mycoreobjectrosdok_document_0000028038rosdok_document_0000028038rosdokdocumentrosdok_derivate_00002299392026-10-21T12:28:02.343Z2026-10-21T12:20:47.878ZeditorKEeditorKEpublished1rosdok_derivate_0000229939truetruederivate_types:fulltextVolltextfulltextwf_edit_epub wf_register_epubstate:publishedstate:publishedveröffentlichtpublishedrosdok_id000059011987266099Oau2026-10-212026-10-21T12:28:01ZrdaConverted from PICA to MODS using Pica2MODS XSLT Transformer 2.14-SNAPSHOT [SCM: "" "" ""] with mode 'DEFAULT'.WorkingpaperMultileaf collimator field Segmentation without tongue-andgroove effectWe 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].ThomasKalinowski1980 -VerfasserInaut1284202510000-0002-8444-6848https://purl.uni-rostock.de/rosdok/id00005901urn:nbn:de:gbv:28-rosdok_id00005901-410.18453/rosdok_id00005901510 MathematikMathematisch-Naturwissenschaftliche Fakultätalle Rechte vorbehaltenRechteinhaber Universität Rostockfrei zugänglich (Open Access)Lizenz Metadaten: CC0en1 Online-Ressource (23 Seiten)2004University of Rostock, Institute of MathematicsRostockmonographic20042026Universitätsbibliothek RostockRostock2026Universitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005901Thomas Kalinowskirosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-804/30004-0003doctype:epubdoctype:epubDokumenttypDocument typedoctype:epub.workingpaperdoctype:epub.workingpaperWorkingpaperworking paperdiniPublType:workingPaper diniPublType2022:WorkingPaperinfo:eu-repo/semantics/workingPaperdocumentdiniPublType2022:WorkingPaperdiniPublType2022:WorkingPaperArbeitspapierWorking paperKDSF (Pu37)SDNB:510SDNB:510510 Mathematik510 Mathematicsinstitution:unirostockinstitution:unirostockUniversität RostockUniversity of RostockUniversität RostockUniversität RostockUni.Rostockhttp://d-nb.info/gnd/38329-6institution:unirostock.mnfinstitution:unirostock.mnfMathematisch-Naturwissenschaftliche FakultätFaculty of Mathematics and Natural SciencesUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätMathematisch-Natur-<br />wissenschaftliche FakultätUni.Rostock.Fakultaet.MNFhttp://d-nb.info/gnd/2147083-2licenseinfo:worklicenseinfo:workWerkworklicenseinfo:work.rightsreservedlicenseinfo:work.rightsreservedalle Rechte vorbehaltenall rights reserved/creativecommons/r/reserved/0.9/88x31.png[DE-28]Urheberrechtsschutz 1.0$gRights Statements$uhttp://rightsstatements.org/vocab/InC/1.0/http://rightsstatements.org/vocab/InC/1.0/http://rightsstatements.org/vocab/InC/1.0/licenseinfo:depositlicenseinfo:depositVeröffentlichungsgenehmigungpermission to storelicenseinfo:deposit.rightsunirostocklicenseinfo:deposit.rightsunirostockRechteinhaber Universität Rostockrightsholder Rostock Universityaccesscondition:openaccessaccesscondition:openaccessfrei zugänglich (Open Access)open accesshttp://purl.org/coar/access_right/c_abf2OAfreeinfo:eu-repo/semantics/openAccess[DE-28]Open Access$gControlled Vocabulary for Access Rights$uhttp://purl.org/coar/access_right/c_abf2licenseinfo:metadatalicenseinfo:metadataLizenzen für Metadatenlicenseinfo:metadata.cc0licenseinfo:metadata.cc0Lizenz Metadaten: CC0license metadata: CC0/creativecommons/p/zero/1.0/88x31.pnghttps://creativecommons.org/publicdomain/zero/1.0/rfc5646:enrfc5646:enEnglischEnglishengengMultileaf collimator field Segmentation without tongue-andgroove effectMultileaf collimator field Segmentation without tongue-andgroove effectgnd:128420251orcid:0000-0002-8444-6848gnd:128420251orcid:0000-0002-8444-6848rosdok_document_0000028038-d3977030e49gnd:128420251orcid:0000-0002-8444-6848Thomas KalinowskiThomas KalinowskiThomas KalinowskiThomas KalinowskiThomas KalinowskiRostockUniversity of Rostock, Institute of Mathematicsepub.workingpaperhttps://purl.uni-rostock.de/rosdok/id00005901urn:nbn:de:gbv:28-rosdok_id00005901-410.18453/rosdok_id00005901We 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].20042004Preprints aus dem Institut für Mathematikrosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-804/30004-0003https://purl.uni-rostock.de/rosdok/id000058163255797-8Thomas Kalinowskiepub.workingpaper1 Kalinowski_multileaf_2004.pdf 230247 b67d39f3e7c6240d447d21ed390c9a49 rosdok_id000059011987266099Oau2026-10-212026-10-21T12:28:01ZrdaConverted from PICA to MODS using Pica2MODS XSLT Transformer 2.14-SNAPSHOT [SCM: "" "" ""] with mode 'DEFAULT'.WorkingpaperMultileaf collimator field Segmentation without tongue-andgroove effectWe 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].ThomasKalinowski1980 -VerfasserInaut1284202510000-0002-8444-6848https://purl.uni-rostock.de/rosdok/id00005901urn:nbn:de:gbv:28-rosdok_id00005901-410.18453/rosdok_id00005901510 MathematikMathematisch-Naturwissenschaftliche Fakultätalle Rechte vorbehaltenRechteinhaber Universität Rostockfrei zugänglich (Open Access)Lizenz Metadaten: CC0en1 Online-Ressource (23 Seiten)2004University of Rostock, Institute of MathematicsRostockmonographic20042026Universitätsbibliothek RostockRostock2026Universitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005901Thomas Kalinowskirosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-804/30004-0003 2026-10-21T12:20:47.878Z 2026-10-21T12:28:02.343Z 2026-10-31T12:28:02.356Z editorKE {"identifier":"rosdok/id00005901","type":"local_id","additional":"","service":"MCRLocalID","created":"2026-10-21T12:20:47.886Z"} {"identifier":"urn:nbn:de:gbv:28-rosdok_id00005901-4","type":"dnbUrn","additional":"","service":"RosDokURN","created":"2026-10-21T12:20:47.892Z"} {"identifier":"https://purl.uni-rostock.de/rosdok/id00005901","type":"purl","additional":"","service":"RosDokPURL","created":"2026-10-21T12:20:47.895Z","registrationStarted":"2026-10-21T12:26:47.649Z"} {"identifier":"10.18453/rosdok_id00005901","type":"doi","additional":"","service":"RosDokDOI","created":"2026-10-21T12:20:47.898Z","registrationStarted":"2026-10-21T12:26:47.428Z","registered":"2026-10-21T12:26:48.894Z"} editorKEfulltextfile/rosdok_document_0000028038/rosdok_derivate_0000229939/Kalinowski_multileaf_2004.pdfMultileaf collimator field Segmentation without tongue-andgroove effectMultileaf collimator field Segmentation without tongue-andgroove effectgnd:128420251orcid:0000-0002-8444-6848gnd:128420251orcid:0000-0002-8444-6848rosdok_document_0000028038-d3977030e49gnd:128420251orcid:0000-0002-8444-6848Thomas KalinowskiThomas KalinowskiThomas KalinowskiThomas KalinowskiThomas KalinowskiRostockUniversity of Rostock, Institute of Mathematicsepub.workingpaperhttps://purl.uni-rostock.de/rosdok/id00005901urn:nbn:de:gbv:28-rosdok_id00005901-410.18453/rosdok_id00005901We 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].20042004Preprints aus dem Institut für Mathematikrosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-804/30004-0003https://purl.uni-rostock.de/rosdok/id000058163255797-8Thomas Kalinowski[xslt]Saxonrosdok_id00005901https://purl.uni-rostock.de/rosdok/id00005901198726609910.18453/rosdok_id00005901urn:nbn:de:gbv:28-rosdok_id00005901-4Thomas KalinowskiKalinowski ThomasMultileaf collimator field Segmentation without tongue-andgroove effectWorkingpaperworking paperUniversity of Rostock, Institute of Mathematics, 2004We 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…rosdok_id000058160004-000304/3Thomas KalinowskiMultileaf collimator field Segmentation without tongue-andgroove effectPreprints aus dem Institut für MathematikUniversitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005901ThomasKalinowski1980 -VerfasserInaut1284202510000-0002-8444-6848[purl]https://purl.uni-rostock.de/rosdok/id00005901[urn]urn:nbn:de:gbv:28-rosdok_id00005901-4[doi]10.18453/rosdok_id00005901open_access20042004epoch:21th_centuryrfc5646:endoctype:epub.workingpaperaccesscondition:openaccessSDNB:510institution:unirostock.mnfstate:published