{"id":"https://openalex.org/W2301150476","doi":"https://doi.org/10.2312/eg.19861010","title":"Geometric Boundary Modelling without Topological Data Structures","display_name":"Geometric Boundary Modelling without Topological Data Structures","publication_year":1986,"publication_date":"1986-01-01","ids":{"openalex":"https://openalex.org/W2301150476","doi":"https://doi.org/10.2312/eg.19861010","mag":"2301150476"},"language":"en","primary_location":{"id":"doi:10.2312/eg.19861010","is_oa":true,"landing_page_url":"https://doi.org/10.2312/eg.19861010","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","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":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2312/eg.19861010","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072586238","display_name":"Tapio Takala","orcid":"https://orcid.org/0000-0002-7704-5800"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Takala, Tapio","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5072586238"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4555,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.8410943,"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/T13067","display_name":"Geological Modeling and Analysis","score":0.9718000292778015,"subfield":{"id":"https://openalex.org/subfields/1906","display_name":"Geochemistry and Petrology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13067","display_name":"Geological Modeling and Analysis","score":0.9718000292778015,"subfield":{"id":"https://openalex.org/subfields/1906","display_name":"Geochemistry and Petrology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9028000235557556,"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/computer-science","display_name":"Computer science","score":0.5565191507339478},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5447699427604675},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4931885600090027},{"id":"https://openalex.org/keywords/topological-data-analysis","display_name":"Topological data analysis","score":0.42356163263320923},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22526028752326965},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1618613302707672},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0959017276763916},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08285188674926758}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5565191507339478},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5447699427604675},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4931885600090027},{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.42356163263320923},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22526028752326965},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1618613302707672},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0959017276763916},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08285188674926758}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2312/eg.19861010","is_oa":true,"landing_page_url":"https://doi.org/10.2312/eg.19861010","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","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":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null},{"id":"mag:2301150476","is_oa":false,"landing_page_url":"https://diglib.eg.org:443/handle/10.2312/eg19861010","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Eurographics","raw_type":null}],"best_oa_location":{"id":"doi:10.2312/eg.19861010","is_oa":true,"landing_page_url":"https://doi.org/10.2312/eg.19861010","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","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":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2609914104","https://openalex.org/W1530755233","https://openalex.org/W2000889040","https://openalex.org/W2114814783","https://openalex.org/W2270693972","https://openalex.org/W2076359273","https://openalex.org/W2118109163","https://openalex.org/W2030816145","https://openalex.org/W1991630197","https://openalex.org/W2568994802","https://openalex.org/W2133823109","https://openalex.org/W2481748506","https://openalex.org/W2027559835","https://openalex.org/W2080025882","https://openalex.org/W2048457417","https://openalex.org/W2068171535","https://openalex.org/W3172628332","https://openalex.org/W3153631690","https://openalex.org/W2440097954","https://openalex.org/W2139335104"],"abstract_inverted_index":{"The":[0,42],"Boundary":[1],"Representation":[2],"(BR)":[3],"scheme":[4],"for":[5],"solid":[6,78],"modelling":[7,57],"is":[8,16,27,65],"reconsidered":[9],"and":[10,33],"generalized":[11],"in":[12,51],"the":[13,20,30,56],"paper.":[14],"It":[15],"pointed":[17],"out":[18],"that":[19,34],"topological":[21,43],"data,":[22,32],"though":[23],"usually":[24],"represented":[25],"separately,":[26],"derivable":[28],"from":[29],"geometric":[31],"there":[35],"are":[36,46],"fundamental":[37],"inconsistencies":[38],"between":[39],"these":[40],"two.":[41],"data":[44],"structures":[45],"unnecessary":[47],"or":[48],"even":[49],"harmful":[50],"practice":[52],"as":[53,76],"they":[54],"restrict":[55],"domain.":[58],"New":[59],"BR":[60],"methodology":[61],"without":[62],"explicit":[63],"topology":[64],"demonstrated":[66],"by":[67],"algorithms,":[68],"which":[69],"manipulate":[70],"a":[71,77],"stream":[72],"of":[73],"separate":[74],"polygons":[75],"model.":[79]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}