{"id":"https://openalex.org/W7154728227","doi":"https://doi.org/10.1111/cgf.70518","title":"Progressive Convex Hull Simplification","display_name":"Progressive Convex Hull Simplification","publication_year":2026,"publication_date":"2026-08-13","ids":{"openalex":"https://openalex.org/W7154728227","doi":"https://doi.org/10.1111/cgf.70518"},"language":"en","primary_location":{"id":"doi:10.1111/cgf.70518","is_oa":true,"landing_page_url":"https://doi.org/10.1111/cgf.70518","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1111/cgf.70518","source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1111/cgf.70518","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060647975","display_name":"Alec Jacobson","orcid":"https://orcid.org/0000-0003-4603-7143"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Alec Jacobson","raw_affiliation_strings":["University of Toronto"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Toronto","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5060647975"],"corresponding_institution_ids":["https://openalex.org/I185261750"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":{"value":3710,"currency":"USD","value_usd":3710},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.37627907,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.5098999738693237,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.5098999738693237,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.3294000029563904,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.02019999921321869,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.792900025844574},{"id":"https://openalex.org/keywords/hull","display_name":"Hull","score":0.5620999932289124},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5541999936103821},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.5324000120162964},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.5022000074386597},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.48030000925064087},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.4415000081062317},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.4244999885559082}],"concepts":[{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.792900025844574},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6499000191688538},{"id":"https://openalex.org/C37423430","wikidata":"https://www.wikidata.org/wiki/Q6750281","display_name":"Hull","level":2,"score":0.5620999932289124},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5541999936103821},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.5324000120162964},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5022000074386597},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.48030000925064087},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.4415000081062317},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.4244999885559082},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.42320001125335693},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41819998621940613},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39980000257492065},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36320000886917114},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.3395000100135803},{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.33880001306533813},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.3163999915122986},{"id":"https://openalex.org/C64051489","wikidata":"https://www.wikidata.org/wiki/Q7104528","display_name":"Orthogonal convex hull","level":5,"score":0.30489999055862427},{"id":"https://openalex.org/C39132409","wikidata":"https://www.wikidata.org/wiki/Q7112860","display_name":"Output-sensitive algorithm","level":5,"score":0.28630000352859497},{"id":"https://openalex.org/C44550424","wikidata":"https://www.wikidata.org/wiki/Q4424496","display_name":"Mixed volume","level":5,"score":0.26809999346733093},{"id":"https://openalex.org/C121704057","wikidata":"https://www.wikidata.org/wiki/Q352070","display_name":"Collision","level":2,"score":0.2669999897480011},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26589998602867126},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.2651999890804291},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25459998846054077},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.25450000166893005}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1111/cgf.70518","is_oa":true,"landing_page_url":"https://doi.org/10.1111/cgf.70518","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1111/cgf.70518","source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-article"},{"id":"doi:10.48550/arxiv.2604.14468","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.14468","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1111/cgf.70518","is_oa":true,"landing_page_url":"https://doi.org/10.1111/cgf.70518","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1111/cgf.70518","source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2614460161","display_name":null,"funder_award_id":"-2022","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320307786","display_name":"Adobe Systems","ror":"https://ror.org/059tvcg64"},{"id":"https://openalex.org/F4320320994","display_name":"Canada Research Chairs","ror":"https://ror.org/0517h6h17"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7154728227.pdf","grobid_xml":"https://content.openalex.org/works/W7154728227.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1968027100","https://openalex.org/W1990970199","https://openalex.org/W1991777702","https://openalex.org/W2000697206","https://openalex.org/W2046741674","https://openalex.org/W2052165970","https://openalex.org/W2072503362","https://openalex.org/W2097282130","https://openalex.org/W2114490261","https://openalex.org/W2119352997","https://openalex.org/W2153504150","https://openalex.org/W2326041363","https://openalex.org/W2475322788","https://openalex.org/W2953276104","https://openalex.org/W2998649743","https://openalex.org/W3161991993","https://openalex.org/W4229456580","https://openalex.org/W4251617126","https://openalex.org/W4254977685","https://openalex.org/W4412673742","https://openalex.org/W4413789083"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"Convex":[1],"hulls":[2,28],"are":[3],"useful":[4],"as":[5],"tight":[6],"bounding":[7],"proxies":[8],"for":[9],"a":[10,41,45,94],"variety":[11,95],"of":[12,25,38,48,90,96],"tasks":[13],"including":[14],"collision":[15],"detection,":[16],"ray":[17],"intersection,":[18],"and":[19,99],"distance":[20],"computation.":[21],"Unfortunately,":[22],"the":[23,36,60,88],"complexity":[24],"polyhedral":[26],"convex":[27,42],"grows":[29],"linearly":[30],"with":[31],"their":[32],"input.":[33],"We":[34,86],"consider":[35],"problem":[37],"conservatively":[39],"simplifying":[40],"hull":[43],"to":[44],"specified":[46],"number":[47],"half\u2010spaces":[49],"while":[50],"minimizing":[51],"added":[52],"volume":[53],"or":[54,84],"surface":[55],"area.":[56],"By":[57],"working":[58],"in":[59],"dual":[61],"representation,":[62],"we":[63,74],"propose":[64],"an":[65],"efficient":[66],"O(n":[67],"log":[68],"n)":[69],"greedy":[70],"optimization.":[71],"In":[72],"comparisons,":[73],"show":[75],"that":[76],"existing":[77],"methods":[78],"either":[79],"exhibit":[80],"poor":[81],"efficiency,":[82],"tightness":[83],"safety.":[85],"demonstrate":[87],"success":[89],"our":[91],"method":[92],"on":[93],"input":[97],"shapes":[98],"downstream":[100],"application":[101],"domains.":[102]},"counts_by_year":[],"updated_date":"2026-08-16T07:02:28.622633","created_date":"2026-04-18T00:00:00"}
