Abstract
The variable block ART algorithmic scheme allows the processing of groups of equations (i.e., blocks) which need not be fixed but may rather vary dynamically throughout iterations. The number of blocks, their sizes and the assignment of equations to blocks may all vary, provided that the weights attached to the equations do not fade out in a certain technical sense. Besides encompassing row-action ART, Block-ART and Cimmino-type SIRT, the variable block ART scheme opens new, and as yet unexplored, vistas in algebraic image reconstruction techniques.
This work was supported by NIH grant HL-28438 while visiting the Medical Image Processing Group (MIPG) at the Department of Radiology, Hospital of the University of Pennsylvania, Philadelphia, PA., USA.
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© 1991 Springer-Verlag Berlin Heidelberg
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Censor, Y. (1991). On variable block algebraic reconstruction techniques. In: Herman, G.T., Louis, A.K., Natterer, F. (eds) Mathematical Methods in Tomography. Lecture Notes in Mathematics, vol 1497. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084514
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DOI: https://doi.org/10.1007/BFb0084514
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