Iterative image reconstruction using prior knowledge

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 23, Issue 6, 2006, Pages 1292-1300

  Shieh, Hsin M ^a   Byrne, Charles L ^b   Testorf, Markus E ^c   Fiddy, Michael A ^d  

^a FENG CHIA UNIVERSITY   (Taiwan)

^b University of Massachusetts Lowell   (United States)

^c DARTMOUTH COLLEGE   (United States)

^d UNIVERSITY OF NORTH CAROLINA AT CHARLOTTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DISCRETE FOURIER TRANSFORMS; ITERATIVE METHODS; KNOWLEDGE BASED SYSTEMS; MATHEMATICAL MODELS; MATRIX ALGEBRA;

DIFFRACTION TOMOGRAPHY; FAR-FIELD SCATTERING; PRIOR DISCRETE FOURIER TRANSFORM;

IMAGE RECONSTRUCTION;

ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; AUTOMATED PATTERN RECOGNITION; COMPUTER ASSISTED DIAGNOSIS; EVALUATION; IMAGE ENHANCEMENT; INFORMATION RETRIEVAL; MATHEMATICAL COMPUTING; METHODOLOGY; SIGNAL PROCESSING;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; INFORMATION STORAGE AND RETRIEVAL; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; PATTERN RECOGNITION, AUTOMATED; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 33745739946     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.23.001292     Document Type: Article

References (20)

1. C. L. Byrne and R. M. Fitzgerald, "Reconstruction from partial information, with applications to tomography," SIAM J. Appl. Math. 42, 933-940 (1982).
2. C. L. Byrne, R. M. Fitzgerald, M. A. Fiddy, T. J. Hall, and A. M. Darling, "Image restoration and resolution enhancement," J. Opt. Soc. Am. 73, 1481-1487 (1983).
3. C. L. Byrne and R. M. Fitzgerald, "Spectral estimators that extend the maximum entropy and maximum likelihood methods," SIAM J. Appl. Math. 44, 425-442 (1984).
4. C. L. Byrne and M. A. Fiddy, "Image as power spectral; reconstruction as a Wiener filter approximation," Inverse Probl. 4, 399-409 (1988).
5. H. M. Shieh, C. L. Byrne, and M. A. Fiddy, "Image reconstruction: a unifying model for resolution enhancement and data extrapolation. Tutorial," J. Opt. Soc. Am. A 23, 258-266 (2006).
6. C. L. Byrne, Signal Processing: A Mathematical Approach (AK Peters, 2005).
7. S. Kaczmarz, "Angenaherte auflosung von system linearer gleichungen," Bull. Int. Acad. Pol. Sci. Lett., Cl. Sci. Math. Nat., Ser. A 35, 355-357 (1937).
8. R. Gordon, R. Bender, and G. T. Herman, "Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography," J. Theor. Biol. 29, 471-481 (1970).
9. K. Tanabe, "Projection method for solving a singular system of linear equations and its applications," Numer. Math. 17, 203-214 (1971).
10. R. Gordon, "A tutorial on ART," IEEE Trans. Nucl. Sci. NS-21, 78-93 (1974).
11. G. T Herman and A. Lent, "Iterative reconstruction algorithms," Comput. Biol. Med. 6, 273-294 (1976).
12. G. T. Herman and H. K. Tuy, "Image reconstruction from projections: an approach from mathematical analysis," in Basic Methods of Tomography and Inverse Problems., P. C. Sabatier, ed. (Hilger, 1987), pp. 1-124.
13. G. T. Herman, Image Reconstruction from Projections: The Fundamentals of Computerized Tomography (Academic, 1980).
14. G. T. Herman and L. B. Meyer, "Algebraic reconstruction techniques can be made computationally efficient," IEEE Trans. Med. Imaging 12, 600-609 (1993).
15. H. Guan and R. Gordon, "A projection access order for speedy convergence of ART (algebraic reconstruction technique): a multilevel scheme for computed tomography," Phys. Med. Biol. 39, 2005-2022 (1994).
16. G. T. Herman, "A relaxation method for reconstructing objects from noisy X-rays," Math. Program. 8, 1-19 (1975).
17. G. T. Herman, A. Lent, and P. H. Lutz, "Relaxation methods for image reconstruction," Common. ACM 21, 152-158 (1978).
18. M. R. Trummer, "Reconstructing pictures from projections: on the convergence of the ART algorithm with relaxation," Computing 26, 189-195 (1981).
19. M. Bertero and P. Boccacci, Introduction to Inverse Problems in Imaging (Institute of Physics, 1998).
20. P. Eggermont, G. T. Herman, and A. Lent, "Iterative algorithms for large partitioned linear systems, with applications to image reconstruction," Linear Algebr. Appl. 40, 37-67 (1981).