{"id":"https://openalex.org/W24647538","doi":"https://doi.org/10.2312/eg.19811005","title":"TIME AND SPACE BOUNDS FOR HIDDEN LINE AND HIDDEN SURFACE ALGORITHMS","display_name":"TIME AND SPACE BOUNDS FOR HIDDEN LINE AND HIDDEN SURFACE ALGORITHMS","publication_year":1981,"publication_date":"1981-01-01","ids":{"openalex":"https://openalex.org/W24647538","doi":"https://doi.org/10.2312/eg.19811005","mag":"24647538"},"language":"en","primary_location":{"id":"doi:10.2312/eg.19811005","is_oa":true,"landing_page_url":"https://doi.org/10.2312/eg.19811005","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/eg.19811005","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111447388","display_name":"Alfred Schmitt","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Schmitt, Alfred","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111447388"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":41,"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/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.7498999834060669,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"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/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.7498999834060669,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T12784","display_name":"Modular Robots and Swarm Intelligence","score":0.7371000051498413,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T10904","display_name":"Embedded Systems Design Techniques","score":0.7113000154495239,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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":0.603734016418457},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5172215700149536},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4748304784297943},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.4484442174434662},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23607996106147766},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06930235028266907}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.603734016418457},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5172215700149536},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4748304784297943},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.4484442174434662},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23607996106147766},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06930235028266907},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2312/eg.19811005","is_oa":true,"landing_page_url":"https://doi.org/10.2312/eg.19811005","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:24647538","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/conf/eurographics/eg1981.html#Schmitt81","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.19811005","is_oa":true,"landing_page_url":"https://doi.org/10.2312/eg.19811005","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/10","score":0.4399999976158142,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2032596233","https://openalex.org/W2123335580","https://openalex.org/W2114968863","https://openalex.org/W1991651582","https://openalex.org/W1965787951","https://openalex.org/W2108517516","https://openalex.org/W2080587325","https://openalex.org/W2068720912","https://openalex.org/W2145494964","https://openalex.org/W2000248466","https://openalex.org/W2113270940","https://openalex.org/W2033642109","https://openalex.org/W1973472581","https://openalex.org/W2135123207","https://openalex.org/W2052165970","https://openalex.org/W2005314985","https://openalex.org/W1874694348","https://openalex.org/W1973073235","https://openalex.org/W1556128689","https://openalex.org/W1540081208"],"abstract_inverted_index":{"Asymptotic":[0],"worst":[1],"case":[2],"time":[3,64,107],"bounds":[4],"for":[5],"three":[6],"hidden":[7,31,111],"line":[8,32],"algorithms":[9,62],"are":[10],"derived":[11],"and":[12,40,47,54,69,87,121],"analysed.":[13],"The":[14,28,59],"first":[15],"algorithm":[16,33,46,89],"is":[17,34,51],"a":[18,37,56,91],"brute":[19],"force":[20],"solution":[21],"that":[22,104],"needs":[23],"at":[24],"least":[25],"quadratic":[26],"time.":[27,99],"second":[29],"exact":[30],"based":[35],"on":[36,73,116,125],"classical":[38],"divide":[39,86],"conquer":[41,88],"strategy":[42],"similar":[43],"to":[44,109],"Warnock's":[45],"the":[48,76,85,105,119,126,129],"third":[49],"one":[50],"completely":[52],"new":[53],"uses":[55],"plane":[57],"sweep.":[58],"last":[60],"two":[61],"need":[63],"between":[65],"O(n":[66],"log":[67],"n)":[68,71],"O(n\u00b2log":[70],"depending":[72],"properties":[74,117],"of":[75,78,84,94,118,128],"class":[77,93],"3D":[79,95],"scenes":[80,96],"used.":[81],"A":[82],"variant":[83],"processes":[90],"suitable":[92],"in":[97],"linear":[98],"These":[100],"results":[101],"clearly":[102],"demonstrate,":[103],"asymptotic":[106],"needed":[108],"eliminate":[110],"lines":[112],"depends":[113],"almost":[114],"exclusively":[115],"scene":[120],"not":[122],"so":[123],"much":[124],"cleverness":[127],"algorithm.":[130]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
