Constrained decompositions of integer matrices and their applications to intensity modulated radiation therapy

DOI10.1002/net.20324zbMath1201.15015OpenAlexW2397650988MaRDI QIDQ3057140

Samuel Fiorini, Céline Engelbeen

Publication date: 24 November 2010

Published in: Networks (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/net.20324

zbMATH Keywords

radiation therapyconsecutive ones propertydecomposition of integer matricesmultileaf collimator

Mathematics Subject Classification ID

Medical applications (general) (92C50) Matrices of integers (15B36)

Related Items (6)

A closest vector problem arising in radiation therapy planning ⋮ A function approximation approach to the segmentation step in IMRT planning ⋮ An integer linear programming formulation for the minimum cardinality segmentation problem ⋮ Mathematical optimization in intensity modulated radiation therapy ⋮ Mathematical optimization in intensity modulated radiation therapy ⋮ A shortest path-based approach to the multileaf collimator sequencing problem

Cites Work

• Inverse radiation therapy planning -- a multiple objective optimization approach
• Decomposition of integer matrices and multileaf collimator sequencing
• A new algorithm for optimal multileaf collimator field segmentation
• A duality based algorithm for multileaf collimator field segmentation with interleaf collision constraint
• On a routing problem
• Minimizing beam-on time in cancer radiation treatment using multileaf collimators
• A network flow algorithm to minimize beam‐on time for unconstrained multileaf collimator problems in cancer radiation therapy

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