{"id":"https://openalex.org/W3128362804","doi":"https://doi.org/10.23919/eusipco54536.2021.9616317","title":"Multiscale Anisotropic Harmonic Filters on non Euclidean domains","display_name":"Multiscale Anisotropic Harmonic Filters on non Euclidean domains","publication_year":2021,"publication_date":"2021-08-23","ids":{"openalex":"https://openalex.org/W3128362804","doi":"https://doi.org/10.23919/eusipco54536.2021.9616317","mag":"3128362804"},"language":"en","primary_location":{"id":"doi:10.23919/eusipco54536.2021.9616317","is_oa":false,"landing_page_url":"https://doi.org/10.23919/eusipco54536.2021.9616317","pdf_url":null,"source":{"id":"https://openalex.org/S4363607854","display_name":"2021 29th European Signal Processing Conference (EUSIPCO)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 29th European Signal Processing Conference (EUSIPCO)","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/A5103205353","display_name":"Francesco Conti","orcid":"https://orcid.org/0000-0002-3428-7228"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Francesco Conti","raw_affiliation_strings":["Dept. of Information, Electronics and Telecommunication, University of Rome \u201cSapienza\u201d","Dept. of Information, Electronics and Telecommunication, University of Rome \"Sapienza\""],"affiliations":[{"raw_affiliation_string":"Dept. of Information, Electronics and Telecommunication, University of Rome \u201cSapienza\u201d","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Dept. of Information, Electronics and Telecommunication, University of Rome \"Sapienza\"","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053640493","display_name":"Gaetano Scarano","orcid":"https://orcid.org/0000-0002-1120-707X"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Gaetano Scarano","raw_affiliation_strings":["Dept. of Information, Electronics and Telecommunication, University of Rome \u201cSapienza\u201d","Dept. of Information, Electronics and Telecommunication, University of Rome \"Sapienza\""],"affiliations":[{"raw_affiliation_string":"Dept. of Information, Electronics and Telecommunication, University of Rome \u201cSapienza\u201d","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Dept. of Information, Electronics and Telecommunication, University of Rome \"Sapienza\"","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037476254","display_name":"Stefania Colonnese","orcid":"https://orcid.org/0000-0002-1807-2155"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Stefania Colonnese","raw_affiliation_strings":["Dept. of Information, Electronics and Telecommunication, University of Rome \u201cSapienza\u201d","Dept. of Information, Electronics and Telecommunication, University of Rome \"Sapienza\""],"affiliations":[{"raw_affiliation_string":"Dept. of Information, Electronics and Telecommunication, University of Rome \u201cSapienza\u201d","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Dept. of Information, Electronics and Telecommunication, University of Rome \"Sapienza\"","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5103205353"],"corresponding_institution_ids":["https://openalex.org/I861853513"],"apc_list":null,"apc_paid":null,"fwci":0.1654,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.52447042,"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":"701","last_page":"705"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9941999912261963,"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":0.9941999912261963,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9922000169754028,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9853000044822693,"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/smoothing","display_name":"Smoothing","score":0.6274332404136658},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.5547913312911987},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5452918410301208},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4552454352378845},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.4466986060142517},{"id":"https://openalex.org/keywords/point-cloud","display_name":"Point cloud","score":0.4197912812232971},{"id":"https://openalex.org/keywords/heat-kernel","display_name":"Heat kernel","score":0.4168010652065277},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.4167827367782593},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.41327157616615295},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.41098642349243164},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.35723745822906494},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33908817172050476},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.27783429622650146},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22462281584739685},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18866023421287537}],"concepts":[{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.6274332404136658},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5547913312911987},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5452918410301208},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4552454352378845},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.4466986060142517},{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.4197912812232971},{"id":"https://openalex.org/C183212220","wikidata":"https://www.wikidata.org/wiki/Q3345669","display_name":"Heat kernel","level":2,"score":0.4168010652065277},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.4167827367782593},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.41327157616615295},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.41098642349243164},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35723745822906494},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33908817172050476},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.27783429622650146},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22462281584739685},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18866023421287537},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/eusipco54536.2021.9616317","is_oa":false,"landing_page_url":"https://doi.org/10.23919/eusipco54536.2021.9616317","pdf_url":null,"source":{"id":"https://openalex.org/S4363607854","display_name":"2021 29th European Signal Processing Conference (EUSIPCO)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 29th European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1498318113","https://openalex.org/W1758110319","https://openalex.org/W1970560687","https://openalex.org/W1982465050","https://openalex.org/W1987962221","https://openalex.org/W1994393928","https://openalex.org/W2061010610","https://openalex.org/W2091090567","https://openalex.org/W2094373313","https://openalex.org/W2101491865","https://openalex.org/W2128902913","https://openalex.org/W2135959629","https://openalex.org/W2158787690","https://openalex.org/W2558748708","https://openalex.org/W2796431263","https://openalex.org/W2878567920","https://openalex.org/W2921589965","https://openalex.org/W2963021451","https://openalex.org/W2963738599","https://openalex.org/W2970633157","https://openalex.org/W2974767112","https://openalex.org/W2998957818","https://openalex.org/W3011182352","https://openalex.org/W3033010246","https://openalex.org/W3036639299","https://openalex.org/W3044633497","https://openalex.org/W3095796013","https://openalex.org/W3096037331","https://openalex.org/W3100220783","https://openalex.org/W3124193169","https://openalex.org/W4210770595","https://openalex.org/W4287827412","https://openalex.org/W6781261027"],"related_works":["https://openalex.org/W1978572805","https://openalex.org/W2383807498","https://openalex.org/W1997992934","https://openalex.org/W1987225439","https://openalex.org/W4238188170","https://openalex.org/W2125114371","https://openalex.org/W2019977573","https://openalex.org/W2149980199","https://openalex.org/W3125766170","https://openalex.org/W2376037591"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"Multiscale":[3],"Anisotropic":[4],"Harmonic":[5],"Filters":[6],"(MAHFs)":[7],"aimed":[8],"at":[9],"extracting":[10],"signal":[11,127,145],"variations":[12],"over":[13],"non-Euclidean":[14],"domains,":[15],"namely":[16,85],"2D-Manifolds":[17],"and":[18,25,95,110,123,144],"their":[19],"discrete":[20],"representations,":[21],"such":[22],"as":[23,29,31,72],"meshes":[24],"3D":[26],"Point":[27],"Clouds":[28],"well":[30],"graphs.":[32],"The":[33],"topic":[34],"of":[35,56,75,104],"pattern":[36],"analysis":[37],"is":[38,62],"central":[39],"in":[40,48,107,135],"image":[41],"processing":[42],"and,":[43],"considered":[44],"the":[45,54,73,86,91,102,119],"growing":[46],"interest":[47],"new":[49],"domains":[50],"for":[51],"information":[52],"representation,":[53],"extension":[55],"analogous":[57],"practices":[58],"on":[59],"volumetric":[60],"data":[61],"highly":[63],"demanded.":[64],"To":[65],"accomplish":[66],"this":[67],"purpose,":[68],"we":[69,114],"define":[70],"MAHFs":[71],"product":[74],"two":[76],"components,":[77],"respectively":[78],"related":[79],"to":[80,96,118,124,129,133],"a":[81,125,130,136],"suitable":[82],"smoothing":[83],"function,":[84],"heat":[87,92],"kernel":[88],"derived":[89],"from":[90],"diffusion":[93],"equations,":[94],"local":[97],"directional":[98],"information.":[99],"We":[100],"analyse":[101],"accuracy":[103],"our":[105],"approach":[106],"multi-scale":[108],"filtering":[109],"variation":[111],"extraction.":[112],"Finally,":[113],"present":[115],"an":[116],"application":[117],"surface":[120],"normal":[121],"field":[122],"luminance":[126],"textured":[128],"mesh,":[131],"aiming":[132],"spot,":[134],"separate":[137],"fashion,":[138],"relevant":[139],"curvature":[140],"changes":[141],"(support":[142],"variations)":[143],"variations.":[146]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}