Binary Steering of Nonbinary Iterative Algorithms

Yair Censor; Samuel Matej

doi:10.1007/978-1-4612-1568-4_12

Binary Steering of Nonbinary Iterative Algorithms

Yair Censor, Samuel Matej

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

Existing algorithms for binary image reconstruction that can handle two-dimensional problems are mainly of a combinatorial nature. This has,so far, hindered their direct application to fully three-dimensional binary problems. This chapter proposes a steering scheme by which non-binary iterative reconstruction algorithms can be steered towards a binary solution of a binary problem. Experimental studies show the viability of this approach.

Original language	English
Title of host publication	Discrete Tomography
Subtitle of host publication	Foundations, Algorithms, and Applications
Editors	Gabor T. Herman, Attila Kuba
Place of Publication	Boston, MA
Publisher	Birkhäuser Boston
Pages	285-296
Number of pages	12
ISBN (Electronic)	978-1-4612-1568-4
ISBN (Print)	978-1-4612-7196-3
DOIs	https://doi.org/10.1007/978-1-4612-1568-4_12
State	Published - 1999

Publication series

Name	Applied and Numerical Harmonic Analysis
Publisher	Birkhäuser Boston
ISSN (Print)	2296-5009
ISSN (Electronic)	2296-5017

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10.1007/978-1-4612-1568-4_12

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title = "Binary Steering of Nonbinary Iterative Algorithms",

abstract = "Existing algorithms for binary image reconstruction that can handle two-dimensional problems are mainly of a combinatorial nature. This has,so far, hindered their direct application to fully three-dimensional binary problems. This chapter proposes a steering scheme by which non-binary iterative reconstruction algorithms can be steered towards a binary solution of a binary problem. Experimental studies show the viability of this approach.",

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AB - Existing algorithms for binary image reconstruction that can handle two-dimensional problems are mainly of a combinatorial nature. This has,so far, hindered their direct application to fully three-dimensional binary problems. This chapter proposes a steering scheme by which non-binary iterative reconstruction algorithms can be steered towards a binary solution of a binary problem. Experimental studies show the viability of this approach.

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ER -

Binary Steering of Nonbinary Iterative Algorithms

Abstract

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