{"id":"https://openalex.org/W2004171193","doi":"https://doi.org/10.1145/160985.161167","title":"Decision trees for geometric models","display_name":"Decision trees for geometric models","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W2004171193","doi":"https://doi.org/10.1145/160985.161167","mag":"2004171193"},"language":"en","primary_location":{"id":"doi:10.1145/160985.161167","doi":"https://doi.org/10.1145/160985.161167","is_oa":true,"landing_page_url":"https://doi.org/10.1145/160985.161167","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/160985.161167","source":{"id":"https://openalex.org/S7407087995","display_name":"Annual Symposium on Computational Geometry (SoCG)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ninth annual symposium on Computational geometry - SCG '93","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/160985.161167","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037943415","display_name":"Esther M. Arkin","orcid":"https://orcid.org/0000-0002-4038-4913","observed_orcids":["https://orcid.org/0000-0002-4038-4913"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Esther M. Arkin","raw_affiliation_strings":[""],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045375742","display_name":"Henk Meijer","orcid":"https://orcid.org/0000-0003-0406-3327","observed_orcids":["https://orcid.org/0000-0003-0406-3327"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Henk Meijer","raw_affiliation_strings":[""],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015247956","display_name":"Joseph S. B. Mitchell","orcid":"https://orcid.org/0000-0002-0152-2279","observed_orcids":["https://orcid.org/0000-0002-0152-2279"]},"institutions":[{"id":"https://openalex.org/I204722609","display_name":"Queen's University","ror":"https://ror.org/02y72wh86","country_code":"CA","type":"education","lineage":["https://openalex.org/I204722609"]},{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["CA","US"],"is_corresponding":false,"raw_author_name":"Joseph S. B. Mitchell","raw_affiliation_strings":["","12JDepartment of Computer and Information Science Queen's University, Kingston, Ontario, Canada K7L 3N6","tlJDepartment of Applied Mathematics and Statistics State University of New York, Stony Brook, NY 11794-3600"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"","institution_ids":[]},{"raw_affiliation_string":"12JDepartment of Computer and Information Science Queen's University, Kingston, Ontario, Canada K7L 3N6","institution_ids":["https://openalex.org/I204722609"]},{"raw_affiliation_string":"tlJDepartment of Applied Mathematics and Statistics State University of New York, Stony Brook, NY 11794-3600","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112711900","display_name":"David D. Rappaport","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I204722609","display_name":"Queen's University","ror":"https://ror.org/02y72wh86","country_code":"CA","type":"education","lineage":["https://openalex.org/I204722609"]},{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["CA","US"],"is_corresponding":false,"raw_author_name":"David Rappaport","raw_affiliation_strings":["","12JDepartment of Computer and Information Science Queen's University, Kingston, Ontario, Canada K7L 3N6","tlJDepartment of Applied Mathematics and Statistics State University of New York, Stony Brook, NY 11794-3600"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"","institution_ids":[]},{"raw_affiliation_string":"12JDepartment of Computer and Information Science Queen's University, Kingston, Ontario, Canada K7L 3N6","institution_ids":["https://openalex.org/I204722609"]},{"raw_affiliation_string":"tlJDepartment of Applied Mathematics and Statistics State University of New York, Stony Brook, NY 11794-3600","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060741187","display_name":"Steven Skiena","orcid":"https://orcid.org/0000-0003-0397-7514","observed_orcids":["https://orcid.org/0000-0003-0397-7514"]},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steven S. Skiena","raw_affiliation_strings":["","JDepartment of Computer Science State University of New York, Stony Brook, NY 11794-4400"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"","institution_ids":[]},{"raw_affiliation_string":"JDepartment of Computer Science State University of New York, Stony Brook, NY 11794-4400","institution_ids":["https://openalex.org/I59553526"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.6524,"has_fulltext":true,"cited_by_count":36,"citation_normalized_percentile":{"value":0.92907801,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"369","last_page":"378"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.8687000274658203,"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":0.8687000274658203,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.050700001418590546,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10531","display_name":"Advanced Vision and Imaging","score":0.01979999989271164,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/decision-tree","display_name":"decision tree","score":0.9769999980926514},{"id":"https://openalex.org/keywords/np-completeness","display_name":"NP-completeness","score":0.8500000238418579},{"id":"https://openalex.org/keywords/greedy-algorithm","display_name":"greedy algorithm","score":0.9200000166893005},{"id":"https://openalex.org/keywords/polygonal-models","display_name":"polygonal models","score":0.7519999742507935},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"computational geometry","score":0.39100000262260437},{"id":"https://openalex.org/keywords/np-hardness","display_name":"NP-hardness","score":0.5680000185966492}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6197061538696289},{"id":"https://openalex.org/C84525736","wikidata":"https://www.wikidata.org/wiki/Q831366","display_name":"Decision tree","level":2,"score":0.5324315428733826},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.42142534255981445}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/160985.161167","doi":"https://doi.org/10.1145/160985.161167","is_oa":true,"landing_page_url":"https://doi.org/10.1145/160985.161167","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/160985.161167","source":{"id":"https://openalex.org/S7407087995","display_name":"Annual Symposium on Computational Geometry (SoCG)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ninth annual symposium on Computational geometry - SCG '93","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.31.1743","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.31.1743","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ams.sunysb.edu/pub/geometry/decision-trees.ps.gz","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1145/160985.161167","doi":"https://doi.org/10.1145/160985.161167","is_oa":true,"landing_page_url":"https://doi.org/10.1145/160985.161167","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/160985.161167","source":{"id":"https://openalex.org/S7407087995","display_name":"Annual Symposium on Computational Geometry (SoCG)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ninth annual symposium on Computational geometry - SCG '93","raw_type":"proceedings-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2004171193.pdf","grobid_xml":"https://content.openalex.org/works/W2004171193.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W140256473","https://openalex.org/W1970074386","https://openalex.org/W1985642978","https://openalex.org/W1995282992","https://openalex.org/W2003525146","https://openalex.org/W2010788277","https://openalex.org/W2013451793","https://openalex.org/W2015696135","https://openalex.org/W2018571947","https://openalex.org/W2022266599","https://openalex.org/W2026311529","https://openalex.org/W2040924621","https://openalex.org/W2061734820","https://openalex.org/W2066577300","https://openalex.org/W2068204893","https://openalex.org/W2076107933","https://openalex.org/W2078007422","https://openalex.org/W2085041675","https://openalex.org/W2088549534","https://openalex.org/W2091897099","https://openalex.org/W2133431834","https://openalex.org/W2143474538","https://openalex.org/W2147030301","https://openalex.org/W2153050879","https://openalex.org/W4233353086","https://openalex.org/W4299866835","https://openalex.org/W4300640952"],"related_works":["https://openalex.org/W1608814893","https://openalex.org/W1995282992","https://openalex.org/W1991584975","https://openalex.org/W1529758913","https://openalex.org/W2583513541","https://openalex.org/W2116695849","https://openalex.org/W2232624600","https://openalex.org/W2189399420","https://openalex.org/W2039997933","https://openalex.org/W2559097502"],"abstract_inverted_index":{"A":[0],"fundamental":[1],"problem":[2,48],"in":[3,21,139,170],"model-based":[4],"computer":[5],"vision":[6],"is":[7,19,39,78,150,158,181],"that":[8,31,82,144,188],"of":[9,12,16,49,66,116,137,154,189],"identifying":[10],"which":[11,75],"a":[13,25,37,42,83,113,135,146,176],"given":[14,43,133],"set":[15,136],"geometric":[17],"models":[18,96,131],"present":[20,40],"an":[22,29,57,121,162,190],"image.":[23],"Considering":[24],"\u201cprobe\u201d":[26],"to":[27,62,73],"be":[28],"oracle":[30],"tells":[32],"us":[33],"whether":[34],"or":[35],"not":[36,106],"model":[38,77],"at":[41,182],"point,":[44],"we":[45,119,194],"study":[46],"the":[47,60,64,70,130,140,155,171],"computing":[50],"efficient":[51,122,163],"strategies":[52],"(\u201cdecision":[53],"trees\u201d)":[54],"for":[55,93,124,203],"probing":[56],"image,":[58],"with":[59],"goal":[61],"minimize":[63],"number":[65],"probes":[67],"necessary":[68],"(in":[69,97],"worst":[71],"case)":[72],"determine":[74],"single":[76],"present.":[79],"We":[80,142,160],"show":[81,143,168],"\u2308lg":[84,184],"k":[85,94],"\u2309":[86,186],"height":[87,148,180],"binary":[88],"decision":[89,127,177],"tree":[90,149,178],"always":[91],"exists":[92],"polygonal":[95],"fixed":[98],"position),":[99],"provided":[100],"(1)":[101],"they":[102,111],"are":[103,132],"non-degenerate":[104],"(do":[105],"share":[107,112],"boundaries)":[108],"and":[109,167],"(2)":[110],"common":[114],"point":[115],"intersection.":[117],"Further,":[118],"give":[120],"algorithm":[123],"constructing":[125,145],"such":[126],"trees":[128],"when":[129],"as":[134],"polygons":[138],"plane.":[141],"minimum":[147],"NP-complete":[151],"if":[152],"either":[153],"two":[156],"assumptions":[157],"omitted.":[159],"provide":[161],"greedy":[164],"heuristic":[165],"strategy":[166],"that,":[169],"general":[172],"case,":[173],"it":[174],"yields":[175],"whose":[179,199],"most":[183],"n":[185],"times":[187],"optimal":[191],"tree.":[192],"Finally,":[193],"discuss":[195],"some":[196],"restricted":[197],"cases":[198],"special":[200],"structure":[201],"allows":[202],"improved":[204],"results.":[205]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2016-06-24T00:00:00"}