Approximated matrix decomposition for IMRT planning with multileaf collimators

DOI10.1007/s00291-009-0168-5zbMath1231.90399OpenAlexW2074254827MaRDI QIDQ626635

Konrad Engel, Antje Kiesel

Publication date: 18 February 2011

Published in: OR Spectrum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00291-009-0168-5

zbMATH Keywords

IMRT planningmultileaf collimatorapproximated segmentationintensity matrix

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Management decision making, including multiple objectives (90B50) Medical applications (general) (92C50) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (3)

Combinatorial Benders cuts for decomposing IMRT fluence maps using rectangular apertures ⋮ A function approximation approach to the segmentation step in IMRT planning ⋮ A minimum cost flow formulation for approximated MLC segmentation

Cites Work

• Fast simultaneous angle, wedge, and beam intensity optimization in inverse radiotherapy planning
• The complexity of minimizing the number of shape matrices subject to minimal beam-on time in multileaf collimator field decomposition with bounded fluence
• Decomposition of integer matrices and multileaf collimator sequencing
• A new algorithm for optimal multileaf collimator field segmentation
• An Optimization Framework for Conformal Radiation Treatment Planning
• 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
• Realization of Intensity Modulated Radiation Fields Using Multileaf Collimators

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