{"id":"https://openalex.org/W2132057368","doi":"https://doi.org/10.1109/iccv.2011.6126521","title":"Parallelizable inpainting and refinement of diffeomorphisms using Beltrami holomorphic flow","display_name":"Parallelizable inpainting and refinement of diffeomorphisms using Beltrami holomorphic flow","publication_year":2011,"publication_date":"2011-11-01","ids":{"openalex":"https://openalex.org/W2132057368","doi":"https://doi.org/10.1109/iccv.2011.6126521","mag":"2132057368"},"language":"en","primary_location":{"id":"doi:10.1109/iccv.2011.6126521","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccv.2011.6126521","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 International Conference on Computer Vision","raw_type":"proceedings-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/A5022629710","display_name":"Tsz Wai Wong","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Tsz Wai Wong","raw_affiliation_strings":["University of California, Los Angeles Department of Mathematics, 520 Portola Plaza, Math Science Building 6363, UCLA, 90095, USA","Department of Mathematics, University of California, Los Angeles, Los Angeles, CA, USA"],"affiliations":[{"raw_affiliation_string":"University of California, Los Angeles Department of Mathematics, 520 Portola Plaza, Math Science Building 6363, UCLA, 90095, USA","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"Department of Mathematics, University of California, Los Angeles, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100607707","display_name":"Xianfeng Gu","orcid":"https://orcid.org/0000-0001-8226-5851"},"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"]},{"id":"https://openalex.org/I1327163397","display_name":"State University of New York","ror":"https://ror.org/01q1z8k08","country_code":"US","type":"education","lineage":["https://openalex.org/I1327163397"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xianfeng Gu","raw_affiliation_strings":["State University of New York at Stony Brook, Department of Computer Science, Room 2425, Computer Science Building, State University of New York at Stony Brook, 11794-4400, USA","Department of Computer Science, State University of New York, Stony Brook, Stony Brook, NY, USA"],"affiliations":[{"raw_affiliation_string":"State University of New York at Stony Brook, Department of Computer Science, Room 2425, Computer Science Building, State University of New York at Stony Brook, 11794-4400, USA","institution_ids":["https://openalex.org/I59553526"]},{"raw_affiliation_string":"Department of Computer Science, State University of New York, Stony Brook, Stony Brook, NY, USA","institution_ids":["https://openalex.org/I59553526","https://openalex.org/I1327163397"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003735769","display_name":"Tony F. Chan","orcid":"https://orcid.org/0000-0001-6196-2068"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]},{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Tony F. Chan","raw_affiliation_strings":["Hong Kong University of Science and Technology, Office of the President, HKUST, Clear Water Bay, Kowloon, Hong Kong","Office of the President, Hong Kong University of Science and Technology, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Hong Kong University of Science and Technology, Office of the President, HKUST, Clear Water Bay, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"]},{"raw_affiliation_string":"Office of the President, Hong Kong University of Science and Technology, Hong Kong, China","institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046845149","display_name":"Lok Ming Lui","orcid":"https://orcid.org/0000-0002-9152-0743"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lok Ming Lui","raw_affiliation_strings":["The Chinese University of Hong Kong, Department of Mathematics, Room 207, Lady Shaw Building, CUHK, Shatin, Hong Kong","Department of Mathematics, Chinese University of Hong Kong, Sha Tin, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"The Chinese University of Hong Kong, Department of Mathematics, Room 207, Lady Shaw Building, CUHK, Shatin, Hong Kong","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"Department of Mathematics, Chinese University of Hong Kong, Sha Tin, Hong Kong, China","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5022629710"],"corresponding_institution_ids":["https://openalex.org/I161318765"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.16994249,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"2383","last_page":"2390"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9983999729156494,"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/inpainting","display_name":"Inpainting","score":0.9601752758026123},{"id":"https://openalex.org/keywords/diffeomorphism","display_name":"Diffeomorphism","score":0.9067010283470154},{"id":"https://openalex.org/keywords/parallelizable-manifold","display_name":"Parallelizable manifold","score":0.5690426826477051},{"id":"https://openalex.org/keywords/holomorphic-function","display_name":"Holomorphic function","score":0.5231308341026306},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4936267137527466},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4856966435909271},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.46965542435646057},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.45650821924209595},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44266757369041443},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3600584864616394},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.26503270864486694},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2349545955657959},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1863076388835907}],"concepts":[{"id":"https://openalex.org/C11727466","wikidata":"https://www.wikidata.org/wiki/Q1628157","display_name":"Inpainting","level":3,"score":0.9601752758026123},{"id":"https://openalex.org/C47556283","wikidata":"https://www.wikidata.org/wiki/Q1058314","display_name":"Diffeomorphism","level":2,"score":0.9067010283470154},{"id":"https://openalex.org/C148047603","wikidata":"https://www.wikidata.org/wiki/Q1014612","display_name":"Parallelizable manifold","level":2,"score":0.5690426826477051},{"id":"https://openalex.org/C204575570","wikidata":"https://www.wikidata.org/wiki/Q207476","display_name":"Holomorphic function","level":2,"score":0.5231308341026306},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4936267137527466},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4856966435909271},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.46965542435646057},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.45650821924209595},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44266757369041443},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3600584864616394},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.26503270864486694},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2349545955657959},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1863076388835907}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/iccv.2011.6126521","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccv.2011.6126521","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 International Conference on Computer Vision","raw_type":"proceedings-article"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-48592","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-48592","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Conference paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1509995649","https://openalex.org/W1561974326","https://openalex.org/W1601916988","https://openalex.org/W1935943493","https://openalex.org/W1966498583","https://openalex.org/W1987898009","https://openalex.org/W2022935832","https://openalex.org/W2031832209","https://openalex.org/W2073054797","https://openalex.org/W2086282744","https://openalex.org/W2130870457","https://openalex.org/W2138068359","https://openalex.org/W2142441066","https://openalex.org/W2165736859","https://openalex.org/W2250107905","https://openalex.org/W6633491813","https://openalex.org/W6636055393"],"related_works":["https://openalex.org/W2380775572","https://openalex.org/W4285069850","https://openalex.org/W1974634278","https://openalex.org/W4240963716","https://openalex.org/W2213520135","https://openalex.org/W2891970004","https://openalex.org/W2244018504","https://openalex.org/W4301075503","https://openalex.org/W1501643752","https://openalex.org/W2253957998"],"abstract_inverted_index":{"In":[0],"this":[1,34,56],"paper,":[2],"we":[3,42],"propose":[4],"novel":[5],"algorithms":[6,61],"for":[7],"inpainting":[8,69,76],"and":[9,28,87,109,130],"refinement":[10],"of":[11,70,77,80,85,91],"diffeomorphisms.":[12],"We":[13,58,112],"first":[14],"represent":[15],"a":[16,44,71],"diffeomorphism":[17,31,46],"by":[18,32,94],"its":[19],"Beltrami":[20,35,40,50],"coefficient.":[21,36],"Then":[22],"it":[23],"is":[24],"possible":[25],"to":[26,127,134],"refine":[27],"inpaint":[29],"the":[30,38,48,68,75,83,88],"processing":[33],"With":[37],"inpainted/refined":[39],"coefficient,":[41],"construct":[43],"new":[45],"using":[47],"exact":[49],"holomorphic":[51],"flow":[52],"algorithm":[53,102],"proposed":[54,116],"in":[55,122],"paper.":[57],"apply":[59],"our":[60,101,115],"on":[62],"several":[63],"practical":[64],"applications,":[65],"which":[66],"include":[67],"highly":[72],"distorted":[73],"diffeomorphism,":[74],"image":[78],"sequences":[79],"deforming":[81],"shapes,":[82],"super-resolution":[84],"diffeomorphisms":[86],"global":[89],"parameterization":[90],"cortical":[92],"surfaces":[93],"combining":[95],"local":[96],"parameterizations.":[97],"Experiments":[98],"show":[99],"that":[100],"can":[103,118],"solve":[104],"these":[105],"problems":[106],"with":[107],"natural":[108],"smooth":[110],"results.":[111],"demonstrate":[113],"how":[114],"method":[117],"be":[119],"widely":[120],"applied":[121],"areas":[123],"from":[124,131],"texture":[125],"mapping":[126],"video":[128],"processing,":[129],"computer":[132],"graphics":[133],"medical":[135],"imaging.":[136]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}