{"id":"https://openalex.org/W2054644191","doi":"https://doi.org/10.1137/1024102","title":"Optimal Mapping from a Sphere onto a Plane","display_name":"Optimal Mapping from a Sphere onto a Plane","publication_year":1982,"publication_date":"1982-10-01","ids":{"openalex":"https://openalex.org/W2054644191","doi":"https://doi.org/10.1137/1024102","mag":"2054644191"},"language":"en","primary_location":{"id":"doi:10.1137/1024102","doi":"https://doi.org/10.1137/1024102","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1024102","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-a","jufo-3","ki-jl-2","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},"volume":null,"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/A5007248217","display_name":"Carl E. Pearson","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Carl E. Pearson","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5007248217"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.26649602,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"24","issue":"4","first_page":"469","last_page":"475"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13854","display_name":"Historical Geography and Cartography","score":0.9404000043869019,"subfield":{"id":"https://openalex.org/subfields/3305","display_name":"Geography, Planning and Development"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T13854","display_name":"Historical Geography and Cartography","score":0.9404000043869019,"subfield":{"id":"https://openalex.org/subfields/3305","display_name":"Geography, Planning and Development"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.012400000356137753,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.009100000374019146,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/spherical-mapping","display_name":"spherical mapping","score":0.4180000126361847},{"id":"https://openalex.org/keywords/map-projections","display_name":"map projections","score":0.527999997138977},{"id":"https://openalex.org/keywords/distance-distortion","display_name":"distance distortion","score":0.5960000157356262},{"id":"https://openalex.org/keywords/coupled-integral-equations","display_name":"coupled integral equations","score":0.9100000262260437},{"id":"https://openalex.org/keywords/parallels","display_name":"parallels","score":0.6029999852180481},{"id":"https://openalex.org/keywords/optimal-mapping","display_name":"optimal mapping","score":0.4180000126361847}],"concepts":[{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.8922059535980225},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.7143375873565674},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7086009979248047},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6357753276824951},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6218876838684082},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.511849582195282},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.49800872802734375},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4529877305030823},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.41721999645233154},{"id":"https://openalex.org/C2775922551","wikidata":"https://www.wikidata.org/wiki/Q7135033","display_name":"Parallels","level":2,"score":0.4122902750968933},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33319759368896484},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18334317207336426},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06732141971588135},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/1024102","doi":"https://doi.org/10.1137/1024102","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1024102","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-a","jufo-3","ki-jl-2","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W210088243","https://openalex.org/W1982112861","https://openalex.org/W2003344261","https://openalex.org/W2027243110"],"related_works":["https://openalex.org/W2003344261","https://openalex.org/W2046055149","https://openalex.org/W2024322660","https://openalex.org/W7138900736","https://openalex.org/W2080984141","https://openalex.org/W28451638","https://openalex.org/W2323035286","https://openalex.org/W1979980771","https://openalex.org/W7128805710","https://openalex.org/W7114999164"],"abstract_inverted_index":{"The":[0,26],"problem":[1],"of":[2,6,22,28,44,64],"mapping":[3],"a":[4,7,11,29],"portion":[5],"spherical":[8],"surface":[9],"onto":[10],"plane":[12],"so":[13],"as":[14],"to":[15,38,55,61],"minimize":[16],"distance":[17],"errors":[18],"(over":[19],"all":[20],"pairs":[21],"points)":[23],"is":[24],"considered.":[25],"use":[27,63],"least":[30],"mean":[31],"square":[32],"criterion,":[33],"with":[34],"area":[35],"weighting,":[36],"leads":[37],"coupled":[39],"integral":[40],"equations;":[41],"numerical":[42],"examples":[43],"their":[45],"solution":[46],"are":[47,67],"given":[48],"for":[49],"regions":[50],"bounded":[51],"by":[52],"parallels.":[53],"Extensions":[54],"more":[56],"general":[57],"weighting":[58],"functions,":[59],"and":[60],"the":[62],"nonuniform":[65],"scales,":[66],"made.":[68]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2016-06-24T00:00:00"}
