{"id":"https://openalex.org/W2125078521","doi":"https://doi.org/10.1109/tc.1977.1674822","title":"A Triangulation Method for the Sequential Mapping of Points from N-Space to Two-Space","display_name":"A Triangulation Method for the Sequential Mapping of Points from N-Space to Two-Space","publication_year":1977,"publication_date":"1977-03-01","ids":{"openalex":"https://openalex.org/W2125078521","doi":"https://doi.org/10.1109/tc.1977.1674822","mag":"2125078521"},"language":"en","primary_location":{"id":"doi:10.1109/tc.1977.1674822","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1977.1674822","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computers","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/A5102122909","display_name":"Lee","orcid":null},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]},{"id":"https://openalex.org/I4210093841","display_name":"Institute of Applied Mathematics","ror":"https://ror.org/00h9jx107","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210093841","https://openalex.org/I4210124601","https://openalex.org/I4210148470"]}],"countries":["RU","TW"],"is_corresponding":true,"raw_author_name":"Lee","raw_affiliation_strings":["Institute of Applied Mathematics, National Tsing Hua University","Institute of Applied Mathematics National Tsing Hua University"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics, National Tsing Hua University","institution_ids":["https://openalex.org/I25846049"]},{"raw_affiliation_string":"Institute of Applied Mathematics National Tsing Hua University","institution_ids":["https://openalex.org/I25846049","https://openalex.org/I4210093841"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5097407254","display_name":"Slagle","orcid":null},"institutions":[{"id":"https://openalex.org/I1288214837","display_name":"United States Naval Research Laboratory","ror":"https://ror.org/04d23a975","country_code":"US","type":"facility","lineage":["https://openalex.org/I1288214837","https://openalex.org/I1330347796","https://openalex.org/I175003984","https://openalex.org/I3130687028"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Slagle","raw_affiliation_strings":["Computer Science Laboratory Communications Division, Naval Research Laboratory, Inc., Washington D.C., DC, USA","[Computer Science Laboratory Communications Division, Naval Research Laboratory, Inc., Washington D.C., DC, USA]"],"affiliations":[{"raw_affiliation_string":"Computer Science Laboratory Communications Division, Naval Research Laboratory, Inc., Washington D.C., DC, USA","institution_ids":["https://openalex.org/I1288214837"]},{"raw_affiliation_string":"[Computer Science Laboratory Communications Division, Naval Research Laboratory, Inc., Washington D.C., DC, USA]","institution_ids":["https://openalex.org/I1288214837"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103961068","display_name":"Blum","orcid":null},"institutions":[{"id":"https://openalex.org/I1299303238","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88","country_code":"US","type":"government","lineage":["https://openalex.org/I1299022934","https://openalex.org/I1299303238"]},{"id":"https://openalex.org/I1299022934","display_name":"United States Department of Health and Human Services","ror":"https://ror.org/033jnv181","country_code":"US","type":"government","lineage":["https://openalex.org/I1299022934"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Blum","raw_affiliation_strings":["Division of Computer Research and Technology, National Institutes of Health DHHS, Bethesda, MD, USA","[Division of Computer Research and Technology, National Institutes of Health DHHS, Bethesda, MD, USA]"],"affiliations":[{"raw_affiliation_string":"Division of Computer Research and Technology, National Institutes of Health DHHS, Bethesda, MD, USA","institution_ids":["https://openalex.org/I1299022934","https://openalex.org/I1299303238"]},{"raw_affiliation_string":"[Division of Computer Research and Technology, National Institutes of Health DHHS, Bethesda, MD, USA]","institution_ids":["https://openalex.org/I1299303238"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102122909"],"corresponding_institution_ids":["https://openalex.org/I25846049","https://openalex.org/I4210093841"],"apc_list":null,"apc_paid":null,"fwci":5.463,"has_fulltext":false,"cited_by_count":146,"citation_normalized_percentile":{"value":0.95092025,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"C-26","issue":"3","first_page":"288","last_page":"292"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9968000054359436,"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":0.9968000054359436,"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/T11106","display_name":"Data Management and Algorithms","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T12698","display_name":"3D Modeling in Geospatial Applications","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"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/triangulation","display_name":"Triangulation","score":0.691336989402771},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.6135323643684387},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5705528259277344},{"id":"https://openalex.org/keywords/spanning-tree","display_name":"Spanning tree","score":0.5385454893112183},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5257923603057861},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5220394134521484},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5129696726799011},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.4544142484664917},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36756932735443115},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35712623596191406},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3475777804851532}],"concepts":[{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.691336989402771},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.6135323643684387},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5705528259277344},{"id":"https://openalex.org/C64331007","wikidata":"https://www.wikidata.org/wiki/Q831672","display_name":"Spanning tree","level":2,"score":0.5385454893112183},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5257923603057861},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5220394134521484},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5129696726799011},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.4544142484664917},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36756932735443115},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35712623596191406},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3475777804851532},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tc.1977.1674822","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1977.1674822","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.550000011920929}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W108464071","https://openalex.org/W1579369911","https://openalex.org/W1972969203","https://openalex.org/W1991431300","https://openalex.org/W2001619934","https://openalex.org/W2010456906","https://openalex.org/W2017927472","https://openalex.org/W2022286645","https://openalex.org/W2036328877","https://openalex.org/W2064403537","https://openalex.org/W2069992928","https://openalex.org/W2130037055","https://openalex.org/W2134312057","https://openalex.org/W2160645305","https://openalex.org/W2326283690","https://openalex.org/W2536367064","https://openalex.org/W3142071826","https://openalex.org/W4242399520"],"related_works":["https://openalex.org/W768569191","https://openalex.org/W2374925474","https://openalex.org/W1535358919","https://openalex.org/W4241226487","https://openalex.org/W2370302780","https://openalex.org/W1998175889","https://openalex.org/W2039867343","https://openalex.org/W3174101689","https://openalex.org/W2168747096","https://openalex.org/W4241924370"],"abstract_inverted_index":{"A":[0],"method":[1],"for":[2],"the":[3,34,40,52,61,65,68],"sequential":[4],"mapping":[5,48],"of":[6,39,54,64],"points":[7,27],"in":[8],"a":[9,13,18,55],"high-dimensional":[10],"space":[11],"onto":[12],"plane":[14],"is":[15,21,49],"presented.":[16],"Whenever":[17],"new":[19],"point":[20],"mapped,":[22],"its":[23],"distgnces":[24],"to":[25],"two":[26],"previously":[28],"mapped":[29],"are":[30,72],"exactly":[31,45,73],"preserved.":[32,46,74],"On":[33],"resulting":[35],"map,":[36],"2M":[37],"-3":[38],"original":[41],"distances":[42,53,66],"can":[43],"be":[44],"The":[47],"based":[50],"on":[51,67],"minimal":[56,69],"spanning":[57,70],"tree":[58,71],"constructed":[59],"from":[60],"points.":[62],"All":[63]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
