mycoreobjectrosdok_document_0000028042rosdok_document_0000028042rosdokdocumentrosdok_derivate_00002299432026-10-23T08:51:01.434Z2026-10-22T14:02:36.728ZeditorKEeditorKEpublished1rosdok_derivate_0000229943truetruederivate_types:fulltextVolltextfulltextwf_edit_epub wf_register_epubstate:publishedstate:publishedveröffentlichtpublishedrosdok_id000059061987387872Oau2026-10-222026-10-23T08:51:00ZrdaConverted from PICA to MODS using Pica2MODS XSLT Transformer 2.14-SNAPSHOT [SCM: "" "" ""] with mode 'DEFAULT'.WorkingpaperAnalgorithm for optimal multileaf collimator field segmentation with interleaf collision constraint 2Multileaf collimators are widely used in radiotherapy to realize intensity modulated fields as superpositions of homogeneous fields, so called segments. One important step in the planning process is the decomposition of the modulated field into a small number of segments such that the total number of monitor units is also small. In this paper we present an algorithm that is based on the results of [6] and constructs a segmentation with minimal total number of monitor units and a small number of segments, taking into account a machine–dependent constraint, that forbids leaf overtravel in adjacent rows of the multileaf collimator.ThomasKalinowskiVerfasserInauthttps://purl.uni-rostock.de/rosdok/id00005906urn:nbn:de:gbv:28-rosdok_id00005906-810.18453/rosdok_id00005906510 MathematikMathematisch-Naturwissenschaftliche Fakultätalle Rechte vorbehaltenRechteinhaber Universität Rostockfrei zugänglich (Open Access)Lizenz Metadaten: CC0en1 Online-Ressource (10 Seiten)2003University of Rostock, Institute of MathematicsRostockmonographic20032026Universitätsbibliothek RostockRostock2026Universitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005906Thomas Kalinowskirosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-803/80003-0008doctype: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:enEnglischEnglishengengAnalgorithm for optimal multileaf collimator field segmentation with interleaf collision constraint 2An algorithm for optimal multileaf collimator field segmentation with interleaf collision constraint 2rosdok_document_0000028042-d4011766e50Thomas KalinowskiThomas KalinowskiThomas KalinowskiThomas KalinowskiThomas KalinowskiRostockUniversity of Rostock, Institute of Mathematicsepub.workingpaperhttps://purl.uni-rostock.de/rosdok/id00005906urn:nbn:de:gbv:28-rosdok_id00005906-810.18453/rosdok_id00005906Multileaf collimators are widely used in radiotherapy to realize intensity modulated fields as superpositions of homogeneous fields, so called segments. One important step in the planning process is the decomposition of the modulated field into a small number of segments such that the total number of monitor units is also small. In this paper we present an algorithm that is based on the results of [6] and constructs a segmentation with minimal total number of monitor units and a small number of segments, taking into account a machine–dependent constraint, that forbids leaf overtravel in adjacent rows of the multileaf collimator.20032003Preprints aus dem Institut für Mathematikrosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-803/80003-0008https://purl.uni-rostock.de/rosdok/id000058163255797-8Thomas Kalinowskiepub.workingpaper1 Kalinowski_algorithm_2003.pdf 167408 0daa6812107e49ad330b22c2fa9ddaed rosdok_id000059061987387872Oau2026-10-222026-10-23T08:51:00ZrdaConverted from PICA to MODS using Pica2MODS XSLT Transformer 2.14-SNAPSHOT [SCM: "" "" ""] with mode 'DEFAULT'.WorkingpaperAnalgorithm for optimal multileaf collimator field segmentation with interleaf collision constraint 2Multileaf collimators are widely used in radiotherapy to realize intensity modulated fields as superpositions of homogeneous fields, so called segments. One important step in the planning process is the decomposition of the modulated field into a small number of segments such that the total number of monitor units is also small. In this paper we present an algorithm that is based on the results of [6] and constructs a segmentation with minimal total number of monitor units and a small number of segments, taking into account a machine–dependent constraint, that forbids leaf overtravel in adjacent rows of the multileaf collimator.ThomasKalinowskiVerfasserInauthttps://purl.uni-rostock.de/rosdok/id00005906urn:nbn:de:gbv:28-rosdok_id00005906-810.18453/rosdok_id00005906510 MathematikMathematisch-Naturwissenschaftliche Fakultätalle Rechte vorbehaltenRechteinhaber Universität Rostockfrei zugänglich (Open Access)Lizenz Metadaten: CC0en1 Online-Ressource (10 Seiten)2003University of Rostock, Institute of MathematicsRostockmonographic20032026Universitätsbibliothek RostockRostock2026Universitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005906Thomas Kalinowskirosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-803/80003-0008 2026-10-22T14:02:36.728Z 2026-10-23T08:51:01.434Z 2026-11-02T08:51:01.465Z editorKE {"identifier":"rosdok/id00005906","type":"local_id","additional":"","service":"MCRLocalID","created":"2026-10-22T14:02:36.760Z"} {"identifier":"urn:nbn:de:gbv:28-rosdok_id00005906-8","type":"dnbUrn","additional":"","service":"RosDokURN","created":"2026-10-22T14:02:36.773Z"} {"identifier":"https://purl.uni-rostock.de/rosdok/id00005906","type":"purl","additional":"","service":"RosDokPURL","created":"2026-10-22T14:02:36.778Z","registrationStarted":"2026-10-22T15:26:37.333Z"} {"identifier":"10.18453/rosdok_id00005906","type":"doi","additional":"","service":"RosDokDOI","created":"2026-10-22T14:02:36.783Z","registrationStarted":"2026-10-22T15:26:37.043Z","registered":"2026-10-22T15:26:38.579Z"} editorKEfulltextfile/rosdok_document_0000028042/rosdok_derivate_0000229943/Kalinowski_algorithm_2003.pdfAnalgorithm for optimal multileaf collimator field segmentation with interleaf collision constraint 2An algorithm for optimal multileaf collimator field segmentation with interleaf collision constraint 2rosdok_document_0000028042-d4011766e50Thomas KalinowskiThomas KalinowskiThomas KalinowskiThomas KalinowskiThomas KalinowskiRostockUniversity of Rostock, Institute of Mathematicsepub.workingpaperhttps://purl.uni-rostock.de/rosdok/id00005906urn:nbn:de:gbv:28-rosdok_id00005906-810.18453/rosdok_id00005906Multileaf collimators are widely used in radiotherapy to realize intensity modulated fields as superpositions of homogeneous fields, so called segments. One important step in the planning process is the decomposition of the modulated field into a small number of segments such that the total number of monitor units is also small. In this paper we present an algorithm that is based on the results of [6] and constructs a segmentation with minimal total number of monitor units and a small number of segments, taking into account a machine–dependent constraint, that forbids leaf overtravel in adjacent rows of the multileaf collimator.20032003Preprints aus dem Institut für Mathematikrosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-803/80003-0008https://purl.uni-rostock.de/rosdok/id000058163255797-8Thomas Kalinowski[xslt]Saxonrosdok_id00005906https://purl.uni-rostock.de/rosdok/id00005906198738787210.18453/rosdok_id00005906urn:nbn:de:gbv:28-rosdok_id00005906-8Thomas KalinowskiKalinowski ThomasAn algorithm for optimal multileaf collimator field segmentation with interleaf collision constraint 2Workingpaperworking paperUniversity of Rostock, Institute of Mathematics, 2003Multileaf collimators are widely used in radiotherapy to realize intensity modulated fields as superpositions of homogeneous fields, so called segments. One important step in the planning process is the decomposition of the modulated field into a small number of segments such that the total number…rosdok_id000058160003-000803/8Thomas KalinowskiAnalgorithm for optimal multileaf collimator field segmentation with interleaf collision constraint 2Preprints aus dem Institut für MathematikUniversitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005906ThomasKalinowskiVerfasserInaut[purl]https://purl.uni-rostock.de/rosdok/id00005906[urn]urn:nbn:de:gbv:28-rosdok_id00005906-8[doi]10.18453/rosdok_id00005906open_access20032003epoch:21th_centuryrfc5646:endoctype:epub.workingpaperaccesscondition:openaccessSDNB:510institution:unirostock.mnfstate:published