{"id":"https://openalex.org/W1998688479","doi":"https://doi.org/10.1137/120890430","title":"Binary Level-Set Shape Optimization Model and Algorithm for Volumetric Modulated Arc Therapy in Radiotherapy Treatment","display_name":"Binary Level-Set Shape Optimization Model and Algorithm for Volumetric Modulated Arc Therapy in Radiotherapy Treatment","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1998688479","doi":"https://doi.org/10.1137/120890430","mag":"1998688479"},"language":"en","primary_location":{"id":"doi:10.1137/120890430","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120890430","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102153858","display_name":"Li\u2010Tien Cheng","orcid":null},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Li-Tien Cheng","raw_affiliation_strings":["University of California at San Diego"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California at San Diego","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035683291","display_name":"Bin Dong","orcid":"https://orcid.org/0000-0003-1295-3362"},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bin Dong","raw_affiliation_strings":["University of Arizona"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Arizona","institution_ids":["https://openalex.org/I138006243"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110147435","display_name":"Chunhua Men","orcid":null},"institutions":[{"id":"https://openalex.org/I28174512","display_name":"Elekta (Switzerland)","ror":"https://ror.org/00212dq27","country_code":"CH","type":"company","lineage":["https://openalex.org/I28174512","https://openalex.org/I4210123750"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Chunhua Men","raw_affiliation_strings":["Elekta, Inc"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Elekta, Inc","institution_ids":["https://openalex.org/I28174512"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066232843","display_name":"Xun Jia","orcid":"https://orcid.org/0000-0001-6159-2909"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xun Jia","raw_affiliation_strings":["University of California at San Diego"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California at San Diego","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018120191","display_name":"Steve Jiang","orcid":"https://orcid.org/0000-0002-3083-6752"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steve Jiang","raw_affiliation_strings":["University of California at San Diego"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California at San Diego","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.686,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.69800051,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"35","issue":"6","first_page":"B1321","last_page":"B1340"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10358","display_name":"Advanced Radiotherapy Techniques","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/3108","display_name":"Radiation"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6312815546989441},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5946057438850403},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5766786336898804},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4980506896972656},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.4581410586833954},{"id":"https://openalex.org/keywords/arc","display_name":"Arc (geometry)","score":0.4494270980358124},{"id":"https://openalex.org/keywords/level-set-method","display_name":"Level set method","score":0.4471368193626404},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4458089768886566},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.42941349744796753},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.4185783267021179},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2575855851173401},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17802956700325012},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14575299620628357},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.09496957063674927},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.08438146114349365},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.07860422134399414}],"concepts":[{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6312815546989441},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5946057438850403},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5766786336898804},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4980506896972656},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.4581410586833954},{"id":"https://openalex.org/C83415579","wikidata":"https://www.wikidata.org/wiki/Q161973","display_name":"Arc (geometry)","level":2,"score":0.4494270980358124},{"id":"https://openalex.org/C125269122","wikidata":"https://www.wikidata.org/wiki/Q1751397","display_name":"Level set method","level":4,"score":0.4471368193626404},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4458089768886566},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.42941349744796753},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.4185783267021179},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2575855851173401},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17802956700325012},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14575299620628357},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.09496957063674927},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.08438146114349365},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.07860422134399414},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/120890430","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120890430","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being","score":0.5699999928474426}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W1968368370","https://openalex.org/W1968555238","https://openalex.org/W1977946246","https://openalex.org/W1980631702","https://openalex.org/W1983053523","https://openalex.org/W1983648407","https://openalex.org/W1987544780","https://openalex.org/W1991113069","https://openalex.org/W1994875376","https://openalex.org/W1997675090","https://openalex.org/W1997756026","https://openalex.org/W1999244633","https://openalex.org/W2003009438","https://openalex.org/W2003507836","https://openalex.org/W2003740190","https://openalex.org/W2014911369","https://openalex.org/W2016413885","https://openalex.org/W2024575214","https://openalex.org/W2026500470","https://openalex.org/W2035804495","https://openalex.org/W2039617073","https://openalex.org/W2039900425","https://openalex.org/W2045545335","https://openalex.org/W2048611568","https://openalex.org/W2048634512","https://openalex.org/W2049391017","https://openalex.org/W2049492563","https://openalex.org/W2052149272","https://openalex.org/W2055341194","https://openalex.org/W2056115554","https://openalex.org/W2061891579","https://openalex.org/W2066038003","https://openalex.org/W2068668671","https://openalex.org/W2074343813","https://openalex.org/W2078290517","https://openalex.org/W2084851290","https://openalex.org/W2085115947","https://openalex.org/W2085834482","https://openalex.org/W2086341939","https://openalex.org/W2094367852","https://openalex.org/W2103559027","https://openalex.org/W2104958086","https://openalex.org/W2124967860","https://openalex.org/W2126038762","https://openalex.org/W2132034927","https://openalex.org/W2138571234","https://openalex.org/W2140044955","https://openalex.org/W2142641029","https://openalex.org/W2144751639","https://openalex.org/W2158390491","https://openalex.org/W2159281523","https://openalex.org/W2159709440","https://openalex.org/W2181453853","https://openalex.org/W2561843528","https://openalex.org/W3010292040","https://openalex.org/W3100888572","https://openalex.org/W4211035194"],"related_works":["https://openalex.org/W2544839741","https://openalex.org/W2357256365","https://openalex.org/W2348502264","https://openalex.org/W2365486383","https://openalex.org/W2810064750","https://openalex.org/W2362059367","https://openalex.org/W2901443725","https://openalex.org/W2350084742","https://openalex.org/W2357988862","https://openalex.org/W2352624503"],"abstract_inverted_index":{"We":[0,52,88],"introduce,":[1],"in":[2,15,80],"this":[3],"paper,":[4],"a":[5,27,76,81],"variational":[6],"framework":[7,24],"for":[8,20],"the":[9,32,43,54,64,97,100],"construction":[10],"of":[11,26,34,92,99],"improved":[12],"treatment":[13],"plans":[14],"volumetric":[16],"modulated":[17],"arc":[18],"therapy":[19],"cancer":[21],"treatment.":[22],"This":[23],"consists":[25],"shape":[28,61],"optimization":[29],"component,":[30],"from":[31,42],"molding":[33],"beam":[35,48,70],"shapes,":[36],"as":[37,39],"well":[38],"strong":[40],"constraints,":[41],"equipment":[44],"involved,":[45],"on":[46],"both":[47],"shapes":[49],"and":[50,63],"intensities.":[51],"apply":[53],"binary":[55],"level-set":[56],"method,":[57,67],"to":[58,68,95],"handle":[59,69],"complex":[60],"topologies,":[62],"fast":[65],"sweeping":[66],"intensity":[71],"constraints.":[72],"The":[73],"result":[74],"is":[75],"fast,":[77],"flow-based":[78],"algorithm,":[79],"simplified":[82],"setting,":[83],"that":[84],"guarantees":[85],"energy":[86],"decrease.":[87],"include":[89],"numerical":[90],"simulations":[91],"clinical":[93],"cases":[94],"demonstrate":[96],"efficacy":[98],"approach.":[101]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
