Document Detail


A fast algorithm for solving a linear feasibility problem with application to Intensity-Modulated Radiation Therapy.
MedLine Citation:
PMID:  18438465     Owner:  NLM     Status:  Publisher    
Abstract/OtherAbstract:
The goal of Intensity-Modulated Radiation Therapy (IMRT) is to deliver sufficient doses to tumors to kill them, but without causing irreparable damage to critical organs. This requirement can be formulated as a linear feasibility problem. The sequential (i.e., iteratively treating the constraints one after another in a cyclic fashion) algorithm ART3 is known to find a solution to such problems in a finite number of steps, provided that the feasible region is full dimensional. We present a faster algorithm called ART3+. The idea of ART3+ is to avoid unnecessary checks on constraints that are likely to be satisfied. The superior performance of the new algorithm is demonstrated by mathematical experiments inspired by the IMRT application.
Authors:
Gabor T Herman; Wei Chen
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Publication Detail:
Type:  JOURNAL ARTICLE    
Journal Detail:
Title:  Linear algebra and its applications     Volume:  428     ISSN:  -     ISO Abbreviation:  Linear Algebra Appl     Publication Date:  2008 Mar 
Date Detail:
Created Date:  2009-3-5     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101322199     Medline TA:  Linear Algebra Appl     Country:  -    
Other Details:
Languages:  ENG     Pagination:  1207-1217     Citation Subset:  -    
Affiliation:
Department of Computer Science, The Graduate Center, City University of New York, New York, NY 10016-4309, United States.
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Descriptor/Qualifier:
Grant Support
ID/Acronym/Agency:
R01 HL070472-07//NHLBI NIH HHS

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