{"id":"https://openalex.org/W115218103","doi":"https://doi.org/10.2312/egtp.19901010","title":"ADAPTIVE POLYGONIZATION OF IMPLICIT SURFACES USING SIMPLICIAL DECOMPOSITION AND BOUNDARY CONSTRAINTS","display_name":"ADAPTIVE POLYGONIZATION OF IMPLICIT SURFACES USING SIMPLICIAL DECOMPOSITION AND BOUNDARY CONSTRAINTS","publication_year":1990,"publication_date":"1990-01-01","ids":{"openalex":"https://openalex.org/W115218103","doi":"https://doi.org/10.2312/egtp.19901010","mag":"115218103"},"language":"en","primary_location":{"id":"doi:10.2312/egtp.19901010","is_oa":true,"landing_page_url":"https://doi.org/10.2312/egtp.19901010","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/egtp.19901010","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015241528","display_name":"Luiz Velho","orcid":"https://orcid.org/0000-0001-5489-4909"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Velho, Luiz","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5015241528"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":null,"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/T13518","display_name":"Architecture and Computational Design","score":0.6502000093460083,"subfield":{"id":"https://openalex.org/subfields/2216","display_name":"Architecture"},"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/T13518","display_name":"Architecture and Computational Design","score":0.6502000093460083,"subfield":{"id":"https://openalex.org/subfields/2216","display_name":"Architecture"},"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/decomposition","display_name":"Decomposition","score":0.6065467000007629},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5482271313667297},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4639572501182556},{"id":"https://openalex.org/keywords/abstract-simplicial-complex","display_name":"Abstract simplicial complex","score":0.42328715324401855},{"id":"https://openalex.org/keywords/simplicial-approximation-theorem","display_name":"Simplicial approximation theorem","score":0.41270673274993896},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40326550602912903},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.37107476592063904},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19851264357566833},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16742673516273499},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.08918431401252747},{"id":"https://openalex.org/keywords/simplicial-set","display_name":"Simplicial set","score":0.0826297402381897}],"concepts":[{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.6065467000007629},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5482271313667297},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4639572501182556},{"id":"https://openalex.org/C146867743","wikidata":"https://www.wikidata.org/wiki/Q4669959","display_name":"Abstract simplicial complex","level":3,"score":0.42328715324401855},{"id":"https://openalex.org/C64245159","wikidata":"https://www.wikidata.org/wiki/Q3983972","display_name":"Simplicial approximation theorem","level":5,"score":0.41270673274993896},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40326550602912903},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.37107476592063904},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19851264357566833},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16742673516273499},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.08918431401252747},{"id":"https://openalex.org/C155366967","wikidata":"https://www.wikidata.org/wiki/Q1467124","display_name":"Simplicial set","level":4,"score":0.0826297402381897},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.0},{"id":"https://openalex.org/C79236096","wikidata":"https://www.wikidata.org/wiki/Q14775269","display_name":"Homotopy category","level":3,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2312/egtp.19901010","is_oa":true,"landing_page_url":"https://doi.org/10.2312/egtp.19901010","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"}],"best_oa_location":{"id":"doi:10.2312/egtp.19901010","is_oa":true,"landing_page_url":"https://doi.org/10.2312/egtp.19901010","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2127307450","https://openalex.org/W2229412420","https://openalex.org/W1990353576","https://openalex.org/W1753524162","https://openalex.org/W2244686166","https://openalex.org/W1994714199","https://openalex.org/W2391753208","https://openalex.org/W2079809600","https://openalex.org/W1966264339","https://openalex.org/W3069519","https://openalex.org/W2176487629","https://openalex.org/W1988794061","https://openalex.org/W2036160318","https://openalex.org/W2042746701","https://openalex.org/W2352201740","https://openalex.org/W2181676384","https://openalex.org/W1968788401","https://openalex.org/W1595951714","https://openalex.org/W2153831685","https://openalex.org/W2361453455"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,7,44],"method":[4],"to":[5,20,38,62,84],"generate":[6],"polygonal":[8],"approximation":[9],"of":[10,47,58,65,88],"implicit":[11],"surfaces.":[12],"Space":[13],"partitioning":[14],"by":[15],"simplicial":[16],"decomposition":[17],"is":[18,52],"used":[19],"sample":[21],"the":[22,41,56,66,81,86],"surface,":[23],"which":[24,68],"provides":[25],"an":[26],"unambiguous":[27],"framework":[28],"for":[29],"polygon":[30],"creation.":[31],"Simplices":[32],"are":[33,78],"adaptively":[34],"subdivided":[35],"in":[36,71],"order":[37],"faithfully":[39],"represent":[40],"surface":[42,82],"with":[43,92],"minimum":[45],"number":[46],"elements.":[48],"The":[49],"space":[50],"subdivision":[51],"done":[53],"recursively,":[54],"without":[55],"need":[57],"additional":[59],"data":[60],"structures":[61],"keep":[63],"track":[64],"process,":[67],"usually":[69,90],"results":[70],"large":[72],"memory":[73],"requirements.":[74],"Furthermore,":[75],"boundary":[76],"constraints":[77],"imposed":[79],"on":[80],"tesselation":[83],"overcome":[85],"problem":[87],"discontinuities":[89],"associated":[91],"adaptive":[93],"methods.":[94]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
