Multileaf collimator field Segmentation without tongue-andgroove effect

Thomas Kalinowski

doi:10.18453/rosdok_id00005901

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Thomas Kalinowski

Multileaf collimator field Segmentation without tongue-andgroove effect

University of Rostock, Institute of Mathematics, 2004

https://doi.org/10.18453/rosdok_id00005901

Abstract: We present an algorithm for optimal step-and-shoot intensity modulated radiation therapy without interleaf collision and with elimination of tongue-and-groove effects. Adapting the concepts of [6] we characterize the minimal number of monitor units as the maximal weight of a path in a properly constructed weighted digraph. We also show that this number of monitor units can be realized by an unidirectional plan, thus proving that the algorithm of Kamath et al. [10] is monitor unit optimal in general and not only for unidirectional leaf movement. Our characterization of the minimal number of monitor units has the advantage that it can be used to derive a heuristic for the reduction of the number of segments following the ideas of [7].

Workingpaper Freier Zugang

Titel:

Multileaf collimator field Segmentation without tongue-andgroove effect

Schriftenreihe:

Preprints aus dem Institut für Mathematik, 04/3

Beteiligte Personen:

Thomas Kalinowski[VerfasserIn]
	0000-0002-8444-6848
	128420251

Zusammenfassung:

We present an algorithm for optimal step-and-shoot intensity modulated radiation therapy without interleaf collision and with elimination of tongue-and-groove effects. Adapting the concepts of [6] we characterize the minimal number of monitor units as the maximal weight of a path in a properly constructed weighted digraph. We also show that this number of monitor units can be realized by an unidirectional plan, thus proving that the algorithm of Kamath et al. [10] is monitor unit optimal in general and not only for unidirectional leaf movement. Our characterization of the minimal number of monitor units has the advantage that it can be used to derive a heuristic for the reduction of the number of segments following the ideas of [7]. [Englisch]

Dokumenttyp:

Workingpaper

Einrichtung:

Mathematisch-Naturwissenschaftliche Fakultät

Sprache:

Englisch

Sachgruppe der DNB:

510 Mathematik

Umfang:

1 Online-Ressource (23 Seiten)

Veröffentlichung /
Entstehung:

Rostock: University of Rostock, Institute of Mathematics