Abstract
Commonly used iterative techniques for image reconstruction from projections include ART (Algebraic Reconstruction Technique) and SIRT (Simultaneous Iterative Reconstruction Technique). It has been shown that these are the two extremes of a general family of block-iterative image reconstruction techniques. Here we show that the initial performance of these commonly used extremes can be bested by other members of the family.
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References
Ben-Israel, A. and Greville, T.N.E. (1974). Generalized. Inverses: Theory and Applications, John Wiley and Sons, New York.
Censor, Y. (1983). Finite series expansion reconstruction methods, Proc. IEEE 71, pp. 409–419.
Cimmino, G. (1938). Calcolo approssimato per le soluzioni dei sistemi di equazioni lineari, La Ricerca Scientificia (Roma) XVI, Ser. II, Anno IX 1, pp. 326–333.
Eggermont, P.P.B., Herman, G.T., and Lent, A. (1981). Iterative algorithms for large partitioned linear systems with applications to image reconstruction, Lin. Alg. Appl. 40, pp. 37–67.
Gilbert, P.F.C. (1972). Iterative methods for three-dimensional reconstruction of an object from projections, J. Theor. Biol. 36, pp. 105–117.
Gordon, R., Bender, R., and Herman, G.T. (1970). Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography, J. Theor. Biol. 29, pp. 471–482.
Herman, G.T. (1980). Image Reconstruction from Projections: The Funda- mentals of Computerized Tomography, Academic Press, New York.
Herman, G.T., Robb, R.A., Gray, J.E., Lewitt, R.M., Reynolds, R.A., Smith, B., Tuy, H., Hanson, D.P., and Kratz, C.M. (1982). Reconstruction algorithms for dose reduction in x-ray computed tomography, Proc. MEDCOMP ‘82, Philadelphia, pp. 448–455.
Herman, G.T., Levkowitz, H., Tuy, H.K., and McCormick, S. (1984). Multilevel image reconstruction. In: Multiresolution Image Processing and Analysis, A. Rosenfeld (ed.), Springer-Verlag, Berlin, pp. 121–13.
Kaczmarz, S. (1937). Angenäherte Auflösung von Systemen linearer Gleichungen. Bull. Acad. Polon. Sci. Lett. A, pp. 355–357.
Lewitt, R.M. (1982). Mini-SNARK: Version 2, Technical Report MIPG68, Medical Image Processing Group, Department of Radiology, University of Pennsylvania.
Lewitt, R.M. (1983). Reconstruction algorithms: transform methods, Proc. IEEE 71, pp. 390–408.
Oppenheim, B.E. (1977). Reconstruction tomography from incomplete projections, In: Reconstruction Tomography in Diagnostic Radiology and Nuclear Medicine, M.M. Ter-Porgossian et al. (eds.), University Park Press, Baltimore, pp. 155–183.
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Herman, G.T., Levkowitz, H. (1988). Initial Performance of Block-Iterative Reconstruction Algorithms. In: Viergever, M.A., Todd-Pokropek, A. (eds) Mathematics and Computer Science in Medical Imaging. NATO ASI Series, vol 39. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83306-9_14
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DOI: https://doi.org/10.1007/978-3-642-83306-9_14
Publisher Name: Springer, Berlin, Heidelberg
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