{"id":"https://openalex.org/W4283642281","doi":"https://doi.org/10.1007/s10915-022-01898-5","title":"A Constructive Algorithm for Disk Conformal Parameterizations","display_name":"A Constructive Algorithm for Disk Conformal Parameterizations","publication_year":2022,"publication_date":"2022-06-27","ids":{"openalex":"https://openalex.org/W4283642281","doi":"https://doi.org/10.1007/s10915-022-01898-5"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-022-01898-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-022-01898-5","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/s10915-022-01898-5","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002531402","display_name":"Wei-Hung Liao","orcid":null},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Wei-Hung Liao","raw_affiliation_strings":["Department of Applied Mathematics, National Yang Ming Chiao Tung University, Hsinchu, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, National Yang Ming Chiao Tung University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I148366613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060158081","display_name":"Mei-Heng Yueh","orcid":"https://orcid.org/0000-0002-6873-5818"},"institutions":[{"id":"https://openalex.org/I134161618","display_name":"National Taiwan Normal University","ror":"https://ror.org/059dkdx38","country_code":"TW","type":"education","lineage":["https://openalex.org/I134161618"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Mei-Heng Yueh","raw_affiliation_strings":["Department of Mathematics, National Taiwan Normal University, Taipei, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Taiwan Normal University, Taipei, Taiwan","institution_ids":["https://openalex.org/I134161618"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5060158081"],"corresponding_institution_ids":["https://openalex.org/I134161618"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.4877,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.54940059,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"92","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9986000061035156,"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"}},{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9919000267982483,"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/computation","display_name":"Computation","score":0.8089920282363892},{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.807009220123291},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.7360305786132812},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.730952799320221},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.7061462998390198},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.6478854417800903},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5432750582695007},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.5172401070594788},{"id":"https://openalex.org/keywords/harmonic-map","display_name":"Harmonic map","score":0.4864828288555145},{"id":"https://openalex.org/keywords/texture-mapping","display_name":"Texture mapping","score":0.44400838017463684},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.43484023213386536},{"id":"https://openalex.org/keywords/spherical-harmonics","display_name":"Spherical harmonics","score":0.4208938479423523},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2882183790206909},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20724809169769287},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19993987679481506}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.8089920282363892},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.807009220123291},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.7360305786132812},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.730952799320221},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.7061462998390198},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6478854417800903},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5432750582695007},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.5172401070594788},{"id":"https://openalex.org/C6270764","wikidata":"https://www.wikidata.org/wiki/Q5659257","display_name":"Harmonic map","level":2,"score":0.4864828288555145},{"id":"https://openalex.org/C200585589","wikidata":"https://www.wikidata.org/wiki/Q752176","display_name":"Texture mapping","level":2,"score":0.44400838017463684},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.43484023213386536},{"id":"https://openalex.org/C3768446","wikidata":"https://www.wikidata.org/wiki/Q877100","display_name":"Spherical harmonics","level":2,"score":0.4208938479423523},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2882183790206909},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20724809169769287},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19993987679481506},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-022-01898-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-022-01898-5","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10915-022-01898-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-022-01898-5","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6693337343","display_name":null,"funder_award_id":"110-2115-M-003-014-","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"},{"id":"https://openalex.org/G8389470350","display_name":null,"funder_award_id":"NTNU-110F0138","funder_id":"https://openalex.org/F4320311687","funder_display_name":"Ministry of Education"}],"funders":[{"id":"https://openalex.org/F4320311687","display_name":"Ministry of Education","ror":"https://ror.org/03m01yf64"},{"id":"https://openalex.org/F4320322795","display_name":"Ministry of Science and Technology, Taiwan","ror":"https://ror.org/02kv4zf79"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W120859022","https://openalex.org/W199717505","https://openalex.org/W1621614599","https://openalex.org/W1809566560","https://openalex.org/W1890417865","https://openalex.org/W1965827371","https://openalex.org/W1972315131","https://openalex.org/W1975235488","https://openalex.org/W2024991751","https://openalex.org/W2045852104","https://openalex.org/W2046252220","https://openalex.org/W2059654406","https://openalex.org/W2065140986","https://openalex.org/W2068834636","https://openalex.org/W2085062858","https://openalex.org/W2086211692","https://openalex.org/W2096817454","https://openalex.org/W2097246665","https://openalex.org/W2099151424","https://openalex.org/W2106025841","https://openalex.org/W2113085766","https://openalex.org/W2120398992","https://openalex.org/W2127033124","https://openalex.org/W2131283235","https://openalex.org/W2135370022","https://openalex.org/W2164435545","https://openalex.org/W2322151816","https://openalex.org/W2322621697","https://openalex.org/W2381802938","https://openalex.org/W2413561362","https://openalex.org/W2434575306","https://openalex.org/W2505390647","https://openalex.org/W2537228944","https://openalex.org/W2605879901","https://openalex.org/W2607599593","https://openalex.org/W2612496203","https://openalex.org/W2790338531","https://openalex.org/W2926893252","https://openalex.org/W2950053202","https://openalex.org/W2953308089","https://openalex.org/W2962929605","https://openalex.org/W2963608135","https://openalex.org/W2963673360","https://openalex.org/W3000211808","https://openalex.org/W3027955118","https://openalex.org/W3083958452","https://openalex.org/W3100912997","https://openalex.org/W3102007725","https://openalex.org/W3124421169","https://openalex.org/W3215681067","https://openalex.org/W4206225701","https://openalex.org/W4246041266","https://openalex.org/W4281970230","https://openalex.org/W6602474744"],"related_works":["https://openalex.org/W3148592204","https://openalex.org/W2066342121","https://openalex.org/W4300162181","https://openalex.org/W2952975609","https://openalex.org/W2110761652","https://openalex.org/W2950258369","https://openalex.org/W2016944920","https://openalex.org/W1823789587","https://openalex.org/W4307323138","https://openalex.org/W4283642281"],"abstract_inverted_index":{"Abstract":[0],"Surface":[1],"parameterization":[2],"is":[3,100],"a":[4],"fundamental":[5],"issue":[6],"widely":[7],"studied":[8],"and":[9,14,23,58],"applied":[10],"in":[11,71],"various":[12],"image":[13],"geometry":[15],"processing":[16],"tasks,":[17],"such":[18],"as":[19],"surface":[20,57,83],"registration,":[21],"remeshing,":[22],"texture":[24],"mapping.":[25],"In":[26,62],"this":[27],"paper,":[28],"we":[29,64],"propose":[30],"an":[31],"efficient":[32],"constructive":[33],"algorithm":[34,99],"for":[35],"the":[36,49,54,59,66,72,75,80,94,97,103,113],"computation":[37,73],"of":[38,42,53,68,74,79,96],"disk":[39],"conformal":[40],"parameterizations":[41],"simply":[43],"connected":[44],"open":[45],"surfaces":[46],"by":[47,87],"combining":[48],"spherical":[50,76],"harmonic":[51,77],"mapping":[52,78],"doubly":[55,81],"covered":[56,82],"geodesic":[60],"algorithm.":[61],"addition,":[63],"prove":[65],"number":[67],"unknowns":[69],"involved":[70],"can":[84],"be":[85],"reduced":[86],"roughly":[88],"half.":[89],"Numerical":[90],"experiments":[91],"indicate":[92],"that":[93],"efficiency":[95],"proposed":[98],"improved":[101],"while":[102],"accuracy":[104],"remains":[105],"similar":[106],"or":[107],"even":[108],"slightly":[109],"better":[110],"compared":[111],"to":[112],"other":[114],"state-of-the-art":[115],"algorithms.":[116]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}