Approximated MLC shape matrix decomposition with interleaf collision constraint

Authors

  • Thomas Kalinowski University of Rostock, Institute for Mathematics
  • Antje Kiesel University of Rostock, Institute for Mathematics

Keywords:

intensity modulated radiation therapy (IMRT), multileaf collimator, combinatorial optimization, programming involving graphs

Abstract

Shape matrix decomposition is a subproblem in radiation therapy planning. A given fluence matrix A has to be decomposed into a sum of shape matrices corresponding to homogeneous fields that can be shaped by a multileaf collimator (MLC). We solve the problem of minimizing the delivery time for an approximation of A satisfying certain prescribed bounds, under the additional condition that the used MLC requires the interleaf collision constraint.

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Published

2009-02-03

How to Cite

Kalinowski, T., & Kiesel, A. (2009). Approximated MLC shape matrix decomposition with interleaf collision constraint. Algorithmic Operations Research, 4(1), Pages 49 – 57. Retrieved from https://journals.lib.unb.ca/index.php/AOR/article/view/8286

Issue

Vol. 4 No. 1 (2009)

Section

Articles

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