Abstract:
Algebraic reconstruction techniques (ART) are iterative procedures for recovering objects from their projections. It is claimed that by a careful adjustment of the order ...Show MoreMetadata
First Page of the Article

Abstract:
Algebraic reconstruction techniques (ART) are iterative procedures for recovering objects from their projections. It is claimed that by a careful adjustment of the order in which the collected data are accessed during the reconstruction procedure and of the so-called relaxation parameters that are to be chosen in an algebraic reconstruction technique, ART can produce high-quality reconstructions with excellent computational efficiency. This is demonstrated by an example based on a particular (but realistic) medical imaging task, showing that ART can match the performance of the standard expectation-maximization approach for maximizing likelihood (from the point of view of that particular medical task), but at an order of magnitude less computational cost.<>
Published in: IEEE Transactions on Medical Imaging ( Volume: 12, Issue: 3, September 1993)
DOI: 10.1109/42.241889
First Page of the Article

References is not available for this document.
Select All
1.
R. Gordon, R. Bender and G. Herman, "Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and X-ray photography", J. Theoret. Biol., vol. 29, pp. 471-482, 1970.
2.
S. Kaczmarz, "Angentihrte Auflosung von Systemen linearer Gleichunen", Bull. Int. Acad. Pol. Sci. Lett. A, vol. 35, pp. 355-357, 1937.
3.
G. T. Herman and D. Odhner, "Performance evaluation of an iterative image reconstruction algorithm for positron emission tomography", IEEE Trans. Med. Imag., vol. 10, pp. 336-346, 1991.
4.
L. A. Shepp and Y. Vardi, "Maximum likelihood reconstruction in positron emission tomography", IEEE Trans. Med. Imag., vol. 1, pp. 113-122, 1982.
5.
Positron Emission Tomography, New York:Alan R. Liss, Inc., 1985.
6.
G. Τ. Herman, Η. Κ. Tuy, K. J. Langenberg and P. C. Sabatier, Βasic Methods of Tomography and Inverse Problems, England, Bristol:Adam Hilger, 1987.
7.
G. T. Herman, Image Reconstruction from Projections: The Fundamentals of Computerized Tomography, New York:Academic Press, 1980.
8.
R. M. Lewitt, "Alternatives to voxels for image representation in iterative reconstruction algorithms", Phys. Med. Biol., vol. 37, pp. 705-716, 1992.
9.
L. Kaufman, "Implementing and accelerating the EM algorithm for positron emission tomography", IEEE Trans. Med. Imag., vol. 6, pp. 37-51, 1987.
10.
A method and apparatus for examination of the body by radiation such as Χ or gamma radiation, 1972.
11.
R. A. Robb, J. F. Greenleaf, E. L. Ritman, S. A. Johnson, 3. Sjostrand, G. Τ. Herman, et al., "Three-dimensional visualization of the intact thorax and contents: a technique for cross-sectional reconstruction from multiplanar X-ray views", Comput. Biomed. Res., vol. 7, pp. 395-419, 1974.
12.
Μ. C. A. van Dijke, Iterative methods in image reconstruction, 1992.
13.
Τ. A. Gooley and Η. Η. Barrett, "Evaluation of statistical methods of image reconstruction through ROC analysis", IEEE Trans. Med. Imag., vol. 11, pp. 276-283, 1992.
14.
A. Alavi, R. Dann, J. Chawluk, J. Alavi, M. Kushner and M. Reivich, "Positron emission tomography imaging of regional cerebral glucose metabolism", Sem. Nucl. Med., vol. 16, pp. 2-34, 1986.
15.
R. F. Mould, Introduction to Medical Statistics, England, Bristol:Adam Hilger, 1989.
16.
G. Τ. Herman, R. M. Lewitt, D. Odhner and S. W. Rowland, SΝΑRΚ89—a programming system for image reconstruction from projections, 1989.
17.
J. Zheng and G. T. Herman, "On the use of prior information by maximum likelihood reconstructions in emission tomography", Proc. 14th Ann. Int. Conf. IEEE Engrg. Med. Biol. Soc., pp. 2046-2047, 1992.
18.
P. P. B. Eggermont, G. T. Herman and A. Lent, "Iterative algorithms for for large partitioned systems with applications to image reconstruction", Linear Algebra Appl., vol. 40, pp. 37-67, 1981.
19.
G. T. Herman and H. Levkowitz, "Initial performance of block-iterative reconstruction algorithms" in Mathematics and Computer Science in Medical Imaging, Berlin:Springer-Verlag, pp. 305-317, 1987.