{"id":"https://openalex.org/W2286172859","doi":"https://doi.org/10.2312/vmv.20151253","title":"Simple, Robust, Constant-Time Bounds on Surface Geodesic Distances using Point Landmarks","display_name":"Simple, Robust, Constant-Time Bounds on Surface Geodesic Distances using Point Landmarks","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2286172859","doi":"https://doi.org/10.2312/vmv.20151253","mag":"2286172859"},"language":"en","primary_location":{"id":"doi:10.2312/vmv.20151253","is_oa":true,"landing_page_url":"https://doi.org/10.2312/vmv.20151253","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2312/vmv.20151253","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042998972","display_name":"Oliver Burghard","orcid":null},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Burghard, Oliver","raw_affiliation_strings":["University of Bonn, Bonn, Germany"],"affiliations":[{"raw_affiliation_string":"University of Bonn, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037976392","display_name":"Reinhard Klein","orcid":"https://orcid.org/0000-0002-5505-9347"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Klein, Reinhard","raw_affiliation_strings":["University of Bonn, Bonn, Germany"],"affiliations":[{"raw_affiliation_string":"University of Bonn, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5042998972"],"corresponding_institution_ids":["https://openalex.org/I135140700"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"17","last_page":"24"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9901000261306763,"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":0.9901000261306763,"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/T12158","display_name":"Guidance and Control Systems","score":0.9840999841690063,"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"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9799000024795532,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.8348491191864014},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.7284812927246094},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6287447214126587},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4927099049091339},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4778016209602356},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47203174233436584},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39511004090309143},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34674757719039917},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32235264778137207},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.291422575712204}],"concepts":[{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.8348491191864014},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7284812927246094},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6287447214126587},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4927099049091339},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4778016209602356},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47203174233436584},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39511004090309143},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34674757719039917},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32235264778137207},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.291422575712204},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2312/vmv.20151253","is_oa":true,"landing_page_url":"https://doi.org/10.2312/vmv.20151253","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"mag:2286172859","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/conf/vmv/vmv2015.html#BurghardK15","pdf_url":null,"source":{"id":"https://openalex.org/S4306421152","display_name":"Vision Modeling and Visualization","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Vision Modeling and Visualization","raw_type":null}],"best_oa_location":{"id":"doi:10.2312/vmv.20151253","is_oa":true,"landing_page_url":"https://doi.org/10.2312/vmv.20151253","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.6600000262260437}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1981784948","https://openalex.org/W1999690352","https://openalex.org/W2021587133","https://openalex.org/W2074537686","https://openalex.org/W2108567935","https://openalex.org/W2130470622","https://openalex.org/W2158474430","https://openalex.org/W2164260102","https://openalex.org/W2294879381"],"related_works":["https://openalex.org/W2034459898","https://openalex.org/W2154523969","https://openalex.org/W127202943","https://openalex.org/W2089894514","https://openalex.org/W1485408573","https://openalex.org/W2085073495","https://openalex.org/W2160401013","https://openalex.org/W3112881457","https://openalex.org/W3123196955","https://openalex.org/W2106115000","https://openalex.org/W1964779227","https://openalex.org/W2147281792","https://openalex.org/W2287491156","https://openalex.org/W2834255866","https://openalex.org/W3101139917","https://openalex.org/W2145921490","https://openalex.org/W2032468050","https://openalex.org/W1597245035","https://openalex.org/W2030514625","https://openalex.org/W2612932523"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,27],"exploit":[4],"redundant":[5],"information":[6],"in":[7],"geodesic":[8,20],"distance":[9,21,50,71],"fields":[10,22],"for":[11,117],"a":[12,57,70,114],"quick":[13],"approximation":[14],"of":[15,23,77],"all-pair":[16],"distances.":[17],"Starting":[18],"with":[19,113],"equally":[24],"distributed":[25],"landmarks":[26],"analyze":[28],"the":[29,36,48,62,74,83,87,96,100],"lower":[30,53,101],"and":[31,39,65,102,109],"upper":[32,88,103],"bound":[33,54,89,104],"resulting":[34],"from":[35],"triangle":[37,63],"inequality":[38],"show":[40],"that":[41],"both":[42,78],"bounds":[43,79],"converge":[44],"reasonably":[45],"fast":[46],"to":[47,95,107,111],"original":[49],"field.":[51],"The":[52],"has":[55],"itself":[56],"bounded":[58],"relative":[59],"error,":[60],"fulfills":[61],"equation":[64],"under":[66],"mild":[67],"conditions":[68],"is":[69,80],"metric.":[72],"While":[73],"absolute":[75],"error":[76,93],"smaller":[81,92],"than":[82],"maximal":[84],"landmark":[85],"distances,":[86,119],"often":[90,122],"exhibits":[91],"close":[94],"cut":[97],"locus.":[98],"Both":[99],"are":[105,121],"simple":[106],"implement":[108],"quickly":[110],"evaluate":[112],"constant-time":[115],"effort":[116],"point-to-point":[118],"which":[120],"required":[123],"by":[124],"various":[125],"algorithms.":[126]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}