mycoreobjectrosdok_document_0000028044rosdok_document_0000028044rosdokdocumentrosdok_derivate_00002299452026-10-23T08:51:59.021Z2026-10-22T16:02:30.821ZeditorKEeditorKEpublished1rosdok_derivate_0000229945truetruederivate_types:fulltextVolltextfulltextwf_edit_epub wf_register_epubstate:publishedstate:publishedveröffentlichtpublishedrosdok_id00005908198739237XOau2026-10-222026-10-23T08:51:57ZrdaConverted from PICA to MODS using Pica2MODS XSLT Transformer 2.14-SNAPSHOT [SCM: "" "" ""] with mode 'DEFAULT'.WorkingpaperFast simultaneous angle, wedge, and beam intensity optimization in inverse radiotherapy planningWe present a new fast radiotherapy planning algorithm which determines approximatively optimal gantry and table angles, kinds of wedges, leaf positions and intensities simultaneously in a global way. Other parameters are optimized only independently of each other. The algorithm uses an elaborate field management and field reduction. Beam intensities are determined via a variant of a projected Newton method of Bertsekas. The objective function is a standard piecewise quadratic penalty function, but it is built with efficient upper bounds which are calculated during the optimization process. Instead of pencil beams, basic leaf positions are included. The algorithm is implemented in the new beam modelling and dose optimization module Homo OptiS.KonradEngel1956 -VerfasserInaut138612366EckhardTabbertVerfasserInauthttps://purl.uni-rostock.de/rosdok/id00005908urn:nbn:de:gbv:28-rosdok_id00005908-210.18453/rosdok_id00005908510 MathematikMathematisch-Naturwissenschaftliche Fakultätalle Rechte vorbehaltenRechteinhaber Universität Rostockfrei zugänglich (Open Access)Lizenz Metadaten: CC0en1 Online-Ressource (35 Seiten)2003University of Rostock, Institute of MathematicsRostockmonographic20032026Universitätsbibliothek RostockRostock2026Universitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005908Konrad Engel, Eckhard Tabbertrosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-803/60003-0006doctype: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:enEnglischEnglishengengFast simultaneous angle, wedge, and beam intensity optimization in inverse radiotherapy planningFast simultaneous angle, wedge, and beam intensity optimization in inverse radiotherapy planninggnd:138612366gnd:138612366rosdok_document_0000028044-d3975819e49gnd:138612366Konrad EngelKonrad Engelrosdok_document_0000028044-d3975819e63Eckhard TabbertEckhard TabbertKonrad EngelEckhard TabbertKonrad EngelEckhard TabbertKonrad EngelEckhard TabbertRostockUniversity of Rostock, Institute of Mathematicsepub.workingpaperhttps://purl.uni-rostock.de/rosdok/id00005908urn:nbn:de:gbv:28-rosdok_id00005908-210.18453/rosdok_id00005908We present a new fast radiotherapy planning algorithm which determines approximatively optimal gantry and table angles, kinds of wedges, leaf positions and intensities simultaneously in a global way. Other parameters are optimized only independently of each other. The algorithm uses an elaborate field management and field reduction. Beam intensities are determined via a variant of a projected Newton method of Bertsekas. The objective function is a standard piecewise quadratic penalty function, but it is built with efficient upper bounds which are calculated during the optimization process. Instead of pencil beams, basic leaf positions are included. The algorithm is implemented in the new beam modelling and dose optimization module Homo OptiS.20032003Preprints aus dem Institut für Mathematikrosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-803/60003-0006https://purl.uni-rostock.de/rosdok/id000058163255797-8Konrad Engel, Eckhard Tabbertepub.workingpaper1 Engel_angle_2003.pdf 308303 1a51ccc1e7f04b482627b4aa4a980d8c rosdok_id00005908198739237XOau2026-10-222026-10-23T08:51:57ZrdaConverted from PICA to MODS using Pica2MODS XSLT Transformer 2.14-SNAPSHOT [SCM: "" "" ""] with mode 'DEFAULT'.WorkingpaperFast simultaneous angle, wedge, and beam intensity optimization in inverse radiotherapy planningWe present a new fast radiotherapy planning algorithm which determines approximatively optimal gantry and table angles, kinds of wedges, leaf positions and intensities simultaneously in a global way. Other parameters are optimized only independently of each other. The algorithm uses an elaborate field management and field reduction. Beam intensities are determined via a variant of a projected Newton method of Bertsekas. The objective function is a standard piecewise quadratic penalty function, but it is built with efficient upper bounds which are calculated during the optimization process. Instead of pencil beams, basic leaf positions are included. The algorithm is implemented in the new beam modelling and dose optimization module Homo OptiS.KonradEngel1956 -VerfasserInaut138612366EckhardTabbertVerfasserInauthttps://purl.uni-rostock.de/rosdok/id00005908urn:nbn:de:gbv:28-rosdok_id00005908-210.18453/rosdok_id00005908510 MathematikMathematisch-Naturwissenschaftliche Fakultätalle Rechte vorbehaltenRechteinhaber Universität Rostockfrei zugänglich (Open Access)Lizenz Metadaten: CC0en1 Online-Ressource (35 Seiten)2003University of Rostock, Institute of MathematicsRostockmonographic20032026Universitätsbibliothek RostockRostock2026Universitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005908Konrad Engel, Eckhard Tabbertrosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-803/60003-0006 2026-10-22T16:02:30.821Z 2026-10-23T08:51:59.021Z 2026-11-02T08:51:59.051Z editorKE {"identifier":"rosdok/id00005908","type":"local_id","additional":"","service":"MCRLocalID","created":"2026-10-22T16:02:30.837Z"} {"identifier":"urn:nbn:de:gbv:28-rosdok_id00005908-2","type":"dnbUrn","additional":"","service":"RosDokURN","created":"2026-10-22T16:02:30.853Z"} {"identifier":"https://purl.uni-rostock.de/rosdok/id00005908","type":"purl","additional":"","service":"RosDokPURL","created":"2026-10-22T16:02:30.858Z","registrationStarted":"2026-10-22T16:06:09.990Z"} {"identifier":"10.18453/rosdok_id00005908","type":"doi","additional":"","service":"RosDokDOI","created":"2026-10-22T16:02:30.862Z","registrationStarted":"2026-10-22T16:06:09.704Z","registered":"2026-10-22T16:06:11.173Z"} editorKEfulltextfile/rosdok_document_0000028044/rosdok_derivate_0000229945/Engel_angle_2003.pdfFast simultaneous angle, wedge, and beam intensity optimization in inverse radiotherapy planningFast simultaneous angle, wedge, and beam intensity optimization in inverse radiotherapy planninggnd:138612366gnd:138612366rosdok_document_0000028044-d3975819e49gnd:138612366Konrad EngelKonrad Engelrosdok_document_0000028044-d3975819e63Eckhard TabbertEckhard TabbertKonrad EngelEckhard TabbertKonrad EngelEckhard TabbertKonrad EngelEckhard TabbertRostockUniversity of Rostock, Institute of Mathematicsepub.workingpaperhttps://purl.uni-rostock.de/rosdok/id00005908urn:nbn:de:gbv:28-rosdok_id00005908-210.18453/rosdok_id00005908We present a new fast radiotherapy planning algorithm which determines approximatively optimal gantry and table angles, kinds of wedges, leaf positions and intensities simultaneously in a global way. Other parameters are optimized only independently of each other. The algorithm uses an elaborate field management and field reduction. Beam intensities are determined via a variant of a projected Newton method of Bertsekas. The objective function is a standard piecewise quadratic penalty function, but it is built with efficient upper bounds which are calculated during the optimization process. Instead of pencil beams, basic leaf positions are included. The algorithm is implemented in the new beam modelling and dose optimization module Homo OptiS.20032003Preprints aus dem Institut für Mathematikrosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-803/60003-0006https://purl.uni-rostock.de/rosdok/id000058163255797-8Konrad Engel, Eckhard Tabbert[xslt]Saxonrosdok_id00005908https://purl.uni-rostock.de/rosdok/id00005908198739237X10.18453/rosdok_id00005908urn:nbn:de:gbv:28-rosdok_id00005908-2Konrad Engel, Eckhard TabbertEngel Konrad, Tabbert EckhardFast simultaneous angle, wedge, and beam intensity optimization in inverse radiotherapy planningWorkingpaperworking paperUniversity of Rostock, Institute of Mathematics, 2003We present a new fast radiotherapy planning algorithm which determines approximatively optimal gantry and table angles, kinds of wedges, leaf positions and intensities simultaneously in a global way. Other parameters are optimized only independently of each other. The algorithm uses an elaborate…rosdok_id000058160003-000603/6Konrad EngelEckhard TabbertFast simultaneous angle, wedge, and beam intensity optimization in inverse radiotherapy planningPreprints aus dem Institut für MathematikUniversitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005908KonradEngel1956 -VerfasserInaut138612366EckhardTabbertVerfasserInaut[purl]https://purl.uni-rostock.de/rosdok/id00005908[urn]urn:nbn:de:gbv:28-rosdok_id00005908-2[doi]10.18453/rosdok_id00005908open_access20032003epoch:21th_centuryrfc5646:endoctype:epub.workingpaperaccesscondition:openaccessSDNB:510institution:unirostock.mnfstate:published