{"id":"https://openalex.org/W1835191920","doi":"https://doi.org/10.1007/3-540-44634-6_3","title":"Optimal M\u00f6bius Transformations for Information Visualization and Meshing","display_name":"Optimal M\u00f6bius Transformations for Information Visualization and Meshing","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W1835191920","doi":"https://doi.org/10.1007/3-540-44634-6_3","mag":"1835191920"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-44634-6_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-44634-6_3","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5056449861","display_name":"Marshall Bern","orcid":"https://orcid.org/0000-0003-0342-9390"},"institutions":[{"id":"https://openalex.org/I173498003","display_name":"Palo Alto Research Center","ror":"https://ror.org/0529fxt39","country_code":"US","type":"facility","lineage":["https://openalex.org/I173498003","https://openalex.org/I4210132870"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Marshall Bern","raw_affiliation_strings":["Xerox PARC, 3333 Coyote Hill Rd., Palo Alto, CA, 94304, USA","Xerox PARC.#TAB#"],"affiliations":[{"raw_affiliation_string":"Xerox PARC, 3333 Coyote Hill Rd., Palo Alto, CA, 94304, USA","institution_ids":["https://openalex.org/I173498003"]},{"raw_affiliation_string":"Xerox PARC.#TAB#","institution_ids":["https://openalex.org/I173498003"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108527295","display_name":"David Eppstein","orcid":null},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Eppstein","raw_affiliation_strings":["Dept. Inf. & Comp. Sci., UC Irvine, CA, 92697-3425, USA","Dept. Inf. & Comp. Sci"],"affiliations":[{"raw_affiliation_string":"Dept. Inf. & Comp. Sci., UC Irvine, CA, 92697-3425, USA","institution_ids":["https://openalex.org/I204250578"]},{"raw_affiliation_string":"Dept. Inf. & Comp. Sci","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056449861"],"corresponding_institution_ids":["https://openalex.org/I173498003"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.9759,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.86552567,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"14","last_page":"25"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9987999796867371,"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":0.9987999796867371,"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":0.9973000288009644,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9968000054359436,"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/unit-sphere","display_name":"Unit sphere","score":0.7130371928215027},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6740190386772156},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.6259946823120117},{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.6225142478942871},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5979057550430298},{"id":"https://openalex.org/keywords/quasiconvex-function","display_name":"Quasiconvex function","score":0.5366885662078857},{"id":"https://openalex.org/keywords/graph-drawing","display_name":"Graph drawing","score":0.4987056255340576},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4851003885269165},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4308674931526184},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.42889106273651123},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4175017774105072},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36568957567214966},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33356788754463196},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.26126396656036377},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2502966821193695},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19588670134544373},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15284323692321777}],"concepts":[{"id":"https://openalex.org/C191948623","wikidata":"https://www.wikidata.org/wiki/Q1307800","display_name":"Unit sphere","level":2,"score":0.7130371928215027},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6740190386772156},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.6259946823120117},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.6225142478942871},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5979057550430298},{"id":"https://openalex.org/C80278974","wikidata":"https://www.wikidata.org/wiki/Q1126412","display_name":"Quasiconvex function","level":5,"score":0.5366885662078857},{"id":"https://openalex.org/C112953755","wikidata":"https://www.wikidata.org/wiki/Q739462","display_name":"Graph drawing","level":3,"score":0.4987056255340576},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4851003885269165},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4308674931526184},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.42889106273651123},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4175017774105072},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36568957567214966},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33356788754463196},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26126396656036377},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2502966821193695},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19588670134544373},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15284323692321777},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.0},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/3-540-44634-6_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-44634-6_3","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.28.6456","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.28.6456","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ics.uci.edu/~eppstein/pubs/BerEpp-WADS-01-omt.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.342.716","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.342.716","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/cs/0101006v1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W123789770","https://openalex.org/W1542333376","https://openalex.org/W1597910718","https://openalex.org/W1809566560","https://openalex.org/W1823199479","https://openalex.org/W1835191920","https://openalex.org/W1946815969","https://openalex.org/W1976455030","https://openalex.org/W1987917973","https://openalex.org/W1997964544","https://openalex.org/W1999601745","https://openalex.org/W2011615010","https://openalex.org/W2017155445","https://openalex.org/W2022853835","https://openalex.org/W2026506423","https://openalex.org/W2029182108","https://openalex.org/W2034666435","https://openalex.org/W2057382776","https://openalex.org/W2103418735","https://openalex.org/W2107034998","https://openalex.org/W2122844470","https://openalex.org/W2142070606","https://openalex.org/W2148653066","https://openalex.org/W2152479402","https://openalex.org/W2167965847","https://openalex.org/W2546634037","https://openalex.org/W2762051376","https://openalex.org/W2950200454","https://openalex.org/W3015754474","https://openalex.org/W3106306093","https://openalex.org/W4246014943"],"related_works":["https://openalex.org/W2371757614","https://openalex.org/W2039848558","https://openalex.org/W2353108772","https://openalex.org/W2063287401","https://openalex.org/W4251085027","https://openalex.org/W2386776468","https://openalex.org/W4232994841","https://openalex.org/W2384568502","https://openalex.org/W2391571456","https://openalex.org/W3037943248"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}