{"id":"https://openalex.org/W2013147574","doi":"https://doi.org/10.1145/1236246.1236299","title":"Computing an exact spherical visibility map for meshed polyhedra","display_name":"Computing an exact spherical visibility map for meshed polyhedra","publication_year":2007,"publication_date":"2007-06-04","ids":{"openalex":"https://openalex.org/W2013147574","doi":"https://doi.org/10.1145/1236246.1236299","mag":"2013147574"},"language":"en","primary_location":{"id":"doi:10.1145/1236246.1236299","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1236246.1236299","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2007 ACM symposium on Solid and physical modeling","raw_type":"proceedings-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/A5008097193","display_name":"Min Liu","orcid":"https://orcid.org/0000-0002-0663-793X"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Min Liu","raw_affiliation_strings":["Purdue University, West Lafayette, Indiana"],"affiliations":[{"raw_affiliation_string":"Purdue University, West Lafayette, Indiana","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004602626","display_name":"Karthik Ramani","orcid":"https://orcid.org/0000-0001-8639-5135"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Karthik Ramani","raw_affiliation_strings":["Purdue University, West Lafayette, Indiana"],"affiliations":[{"raw_affiliation_string":"Purdue University, West Lafayette, Indiana","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008097193"],"corresponding_institution_ids":["https://openalex.org/I219193219"],"apc_list":null,"apc_paid":null,"fwci":2.1478,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.89059931,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"367","last_page":"372"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9994999766349792,"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":0.9994999766349792,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9965999722480774,"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":0.991599977016449,"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":0.8914583325386047},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.8364975452423096},{"id":"https://openalex.org/keywords/facet","display_name":"Facet (psychology)","score":0.722294807434082},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6098389625549316},{"id":"https://openalex.org/keywords/visibility-graph","display_name":"Visibility graph","score":0.5622600317001343},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5298079252243042},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5172991752624512},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5027174949645996},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45277008414268494},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.36901217699050903},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34834352135658264},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2834988832473755},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18097946047782898},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18077203631401062},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.15873822569847107}],"concepts":[{"id":"https://openalex.org/C123403432","wikidata":"https://www.wikidata.org/wiki/Q654068","display_name":"Visibility","level":2,"score":0.8914583325386047},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.8364975452423096},{"id":"https://openalex.org/C43122875","wikidata":"https://www.wikidata.org/wiki/Q5428522","display_name":"Facet (psychology)","level":4,"score":0.722294807434082},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6098389625549316},{"id":"https://openalex.org/C173362246","wikidata":"https://www.wikidata.org/wiki/Q8216024","display_name":"Visibility graph","level":3,"score":0.5622600317001343},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5298079252243042},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5172991752624512},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5027174949645996},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45277008414268494},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.36901217699050903},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34834352135658264},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2834988832473755},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18097946047782898},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18077203631401062},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.15873822569847107},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C2865642","wikidata":"https://www.wikidata.org/wiki/Q378132","display_name":"Big Five personality traits","level":3,"score":0.0},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.0},{"id":"https://openalex.org/C187288502","wikidata":"https://www.wikidata.org/wiki/Q641118","display_name":"Personality","level":2,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/1236246.1236299","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1236246.1236299","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2007 ACM symposium on Solid and physical modeling","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.385.6286","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.385.6286","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://engineering.purdue.edu/PRECISE/Publications/computinganexactsphericalvisibilitymapformeshedpoly/p367-liu.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.84.9004","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.84.9004","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://meweb.ecn.purdue.edu/~liu66/CV/paper/219-short.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1556689381","https://openalex.org/W1968056357","https://openalex.org/W1987906717","https://openalex.org/W1994834969","https://openalex.org/W2027263242","https://openalex.org/W2030265360","https://openalex.org/W2035823949","https://openalex.org/W2045452264","https://openalex.org/W2048189659","https://openalex.org/W2060631768","https://openalex.org/W2080264627","https://openalex.org/W2088444809","https://openalex.org/W2091433210","https://openalex.org/W2092705708","https://openalex.org/W2101986527","https://openalex.org/W2108162101","https://openalex.org/W2124261569","https://openalex.org/W2149906774","https://openalex.org/W2152500732","https://openalex.org/W2152920882","https://openalex.org/W2167300003","https://openalex.org/W2560873364","https://openalex.org/W4247939603"],"related_works":["https://openalex.org/W280563082","https://openalex.org/W2743652671","https://openalex.org/W3188793535","https://openalex.org/W2032709970","https://openalex.org/W2066813664","https://openalex.org/W2094166299","https://openalex.org/W2519024191","https://openalex.org/W2963183586","https://openalex.org/W2159176266","https://openalex.org/W4388826510"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"computation":[3],"of":[4,36,55,81,91,106,120],"the":[5,10,30,34,42,45,51,60,64,68,73,89,92,102,117,121],"exact":[6,74,118],"visibility":[7,12,65,75,111,123],"range":[8],"(or":[9],"spherical":[11,79,122],"map)":[13],"for":[14,67,100,115,125],"a":[15,23,78,97,107,109,126],"closed":[16,82],"polyhedron":[17],"whose":[18],"boundary":[19],"is":[20,77,113],"represented":[21],"as":[22],"triangle":[24],"mesh.":[25],"For":[26],"each":[27],"facet":[28,46],"on":[29,44,88,96],"mesh,":[31],"we":[32],"calculate":[33],"set":[35],"view":[37],"directions":[38,58],"from":[39,50],"which":[40],"all":[41],"points":[43],"can":[47],"be":[48],"seen":[49],"exterior.":[52],"The":[53],"projection":[54],"those":[56],"visible":[57],"onto":[59],"unit":[61,93],"sphere":[62],"forms":[63],"map":[66,76,124],"facet.":[69,127],"We":[70],"show":[71],"that":[72],"arrangement":[80],"0-cells,":[83],"1-cells,":[84],"and":[85],"2-cells":[86],"embedded":[87],"surface":[90],"sphere.":[94],"Based":[95],"provable":[98],"method":[99],"calculating":[101],"potential":[103],"occlusion":[104],"regions":[105],"facet,":[108],"vector":[110],"algorithm":[112],"developed":[114],"computing":[116],"solution":[119],"Examples":[128],"are":[129],"given":[130],"to":[131],"illustrate":[132],"our":[133],"algorithm.":[134]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}