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Decomposition of Matrices and Static Multileaf Collimators: A Survey

  • Multileaf Collimators (MLC) consist of (currently 20-100) pairs of movable metal leaves which are used to block radiation in Intensity Modulated Radiation Therapy (IMRT). The leaves modulate a uniform source of radiation to achieve given intensity profiles. The modulation process is modeled by the decomposition of a given non-negative integer matrix into a non-negative linear combination of matrices with the (strict) consecutive ones property.

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Author:Matthias Ehrgott, Horst W. Hamacher, Marc Nußbaum
URN (permanent link):urn:nbn:de:hbz:386-kluedo-14673
Serie (Series number):Report in Wirtschaftsmathematik (WIMA Report) (101)
Document Type:Preprint
Language of publication:English
Year of Completion:2006
Year of Publication:2006
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2006/11/21
Tag:Intensity modulated radiation therapy; intensity map segmentation; multileaf collimator
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011