3D Fourier based discrete Radon transform

Applied and Computational Harmonic Analysis

Volumn 15, Issue 1, 2003, Pages 33-69

  Averbuch, Amir ^a   Shkolnisky, Yoel ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; FOURIER TRANSFORMS; INTERPOLATION; POLYNOMIALS; RANDOM PROCESSES;

RANDOM TRANSFORM; TRIGONOMETRY;

IMAGE PROCESSING;

EID: 0242489409     PISSN: 10635203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1063-5203(03)00030-7     Document Type: Article

References (10)

1. A. Averbuch, D.L. Donoho, R.R. Coifman, M. Israeli, Y. Shkolnisky, Fast slant stack: A notion of Radon transform for data in Cartesian grid which is rapidly computable, algebraically exact, geometrically faithful and invertible, SIAM J. Sci. Comput., submitted for publication.
2. Y. Shkolnisky, A. Averbuch, R. Coifman, D. Donoho, M. Israeli, 2D Fourier based discrete Radon transform, 2002, submitted for publication.
3. S.R. Deans, The Radon Transform and Some of Its Applications, Krieger, 1993.
4. F. Natterer, The Mathematics of Computerized Tomography, Wiley, 1989.
5. F. Natterer, F. Wubbeling, Mathematical Methods in Image Reconstruction, SIAM, 2001.
6. A. Zygmund, Trigonometric Series, 2nd Edition, Cambridge Univ. Press, 1993, Vols. I, II (combined), Vol. II, Chapter X, pp. 1-6.
7. P.N. Swarztrauber, D.H. Bailey, The fractional Fourier transform and applications, SIAM Rev. 33 (3) (September 1991) 389-404.
8. A.K. Jain, Fundamentals of Digital Image Processing, Prentice-Hall, 1989, Chapter 10, pp. 431-475.
9. T. Malzbender, Fourier volume rendering, ACM Trans. Graph. 12 (3) (July 1993) 233-250.
10. B. Lichtenbelt, Fourier volume rendering, Technical report, Hewlett Packard Laboratories, November 1995.