1990.
6. R.E. Crochiere and L.R. Rabiner. Mulitrate Digital Signal Processing. Prentice Hall, NJ, 1983.
7. S.R. Deans. The Radon Transform and Some of Its Applications. John Wiley, 1983.
8. M. Defrise and R. Clack. Cone-beam Reconstruction by the Use of Radon Transform Intermediate Functions. Journal of the Optical Society of America A, 11(2):580-585, February 1994.
9. M. Defrise, R. Clack, and R. Leahy. A Note on Smith's Reconstruction Algorithm for Cone Beam Tomography. IEEE Transactions on Medical Imaging, 12(3):627-628, September 1993.
10. P.R. Edholm and G.T. Herman. Linograms in Image Reconstruction from Projections. IEEE Transactions on Medical Imaging, 6(4):301-307, December 1987.
11. L.A. Feldkamp, L.C. Davis, and J.W. Kress. Practical Cone-beam Algorithm. Journal of the Optical Society of America A, 1(6):612-619, June 1984.
12. P. Grangeat. Mathematical Framework of Cone Beam 2-D Reconstruction via the First Derivative of the Radon Transform. Lecture Notes in Mathematics, 1497(2):66-97, 1991.
13. J.P. Heiken, J.A. Brink, and M.W. Vannier. Spiral (Helical) CT. Radiology, 189(3):647-656, December 1993.
14. H.P. Hiriyannaiah, M. Satyaranjan, and K.R. Ramakrishnan. Reconstruction from Incomplete Data in Cone beam Tomography. Optical Engineering, 35(9):2748-2760, Sept 1996.
15. H.P. Hiriyannaiah, W.E. Snyder, and G.L. Bilbro. Noise in Reconstructed images in Tomography: Parallel, Fan and Cone beam Projection. In Proc. IEEE Conference on CBMS, Chapel Hill, NC, June 1990.
16. B.K.P. Horn. Density Reconstruction Using Arbitrary Ray-Sampling Schemes. Proceedings of the IEEE, 66(5):551-562, May 1978.
17. R. Horubeck. Numerical Methods. Jong Guang Co., Taiwan, 1981.
18. H. Fuchs, K.H. Hoehne, and S.M. Pizer, editors. 3D Imaging in Medicine: Algorithms, Systems, Applications. Springer Verlag, 1990.
19. A.C. Kak and A. Rosenfeld. Digital Picture Processing, volume 1. Academic Press, 2nd edition, 1982.
20. A.C. Kak and M. Slaney. Principles of Computerized Tomographic Imaging. IEEE Press, 1988.
21. W.A. Kalendar. Thin-Section Three-dimensional Spiral CT: Is Isotropic Imaging Possible? Radiology, 197(3):578-580, December 1995.
22. A.A. Kirillov. On a Problem of I.M. Gelfand. Sov. Math. Dokl., 2:268-269, 1961.
23. H. Kudo and T. Saito. Tomographic Image Reconstruction from Incomplete Cone Beam Projections by the Method of Convex Projections. Electronics and Communication in Japan, Part 3, 74(9):54-62, January 1991.
24. J.L. Prince and A.S. Willsky Hierarchical Reconstruction Using Geometry and Sino-gram Restoration. IEEE Transactions on Image Processing, 2(3):401-416, July 1993.
25. A. Naperstek. Short-scan Fan-beam Algorithms for CT. IEEE Trans on Nucl. Sci., NS-27, 1980.
26. A.V. Oppenheim and R.W. Schaffer. Digital Signal Processing. Prentice-Hall, 1975.
27. D.L. Parker. Optimal Short-scan Convolution Reconstruction for Fan-beam CT. Med. Phys., 9:254-257,1982.
28. J. Radon. Uber die Bestimmung von Funktionen durch ihre Integral werte langs gewisser Mannigfaltigkeiten. Berichte Saechsische Akademie der Wissenshcafien, 69:262-279, 1917.
29. G.N. Ramachandran and A.V. Lakshminarayanan. Three-dimensional Reconstruc-tion from Radiographs and Electron Micrographs: Application of Convolution Instead of Fourier Transforms. Proceedings of the National Academy of Sciences U.S., 68:2236-2240,1970.
30. S.J. Riederer, N.J. Pelc, and D.A. Chesler. The Noise Power Spectrum in Computed X-ray Tomography. Physics in Medicine and Biology, 23(3):446-454, 1978.
31. B.D. Smith. Derivation of the Extended Fan-beam Formula. IEEE Transactions on Medical Imaging, MI-4: 177-184,1985.
32. B.D. Smith. Image Reconstruction from Cone-Beam Projections: Necessary and Sufficient Conditions and Reconstruction Methods. IEEE Transactions on Medical Imaging, MI-4(1):14-25, March 1985.
33. B.D. Smith. Computer-aided Tomographic Imaging from Cone-beam Data. PhD thesis, University of Rhode Island, 1987.
34. B.D. Smith. Cone-Beam Tomography: Recent Advances and a Tutorial Review. Optical Engineering, 5:524-534, May 1990.
35. B.D. Smith and J. Chen. Implementation, Investigation, and Improvement of a Novel Cone-Beam Reconstruction Method. IEEE Transactions on Medical Imaging, MI-11(2):260-266, June 1992.
36. K.T. Smith, D.C. Solman, S.L. Wagner, and Hamaker. Mathematical Aspects of Divergent Beam Radiography. Proc. Natl. Acad.. USA, 75(5):2055-2058, May 1978.
37. H.K. Tuy. An Inversion Formula for Cone-Beam Reconstruction. SIAM Journal of Applied Mathematics, 43(3):546-551, June 1983.
38. J.K. Udupa and G.T. Herman, editors. 3D Imaging in Medicine. CRC Press, 1989.
39. S.A. Teukolsky W.H. Press, B.P. Flannery and W.T. Vetterling. Numerical Recipes in C: The Art of Scientific Computing. Cambridge Univ. Press, 1988.
40. G. Wang, T. Lin, P. Cheng, and D.M. Shinozaki. A General Cone-Beam Reconstruction Algorithm. IEEE Transactions on Medical Imaging, 12(3):486-496, September 1993.
41. G. Wang and M.W. Vannier. Helical CT Image Noise - Analytical Results. Medical Physics, 20(6): 1635-1640, Nov/Dec 1993.