Mathematics for computer tomography

Physica Scripta T

Volumn 61, Issue , 1996, Pages 38-43

  Gustafsson, Bertil ^a  

^a UPPSALA UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; DIAGNOSTIC RADIOGRAPHY; FAST FOURIER TRANSFORMS; IMAGE RECONSTRUCTION; INVERSE PROBLEMS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; NUMERICAL METHODS; PROBLEM SOLVING; X RAYS;

ALGEBRAIC RECONSTRUCTION METHOD; DIRECT FOURIER METHOD; FILTERED BACK PROJECTION METHOD; MATHEMATICAL THEORY; RADON TRANSFORM; X RAY DIAGNOSIS; X RAY IMAGES; X RAY PROJECTIONS;

COMPUTERIZED TOMOGRAPHY;

EID: 0029734242     PISSN: 02811847     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1088/0031-8949/1996/t61/006     Document Type: Article

References (16)

1. Censor, Y., Proc. IEEE 71, 409 (1983).
2. Censor, Y., Elfving, T. and Herman, G. (Guest Eds) Linear Algebra Appl. 130, 1 (1990).
3. Cooley, J. W. and Tukey, J. W., Math. Comp. 19, 297 (1965).
4. Deans, S., "The Radon transform and some of its applications", (J. Wiley & Sons 1983).
5. Golub, G. H. and van Loan, C., "Matrix Computations", 2nd ed, (The John Hopkins University Press 1989).
6. Hemmingsson, L., Toeplitz preconditioners with block structure for first-order PDEs, Numer. Lin. Alg. Appl., To appear.
7. Herman, G., "Image Reconstruction from Projections. The Fundamentals of Computerized Tomography", (Academic Press, New York, 1980).
8. Herman, G. (Guest Ed), Proc. IEEE 71, 291 (1983).
9. Herman, G. and Natterer, F. (Eds), "Mathematical Aspects of Computerized Tomography", (Springer-Verlag, Berlin, 1981).
10. Herman, G., Louis, A. K. and Natterer, F. (eds), "Mathematical Methods in Tomography", (Proc. Oberwolwach, Springer, 1990).
11. Herman, G., Tuy, H., Langenberg, K. and Sabatier, P., "Basic Methods of Tomography and Inverse Problems", (Adam Hilger, Bristol, 1987).
12. Lewitt, R. M., Proc. IEEE, 71, No. 3, (1983).
13. Magnusson, M., "Linogram and other direct Fourier methods for tomographic reconstruction", Linköping Studies in Science and Technology. Dissertations No. 320, (1993).
14. Magnusson, M., Danielsson, P. E. and Edholm, P., Artefacts and remedies in direct Fourier tomographic reconstruction. Proc. IEEE Med. Imag. Conf., Orlando, pp. 1138-1140, (1992).
15. Natterer, F., "The mathematics of computerized tomography", (J. Wiley & Sons, Chichester 1986).
16. Radon, J., "Über die Bestimmung von Funktionen durch ihre Integralwerte längs gewisser Mannigfaltigkeiten", Ber. Verh. Sächs. Akad. der Wissensch., Math.-Phys. 69, pp 262-267, (1917).