{"id":"https://openalex.org/W2397928982","doi":"https://doi.org/10.1109/tgrs.2015.2430619","title":"Multichannel Phase Unwrapping: Problem Topology and Dual-Level Parallel Computational Model","display_name":"Multichannel Phase Unwrapping: Problem Topology and Dual-Level Parallel Computational Model","publication_year":2015,"publication_date":"2015-06-02","ids":{"openalex":"https://openalex.org/W2397928982","doi":"https://doi.org/10.1109/tgrs.2015.2430619","mag":"2397928982"},"language":"en","primary_location":{"id":"doi:10.1109/tgrs.2015.2430619","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2015.2430619","pdf_url":null,"source":{"id":"https://openalex.org/S111326731","display_name":"IEEE Transactions on Geoscience and Remote Sensing","issn_l":"0196-2892","issn":["0196-2892","1558-0644"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Geoscience and Remote Sensing","raw_type":"journal-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/A5043306797","display_name":"Pasquale Imperatore","orcid":"https://orcid.org/0000-0002-0005-7758"},"institutions":[{"id":"https://openalex.org/I4210125249","display_name":"Istituto per il Rilevamento Elettromagnetico dell'Ambiente","ror":"https://ror.org/02wxw4x45","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210125249","https://openalex.org/I4210155236"]},{"id":"https://openalex.org/I4210155236","display_name":"National Research Council","ror":"https://ror.org/04zaypm56","country_code":"IT","type":"nonprofit","lineage":["https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Pasquale Imperatore","raw_affiliation_strings":["Istituto per il Rilevamento Elettromagnetico dell'Ambiente (IREA), National Research Council (CNR), Napoli, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Istituto per il Rilevamento Elettromagnetico dell'Ambiente (IREA), National Research Council (CNR), Napoli, Italy","institution_ids":["https://openalex.org/I4210125249","https://openalex.org/I4210155236"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084862352","display_name":"Antonio Pepe","orcid":"https://orcid.org/0000-0002-7843-3565"},"institutions":[{"id":"https://openalex.org/I4210125249","display_name":"Istituto per il Rilevamento Elettromagnetico dell'Ambiente","ror":"https://ror.org/02wxw4x45","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210125249","https://openalex.org/I4210155236"]},{"id":"https://openalex.org/I4210155236","display_name":"National Research Council","ror":"https://ror.org/04zaypm56","country_code":"IT","type":"nonprofit","lineage":["https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Antonio Pepe","raw_affiliation_strings":["Istituto per il Rilevamento Elettromagnetico dell'Ambiente (IREA), National Research Council (CNR), Napoli, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Istituto per il Rilevamento Elettromagnetico dell'Ambiente (IREA), National Research Council (CNR), Napoli, Italy","institution_ids":["https://openalex.org/I4210125249","https://openalex.org/I4210155236"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057168176","display_name":"Riccardo Lanari","orcid":"https://orcid.org/0000-0002-7296-2749"},"institutions":[{"id":"https://openalex.org/I4210125249","display_name":"Istituto per il Rilevamento Elettromagnetico dell'Ambiente","ror":"https://ror.org/02wxw4x45","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210125249","https://openalex.org/I4210155236"]},{"id":"https://openalex.org/I4210155236","display_name":"National Research Council","ror":"https://ror.org/04zaypm56","country_code":"IT","type":"nonprofit","lineage":["https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Riccardo Lanari","raw_affiliation_strings":["Istituto per il Rilevamento Elettromagnetico dell'Ambiente (IREA), National Research Council (CNR), Napoli, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Istituto per il Rilevamento Elettromagnetico dell'Ambiente (IREA), National Research Council (CNR), Napoli, Italy","institution_ids":["https://openalex.org/I4210125249","https://openalex.org/I4210155236"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":57.0263,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.99562045,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"53","issue":"10","first_page":"5774","last_page":"5793"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10801","display_name":"Synthetic Aperture Radar (SAR) Applications and Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10801","display_name":"Synthetic Aperture Radar (SAR) Applications and Techniques","score":0.9998999834060669,"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/T11609","display_name":"Geophysical Methods and Applications","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T11038","display_name":"Advanced SAR Imaging Techniques","score":0.9941999912261963,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7617820501327515},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.7143778204917908},{"id":"https://openalex.org/keywords/parallelism","display_name":"Parallelism (grammar)","score":0.6111761927604675},{"id":"https://openalex.org/keywords/formalism","display_name":"Formalism (music)","score":0.45476654171943665},{"id":"https://openalex.org/keywords/data-parallelism","display_name":"Data parallelism","score":0.4308406114578247},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41057419776916504},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3623107969760895},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3609495759010315},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.35036125779151917},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3440057933330536},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2004694640636444}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7617820501327515},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.7143778204917908},{"id":"https://openalex.org/C2781172179","wikidata":"https://www.wikidata.org/wiki/Q853109","display_name":"Parallelism (grammar)","level":2,"score":0.6111761927604675},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.45476654171943665},{"id":"https://openalex.org/C61483411","wikidata":"https://www.wikidata.org/wiki/Q3124522","display_name":"Data parallelism","level":3,"score":0.4308406114578247},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41057419776916504},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3623107969760895},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3609495759010315},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.35036125779151917},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3440057933330536},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2004694640636444},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tgrs.2015.2430619","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2015.2430619","pdf_url":null,"source":{"id":"https://openalex.org/S111326731","display_name":"IEEE Transactions on Geoscience and Remote Sensing","issn_l":"0196-2892","issn":["0196-2892","1558-0644"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Geoscience and Remote Sensing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4912928398","display_name":"MEDiterranean SUpersite Volcanoes","funder_award_id":"308665","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320313804","display_name":"Dipartimento della Protezione Civile, Presidenza del Consiglio dei Ministri","ror":"https://ror.org/050xp5d36"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":81,"referenced_works":["https://openalex.org/W112357801","https://openalex.org/W247697463","https://openalex.org/W310261224","https://openalex.org/W585975565","https://openalex.org/W588924597","https://openalex.org/W1503001724","https://openalex.org/W1510543252","https://openalex.org/W1519405745","https://openalex.org/W1522241184","https://openalex.org/W1530753374","https://openalex.org/W1551222684","https://openalex.org/W1561673278","https://openalex.org/W1578415644","https://openalex.org/W1580684925","https://openalex.org/W1582830241","https://openalex.org/W1600301286","https://openalex.org/W1672745209","https://openalex.org/W1791130903","https://openalex.org/W1793571368","https://openalex.org/W1969924095","https://openalex.org/W1970302608","https://openalex.org/W1970735472","https://openalex.org/W1978188220","https://openalex.org/W1978468086","https://openalex.org/W1979202050","https://openalex.org/W2004701107","https://openalex.org/W2007434385","https://openalex.org/W2016059521","https://openalex.org/W2019781682","https://openalex.org/W2024364443","https://openalex.org/W2025494752","https://openalex.org/W2036330938","https://openalex.org/W2047029664","https://openalex.org/W2061577342","https://openalex.org/W2065989874","https://openalex.org/W2087148705","https://openalex.org/W2096120508","https://openalex.org/W2099214099","https://openalex.org/W2100190196","https://openalex.org/W2101690226","https://openalex.org/W2110940994","https://openalex.org/W2118442249","https://openalex.org/W2121557891","https://openalex.org/W2123632763","https://openalex.org/W2124224548","https://openalex.org/W2128513227","https://openalex.org/W2129206142","https://openalex.org/W2129849658","https://openalex.org/W2130204909","https://openalex.org/W2132387013","https://openalex.org/W2132861185","https://openalex.org/W2133177642","https://openalex.org/W2141414687","https://openalex.org/W2141769843","https://openalex.org/W2142587760","https://openalex.org/W2142959090","https://openalex.org/W2150207495","https://openalex.org/W2152189873","https://openalex.org/W2152512929","https://openalex.org/W2152657318","https://openalex.org/W2152852227","https://openalex.org/W2153457865","https://openalex.org/W2156264246","https://openalex.org/W2156323486","https://openalex.org/W2159046795","https://openalex.org/W2161661683","https://openalex.org/W2163062228","https://openalex.org/W2166166955","https://openalex.org/W2169213859","https://openalex.org/W2332183900","https://openalex.org/W2479778494","https://openalex.org/W2488902112","https://openalex.org/W2504694240","https://openalex.org/W2799004609","https://openalex.org/W3038830718","https://openalex.org/W3159068915","https://openalex.org/W4213060235","https://openalex.org/W4232499108","https://openalex.org/W4246047487","https://openalex.org/W4246367117","https://openalex.org/W4392909747"],"related_works":["https://openalex.org/W2317245370","https://openalex.org/W4249323025","https://openalex.org/W198851386","https://openalex.org/W2030310580","https://openalex.org/W947442053","https://openalex.org/W1980160788","https://openalex.org/W2148915962","https://openalex.org/W2283866686","https://openalex.org/W4230999561","https://openalex.org/W1595672120"],"abstract_inverted_index":{"In":[0],"the":[1,5,13,32,35,45,50,65,80,95,106,121,134,144,157,165,170,174,190],"theoretical":[2],"purview":[3],"of":[4,12,24,34,49,94,146,159,173,189],"discrete":[6,25,37],"Calculus,":[7],"a":[8,53,113,163,178,183],"rigorous":[9],"gradient-based":[10],"formulation":[11,93],"multichannel":[14],"phase":[15],"unwrapping":[16],"(MCh-PhU)":[17],"problem":[18,51,176],"is":[19,83,89,99,103,123,138],"systematically":[20],"established":[21],"in":[22,119,177],"terms":[23],"differential":[26],"operators,":[27],"which":[28,40,72,120],"are":[29],"defined":[30],"by":[31],"topology":[33],"intrinsically":[36],"spaces":[38],"upon":[39],"they":[41],"act,":[42],"thus":[43,142],"capturing":[44],"essential":[46],"topological":[47],"character":[48],"within":[52],"suitable":[54],"matrix":[55],"formalism":[56],"and":[57,85,108],"providing":[58],"interesting":[59],"implications.":[60],"Within":[61],"this":[62],"methodological":[63,107],"framework,":[64],"extended":[66],"minimum":[67],"cost":[68],"flow":[69],"(EMCF)":[70],"algorithm,":[71],"provides":[73],"an":[74],"effective":[75],"strategy":[76],"aimed":[77],"at":[78,126,148],"solving":[79],"MCh-PhU":[81,175],"problem,":[82],"revised,":[84],"its":[86],"computational":[87,117],"structure":[88],"analyzed.":[90],"A":[91],"parallel":[92,116,167],"computational-intensive":[96],"EMCF":[97],"algorithm":[98],"then":[100],"presented.":[101],"Emphasis":[102],"placed":[104],"on":[105,186],"practical":[109],"aspects":[110],"leading":[111],"to":[112,133],"novel":[114],"dual-level":[115],"model":[118],"parallelism":[122,147],"hierarchically":[124],"implemented":[125,135],"two":[127],"different":[128,149],"levels.":[129,150],"Performance":[130],"evaluation":[131],"relevant":[132],"prototype":[136,168],"solution":[137,172],"also":[139],"carried":[140],"out,":[141],"quantifying":[143],"benefit":[145],"The":[151],"significant":[152],"experimentally":[153],"achieved":[154],"speedup":[155],"demonstrates":[156],"validity":[158],"our":[160],"approach.":[161],"As":[162],"result,":[164],"attained":[166],"enables":[169],"large-scale":[171],"reasonable":[179],"time":[180],"frame,":[181],"with":[182],"great":[184],"impact":[185],"systematic":[187],"exploitation":[188],"available":[191],"SAR":[192],"archives.":[193]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
