{"id":"https://openalex.org/W4254721549","doi":"https://doi.org/10.1145/2159616.2159622","title":"Constant-time all-pairs geodesic distance query on triangle meshes","display_name":"Constant-time all-pairs geodesic distance query on triangle meshes","publication_year":2012,"publication_date":"2012-03-09","ids":{"openalex":"https://openalex.org/W4254721549","doi":"https://doi.org/10.1145/2159616.2159622"},"language":"en","primary_location":{"id":"doi:10.1145/2159616.2159622","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2159616.2159622","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games","raw_type":"proceedings-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/A5062030077","display_name":"Shiqing Xin","orcid":"https://orcid.org/0000-0001-8452-8723"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Shi-Qing Xin","raw_affiliation_strings":["Nanyang Technological University, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114017723","display_name":"Xiang Ying","orcid":"https://orcid.org/0009-0004-7146-4109"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Xiang Ying","raw_affiliation_strings":["Nanyang Technological University, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100389169","display_name":"Ying He","orcid":"https://orcid.org/0000-0002-6749-4485"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Ying He","raw_affiliation_strings":["Nanyang Technological University, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":null,"apc_paid":null,"fwci":5.1059,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.95863622,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"31","last_page":"38"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9998999834060669,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9998999834060669,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9991000294685364,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.941162645816803},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.6772927045822144},{"id":"https://openalex.org/keywords/geodesic-map","display_name":"Geodesic map","score":0.5286417603492737},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4737958312034607},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4666227102279663},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4621582329273224},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44794324040412903},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4443584978580475},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.42019200325012207},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3116704821586609},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.2596072554588318},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1995050311088562},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11572381854057312}],"concepts":[{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.941162645816803},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.6772927045822144},{"id":"https://openalex.org/C162269530","wikidata":"https://www.wikidata.org/wiki/Q17100560","display_name":"Geodesic map","level":3,"score":0.5286417603492737},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4737958312034607},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4666227102279663},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4621582329273224},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44794324040412903},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4443584978580475},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.42019200325012207},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3116704821586609},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.2596072554588318},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1995050311088562},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11572381854057312},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2159616.2159622","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2159616.2159622","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games","raw_type":"proceedings-article"},{"id":"pmh:oai:dr.ntu.edu.sg:10356/96690","is_oa":false,"landing_page_url":"http://hdl.handle.net/10220/12996","pdf_url":null,"source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3856948019","display_name":null,"funder_award_id":"NRF2008IDM-IDM004-006","funder_id":"https://openalex.org/F4320320709","funder_display_name":"National Research Foundation Singapore"}],"funders":[{"id":"https://openalex.org/F4320320709","display_name":"National Research Foundation Singapore","ror":"https://ror.org/03cpyc314"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1987521935","https://openalex.org/W1993775814","https://openalex.org/W1998664500","https://openalex.org/W1999690352","https://openalex.org/W2004815041","https://openalex.org/W2018164813","https://openalex.org/W2018347014","https://openalex.org/W2021587133","https://openalex.org/W2024693023","https://openalex.org/W2036114412","https://openalex.org/W2049500052","https://openalex.org/W2053126129","https://openalex.org/W2074537686","https://openalex.org/W2081132240","https://openalex.org/W2081777693","https://openalex.org/W2095982525","https://openalex.org/W2108567935","https://openalex.org/W2131911297","https://openalex.org/W2132457975","https://openalex.org/W2141409037","https://openalex.org/W2144592833","https://openalex.org/W2145413351","https://openalex.org/W2151530724","https://openalex.org/W2156047991","https://openalex.org/W2158474430","https://openalex.org/W2161253909","https://openalex.org/W2169528473","https://openalex.org/W2295332248"],"related_works":["https://openalex.org/W4281256013","https://openalex.org/W4377245811","https://openalex.org/W2941285539","https://openalex.org/W286947431","https://openalex.org/W2130044423","https://openalex.org/W4242902073","https://openalex.org/W4206698794","https://openalex.org/W2154521153","https://openalex.org/W2075574617","https://openalex.org/W3089249579"],"abstract_inverted_index":{"Computing":[0],"discrete":[1,20,192],"geodesics":[2],"on":[3,41,84,167,185],"polyhedral":[4],"surfaces":[5],"plays":[6],"an":[7,76],"important":[8],"role":[9],"in":[10,143,158],"computer":[11],"graphics.":[12],"In":[13,71,122],"contrast":[14],"to":[15,28,62,79],"the":[16,29,34,42,47,81,96,112,123,130,147,151,180,186],"well-studied":[17],"\"single-source,":[18],"all-destination\"":[19],"geodesic":[21,35,50,83,132,148,152],"problem,":[22],"little":[23],"progress":[24],"has":[25],"been":[26],"reported":[27],"all-pairs":[30,49,82],"geodesic,":[31],"i.e.,":[32],"computing":[33],"distance":[36,133,153],"between":[37,115,134],"arbitrary":[38,135],"two":[39],"points":[40,138],"surface.":[43],"To":[44],"our":[45,126,172,183],"knowledge,":[46],"existing":[48],"algorithms":[51],"have":[52],"very":[53],"high":[54],"computational":[55],"cost,":[56],"thus,":[57],"can":[58,128,155],"not":[59],"be":[60,156],"applied":[61],"real-world":[63,168],"models,":[64],"which":[65],"usually":[66,114],"contain":[67],"thousands":[68],"of":[69,137,182],"vertices.":[70],"this":[72],"paper,":[73],"we":[74],"propose":[75],"efficient":[77,175],"algorithm":[78,127,173,184],"approximate":[80,131],"triangular":[85],"meshes.":[86],"The":[87],"pre-processing":[88],"step":[89],"takes":[90],"O(mn2":[91],"log":[92],"n)":[93,108],"time":[94],"for":[95],"input":[97],"mesh":[98,141],"with":[99],"n":[100],"vertices":[101],"and":[102,119,150,164,176],"m":[103,106],"samples,":[104],"where":[105],"(\u226a":[107],"is":[109,174],"specified":[110],"by":[111,190],"user,":[113],"a":[116],"few":[117],"hundred":[118],"several":[120],"thousand.":[121],"query":[124],"step,":[125],"compute":[129],"pair":[136],"(not":[139],"necessarily":[140],"vertices)":[142],"O(1)":[144],"time.":[145,160],"Furthermore,":[146],"path":[149],"field":[154],"approximated":[157],"linear":[159],"Both":[161],"theoretical":[162],"analysis":[163],"experimental":[165],"results":[166],"models":[169],"demonstrate":[170,179],"that":[171],"accurate.":[177],"We":[178],"efficacy":[181],"interactive":[187],"texture":[188],"mapping":[189],"using":[191],"exponential":[193],"map.":[194]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}