{"id":"https://openalex.org/W2937200244","doi":"https://doi.org/10.1109/icassp.2019.8682258","title":"A Convex Lifting Approach to Image Phase Unwrapping","display_name":"A Convex Lifting Approach to Image Phase Unwrapping","publication_year":2019,"publication_date":"2019-04-17","ids":{"openalex":"https://openalex.org/W2937200244","doi":"https://doi.org/10.1109/icassp.2019.8682258","mag":"2937200244"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2019.8682258","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2019.8682258","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5024254029","display_name":"Laurent Condat","orcid":"https://orcid.org/0000-0001-7087-1002"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210124956","display_name":"GIPSA-Lab","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Laurent Condat","raw_affiliation_strings":["GIPSA-Lab, Univ. Grenoble Alpes, CNRS, Grenoble, France","GIPSA-AGPIG - GIPSA - Architecture, G\u00e9om\u00e9trie, Perception, Images, Gestes (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"GIPSA-Lab, Univ. Grenoble Alpes, CNRS, Grenoble, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006"]},{"raw_affiliation_string":"GIPSA-AGPIG - GIPSA - Architecture, G\u00e9om\u00e9trie, Perception, Images, Gestes (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)","institution_ids":["https://openalex.org/I4210124956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088737648","display_name":"Daichi Kitahara","orcid":"https://orcid.org/0000-0002-6365-4314"},"institutions":[{"id":"https://openalex.org/I135768898","display_name":"Ritsumeikan University","ror":"https://ror.org/0197nmd03","country_code":"JP","type":"education","lineage":["https://openalex.org/I135768898","https://openalex.org/I4390039241"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Daichi Kitahara","raw_affiliation_strings":["College of Information Science and Engineering, Ritsumeikan University, Kusatsu, Japan","Ritsumeikan University (Japan)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Ritsumeikan University, Kusatsu, Japan","institution_ids":["https://openalex.org/I135768898"]},{"raw_affiliation_string":"Ritsumeikan University (Japan)","institution_ids":["https://openalex.org/I135768898"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112495604","display_name":"Akira Hirabayashi","orcid":null},"institutions":[{"id":"https://openalex.org/I135768898","display_name":"Ritsumeikan University","ror":"https://ror.org/0197nmd03","country_code":"JP","type":"education","lineage":["https://openalex.org/I135768898","https://openalex.org/I4390039241"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Akira Hirabayashi","raw_affiliation_strings":["College of Information Science and Engineering, Ritsumeikan University, Kusatsu, Japan","College of Information Science and Engineering (Kyoto - Japan)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Ritsumeikan University, Kusatsu, Japan","institution_ids":["https://openalex.org/I135768898"]},{"raw_affiliation_string":"College of Information Science and Engineering (Kyoto - Japan)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.366,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.63892538,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1852","last_page":"1856"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10638","display_name":"Optical measurement and interference techniques","score":0.9990000128746033,"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/T10638","display_name":"Optical measurement and interference techniques","score":0.9990000128746033,"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/T10801","display_name":"Synthetic Aperture Radar (SAR) Applications and Techniques","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T11211","display_name":"3D Surveying and Cultural Heritage","score":0.9764000177383423,"subfield":{"id":"https://openalex.org/subfields/1907","display_name":"Geology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5895608067512512},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.5430781841278076},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.5176222920417786},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4952670633792877},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4541579484939575},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.45133429765701294},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42129209637641907},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4137255847454071},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.4110395312309265},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.41083937883377075},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4052572548389435},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3703606128692627},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25245100259780884},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1530185341835022},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1419081687927246},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07103943824768066}],"concepts":[{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5895608067512512},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5430781841278076},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.5176222920417786},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4952670633792877},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4541579484939575},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.45133429765701294},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42129209637641907},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4137255847454071},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.4110395312309265},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.41083937883377075},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4052572548389435},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3703606128692627},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25245100259780884},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1530185341835022},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1419081687927246},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07103943824768066},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icassp.2019.8682258","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2019.8682258","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-02350655v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02350655","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://2019.ieeeicassp.org","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8500000238418579,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W205960364","https://openalex.org/W585975565","https://openalex.org/W1547941176","https://openalex.org/W1966271175","https://openalex.org/W1971861370","https://openalex.org/W1983935825","https://openalex.org/W1998991750","https://openalex.org/W2006473714","https://openalex.org/W2024364443","https://openalex.org/W2038495454","https://openalex.org/W2059026603","https://openalex.org/W2065989874","https://openalex.org/W2088293348","https://openalex.org/W2091764829","https://openalex.org/W2092663520","https://openalex.org/W2097880538","https://openalex.org/W2100809985","https://openalex.org/W2129206142","https://openalex.org/W2130204909","https://openalex.org/W2138144773","https://openalex.org/W2146807782","https://openalex.org/W2152403125","https://openalex.org/W2152551018","https://openalex.org/W2158755508","https://openalex.org/W2159006012","https://openalex.org/W2160107571","https://openalex.org/W2180180824","https://openalex.org/W2295624669","https://openalex.org/W2370904306","https://openalex.org/W2616099408","https://openalex.org/W2751523490","https://openalex.org/W2791616353","https://openalex.org/W2792756448","https://openalex.org/W2963085822","https://openalex.org/W4229650096","https://openalex.org/W4249151120","https://openalex.org/W4295151080","https://openalex.org/W6687639317","https://openalex.org/W6738646973"],"related_works":["https://openalex.org/W3153752017","https://openalex.org/W2040676043","https://openalex.org/W1977643895","https://openalex.org/W3125145310","https://openalex.org/W2391091101","https://openalex.org/W2051968184","https://openalex.org/W2610781457","https://openalex.org/W4256242347","https://openalex.org/W4317914276","https://openalex.org/W2510140549"],"abstract_inverted_index":{"The":[0],"nonlinear":[1],"inverse":[2],"problem":[3],"of":[4,47,60],"2-D":[5],"phase":[6],"unwrapping":[7],"consists":[8,27],"in":[9,28],"estimating":[10],"an":[11,30],"image,":[12],"while":[13],"its":[14],"pixel":[15],"values":[16],"are":[17],"observed":[18],"modulo":[19],"2\u03c0.":[20],"A":[21],"variational":[22],"formulation":[23],"is":[24],"considered,":[25],"which":[26],"minimizing":[29],"energy,":[31],"convex":[32,45],"or":[33,54],"not,":[34],"under":[35],"the":[36,58,61],"nonconvex":[37],"data":[38],"fidelity":[39],"constraints.":[40],"We":[41],"propose":[42],"a":[43],"new":[44],"relaxation":[46],"this":[48],"combinatorial":[49],"problem.":[50],"It":[51],"shows":[52],"similar":[53],"better":[55],"performances":[56],"than":[57],"state":[59],"art.":[62]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}