On variable block algebraic reconstruction techniques

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


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.
Original languageEnglish
Title of host publicationMathematical Methods in Tomography
EditorsGabor T. Herman, Alfred K. Louis, Frank Natterer
Place of PublicationBerlin
PublisherSpringer Heidelberg
Number of pages8
ISBN (Electronic)978-3-540-46615-4
ISBN (Print)978-3-540-54970-3
StatePublished - 1991

Publication series

NameLecture Notes in Mathematics
PublisherSpringer Heidelberg
ISSN (Print)0075-8434
ISSN (Electronic)1617-9692


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