{"id":"https://openalex.org/W2046567393","doi":"https://doi.org/10.1016/0097-8493(85)90054-8","title":"An analytical visibility method for displaying parametrically defined surfaces","display_name":"An analytical visibility method for displaying parametrically defined surfaces","publication_year":1985,"publication_date":"1985-01-01","ids":{"openalex":"https://openalex.org/W2046567393","doi":"https://doi.org/10.1016/0097-8493(85)90054-8","mag":"2046567393"},"language":"en","primary_location":{"id":"doi:10.1016/0097-8493(85)90054-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-8493(85)90054-8","pdf_url":null,"source":{"id":"https://openalex.org/S94821547","display_name":"Computers & Graphics","issn_l":"0097-8493","issn":["0097-8493","1873-7684"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Graphics","raw_type":"journal-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/A5042183117","display_name":"Peter Rehwald","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Peter Rehwald","raw_affiliation_strings":["Fachgebiet Graphisch-Interaktive Systeme, Fachbereich Informatik TH Darmstadt, Alexanderstra\u00dfe 24, D-6100 Darmstadt, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fachgebiet Graphisch-Interaktive Systeme, Fachbereich Informatik TH Darmstadt, Alexanderstra\u00dfe 24, D-6100 Darmstadt, Germany","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032443178","display_name":"Christoph Hornung","orcid":"https://orcid.org/0000-0001-8120-7633"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Christoph Hornung","raw_affiliation_strings":["Fachgebiet Graphisch-Interaktive Systeme, Fachbereich Informatik TH Darmstadt, Alexanderstra\u00dfe 24, D-6100 Darmstadt, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fachgebiet Graphisch-Interaktive Systeme, Fachbereich Informatik TH Darmstadt, Alexanderstra\u00dfe 24, D-6100 Darmstadt, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":2.0993,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.87254606,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":"3","first_page":"275","last_page":"281"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10888","display_name":"Augmented Reality Applications","score":0.9955999851226807,"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"}},"topics":[{"id":"https://openalex.org/T10888","display_name":"Augmented Reality Applications","score":0.9955999851226807,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9954000115394592,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9889000058174133,"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/visibility","display_name":"Visibility","score":0.8008326292037964},{"id":"https://openalex.org/keywords/raster-graphics","display_name":"Raster graphics","score":0.7200294733047485},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.6629618406295776},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6591182947158813},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.5212196111679077},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5134931206703186},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.47984763979911804},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45369720458984375},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.43770474195480347},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4334874749183655},{"id":"https://openalex.org/keywords/normal","display_name":"Normal","score":0.4225958585739136},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4148405194282532},{"id":"https://openalex.org/keywords/cartesian-product","display_name":"Cartesian product","score":0.4141755700111389},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.3940547704696655},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.29370570182800293},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28427767753601074},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.2659270465373993},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09065595269203186}],"concepts":[{"id":"https://openalex.org/C123403432","wikidata":"https://www.wikidata.org/wiki/Q654068","display_name":"Visibility","level":2,"score":0.8008326292037964},{"id":"https://openalex.org/C181844469","wikidata":"https://www.wikidata.org/wiki/Q182270","display_name":"Raster graphics","level":2,"score":0.7200294733047485},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6629618406295776},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6591182947158813},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.5212196111679077},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5134931206703186},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.47984763979911804},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45369720458984375},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.43770474195480347},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4334874749183655},{"id":"https://openalex.org/C118732077","wikidata":"https://www.wikidata.org/wiki/Q273176","display_name":"Normal","level":3,"score":0.4225958585739136},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4148405194282532},{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.4141755700111389},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.3940547704696655},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.29370570182800293},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28427767753601074},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.2659270465373993},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09065595269203186},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0097-8493(85)90054-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-8493(85)90054-8","pdf_url":null,"source":{"id":"https://openalex.org/S94821547","display_name":"Computers & Graphics","issn_l":"0097-8493","issn":["0097-8493","1873-7684"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Graphics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1587467920","https://openalex.org/W2019266529","https://openalex.org/W2032466031","https://openalex.org/W2064007920","https://openalex.org/W2090394377","https://openalex.org/W2137293535","https://openalex.org/W2159560539","https://openalex.org/W2949146770","https://openalex.org/W3005889634","https://openalex.org/W4254718480","https://openalex.org/W6673024306"],"related_works":["https://openalex.org/W2392812199","https://openalex.org/W4200176076","https://openalex.org/W598185802","https://openalex.org/W2355516524","https://openalex.org/W2361471170","https://openalex.org/W2025616642","https://openalex.org/W1954972543","https://openalex.org/W3030274415","https://openalex.org/W68628300","https://openalex.org/W4221156344"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-22T06:23:43.705686","created_date":"2025-10-10T00:00:00"}