{"id":"https://openalex.org/W2568663710","doi":"https://doi.org/10.1109/tip.2017.2651408","title":"Progressive Shape-Distribution-Encoder for Learning 3D Shape Representation","display_name":"Progressive Shape-Distribution-Encoder for Learning 3D Shape Representation","publication_year":2017,"publication_date":"2017-01-10","ids":{"openalex":"https://openalex.org/W2568663710","doi":"https://doi.org/10.1109/tip.2017.2651408","mag":"2568663710","pmid":"https://pubmed.ncbi.nlm.nih.gov/28092555"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2017.2651408","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2017.2651408","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"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 Image Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ueaeprints.uea.ac.uk/id/eprint/62128/1/shape_pl_1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089409762","display_name":"Jin Xie","orcid":"https://orcid.org/0000-0001-6978-8834"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jin Xie","raw_affiliation_strings":["Department of Electrical and Computer Engineering, New York University Tandon School of Engineering, USA","NYU Multimedia and Visual Computing Laboratory, New York University Abu Dhabi, UAE"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, New York University Tandon School of Engineering, USA","institution_ids":["https://openalex.org/I57206974"]},{"raw_affiliation_string":"NYU Multimedia and Visual Computing Laboratory, New York University Abu Dhabi, UAE","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101876547","display_name":"Fan Zhu","orcid":"https://orcid.org/0000-0002-2009-1152"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fan Zhu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, New York University Tandon School of Engineering, USA","NYU Multimedia and Visual Computing Laboratory, New York University Abu Dhabi, UAE"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, New York University Tandon School of Engineering, USA","institution_ids":["https://openalex.org/I57206974"]},{"raw_affiliation_string":"NYU Multimedia and Visual Computing Laboratory, New York University Abu Dhabi, UAE","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103543347","display_name":"Guoxian Dai","orcid":null},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Guoxian Dai","raw_affiliation_strings":["Department of Electrical and Computer Engineering, New York University Tandon School of Engineering, USA","NYU Multimedia and Visual Computing Laboratory, New York University Abu Dhabi, UAE"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, New York University Tandon School of Engineering, USA","institution_ids":["https://openalex.org/I57206974"]},{"raw_affiliation_string":"NYU Multimedia and Visual Computing Laboratory, New York University Abu Dhabi, UAE","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082634513","display_name":"Ling Shao","orcid":"https://orcid.org/0000-0002-8264-6117"},"institutions":[{"id":"https://openalex.org/I1118541","display_name":"University of East Anglia","ror":"https://ror.org/026k5mg93","country_code":"GB","type":"education","lineage":["https://openalex.org/I1118541"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ling Shao","raw_affiliation_strings":["School of Computing Sciences, University of East Anglia, Norwich, U.K"],"affiliations":[{"raw_affiliation_string":"School of Computing Sciences, University of East Anglia, Norwich, U.K","institution_ids":["https://openalex.org/I1118541"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110932318","display_name":"Yi Fang","orcid":null},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yi Fang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, New York University Tandon School of Engineering, USA","NYU Multimedia and Visual Computing Laboratory, New York University Abu Dhabi, UAE"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, New York University Tandon School of Engineering, USA","institution_ids":["https://openalex.org/I57206974"]},{"raw_affiliation_string":"NYU Multimedia and Visual Computing Laboratory, New York University Abu Dhabi, UAE","institution_ids":["https://openalex.org/I57206974"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5089409762"],"corresponding_institution_ids":["https://openalex.org/I57206974"],"apc_list":null,"apc_paid":null,"fwci":2.7275,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.89079185,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"26","issue":"3","first_page":"1231","last_page":"1242"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9991999864578247,"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":0.9991999864578247,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9932000041007996,"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/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9790999889373779,"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/artificial-intelligence","display_name":"Artificial intelligence","score":0.6838454008102417},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.6622437834739685},{"id":"https://openalex.org/keywords/heat-kernel-signature","display_name":"Heat kernel signature","score":0.6480786204338074},{"id":"https://openalex.org/keywords/shape-analysis","display_name":"Shape analysis (program analysis)","score":0.6400562524795532},{"id":"https://openalex.org/keywords/active-shape-model","display_name":"Active shape model","score":0.6094011068344116},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5451104640960693},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5274094343185425},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.5210534930229187},{"id":"https://openalex.org/keywords/feature-extraction","display_name":"Feature extraction","score":0.44934165477752686},{"id":"https://openalex.org/keywords/encoder","display_name":"Encoder","score":0.43510815501213074},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4236403703689575},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.41962194442749023},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3990377187728882},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.17408686876296997},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.13757458329200745}],"concepts":[{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6838454008102417},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.6622437834739685},{"id":"https://openalex.org/C45089102","wikidata":"https://www.wikidata.org/wiki/Q5693286","display_name":"Heat kernel signature","level":4,"score":0.6480786204338074},{"id":"https://openalex.org/C112604564","wikidata":"https://www.wikidata.org/wiki/Q7489226","display_name":"Shape analysis (program analysis)","level":3,"score":0.6400562524795532},{"id":"https://openalex.org/C129641003","wikidata":"https://www.wikidata.org/wiki/Q267189","display_name":"Active shape model","level":3,"score":0.6094011068344116},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5451104640960693},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5274094343185425},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.5210534930229187},{"id":"https://openalex.org/C52622490","wikidata":"https://www.wikidata.org/wiki/Q1026626","display_name":"Feature extraction","level":2,"score":0.44934165477752686},{"id":"https://openalex.org/C118505674","wikidata":"https://www.wikidata.org/wiki/Q42586063","display_name":"Encoder","level":2,"score":0.43510815501213074},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4236403703689575},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.41962194442749023},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3990377187728882},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.17408686876296997},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.13757458329200745},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C97686452","wikidata":"https://www.wikidata.org/wiki/Q7604153","display_name":"Static analysis","level":2,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tip.2017.2651408","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2017.2651408","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"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 Image Processing","raw_type":"journal-article"},{"id":"pmid:28092555","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/28092555","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on image processing : a publication of the IEEE Signal Processing Society","raw_type":null},{"id":"pmh:oai:ueaeprints.uea.ac.uk:62128","is_oa":true,"landing_page_url":null,"pdf_url":"https://ueaeprints.uea.ac.uk/id/eprint/62128/1/shape_pl_1.pdf","source":{"id":"https://openalex.org/S4306400384","display_name":"UEA Digital Repository (University of East Anglia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1118541","host_organization_name":"University of East Anglia","host_organization_lineage":["https://openalex.org/I1118541"],"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":"PeerReviewed"}],"best_oa_location":{"id":"pmh:oai:ueaeprints.uea.ac.uk:62128","is_oa":true,"landing_page_url":null,"pdf_url":"https://ueaeprints.uea.ac.uk/id/eprint/62128/1/shape_pl_1.pdf","source":{"id":"https://openalex.org/S4306400384","display_name":"UEA Digital Repository (University of East Anglia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1118541","host_organization_name":"University of East Anglia","host_organization_lineage":["https://openalex.org/I1118541"],"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":"PeerReviewed"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6679107629","display_name":null,"funder_award_id":"REF131","funder_id":"https://openalex.org/F4320313203","funder_display_name":"New York University Abu Dhabi"},{"id":"https://openalex.org/G6744158326","display_name":null,"funder_award_id":"AD131","funder_id":"https://openalex.org/F4320313203","funder_display_name":"New York University Abu Dhabi"}],"funders":[{"id":"https://openalex.org/F4320313203","display_name":"New York University Abu Dhabi","ror":"https://ror.org/00e5k0821"},{"id":"https://openalex.org/F4320319918","display_name":"York University","ror":"https://ror.org/05fq50484"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2568663710.pdf","grobid_xml":"https://content.openalex.org/works/W2568663710.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W191365292","https://openalex.org/W1596547119","https://openalex.org/W1757705478","https://openalex.org/W1922697897","https://openalex.org/W1964601719","https://openalex.org/W1977213563","https://openalex.org/W1982465050","https://openalex.org/W1983705526","https://openalex.org/W1984159596","https://openalex.org/W2007206727","https://openalex.org/W2021122545","https://openalex.org/W2028248716","https://openalex.org/W2034105264","https://openalex.org/W2036163530","https://openalex.org/W2059917035","https://openalex.org/W2072128103","https://openalex.org/W2074781138","https://openalex.org/W2084286148","https://openalex.org/W2091791686","https://openalex.org/W2100495367","https://openalex.org/W2100657858","https://openalex.org/W2100740942","https://openalex.org/W2101025736","https://openalex.org/W2108158822","https://openalex.org/W2108444897","https://openalex.org/W2120514892","https://openalex.org/W2129905273","https://openalex.org/W2130646036","https://openalex.org/W2142873256","https://openalex.org/W2145094598","https://openalex.org/W2151103935","https://openalex.org/W2151777830","https://openalex.org/W2152451381","https://openalex.org/W2161969291","https://openalex.org/W2264575668","https://openalex.org/W2334684970","https://openalex.org/W2997574889","https://openalex.org/W4231109964","https://openalex.org/W4240981432","https://openalex.org/W6635776967","https://openalex.org/W6637720468","https://openalex.org/W6640129119","https://openalex.org/W6676070449","https://openalex.org/W6676079856","https://openalex.org/W6681096077"],"related_works":["https://openalex.org/W2212089300","https://openalex.org/W2113610384","https://openalex.org/W2002305436","https://openalex.org/W3175832648","https://openalex.org/W2171392623","https://openalex.org/W2736624805","https://openalex.org/W13786964","https://openalex.org/W2164307460","https://openalex.org/W2046777610","https://openalex.org/W3137963709"],"abstract_inverted_index":{"Since":[0],"there":[1],"are":[2],"complex":[3,90],"geometric":[4,220],"variations":[5],"with":[6,55,218],"3D":[7,11,67,110,214],"shapes,":[8],"extracting":[9],"efficient":[10],"shape":[12,22,33,37,52,76,96,142,168,215],"features":[13],"is":[14,185,201,209],"one":[15],"of":[16,66,93,109,133,155,179,196,238],"the":[17,56,62,83,89,94,106,129,134,153,174,182,191,232,236,239,243],"most":[18],"challenging":[19],"tasks":[20],"in":[21,128],"matching":[23],"and":[24,190,226,231],"retrieval.":[25,145],"In":[26,102],"this":[27],"paper,":[28],"we":[29,49,70,114,124,159],"propose":[30,71,160],"a":[31,44,51,74,120,161,166,177,194],"deep":[32,75],"descriptor":[34,143],"by":[35,147],"learning":[36],"distributions":[38,97],"at":[39,87],"different":[40,199],"diffusion":[41,100],"time":[42],"via":[43],"progressive":[45],"shape-distribution-encoder":[46],"(PSDE).":[47],"First,":[48],"develop":[50],"distribution":[53],"representation":[54],"kernel":[57],"density":[58],"estimator":[59],"to":[60,72,104,118,138,164,242],"characterize":[61,105],"intrinsic":[63,107],"geometry":[64],"structures":[65,108],"shapes.":[68],"Then,":[69],"learn":[73],"feature":[77],"through":[78],"an":[79,140,149],"unsupervised":[80,84,135,141],"PSDE.":[81],"Specially,":[82],"PSDE":[85,136,163],"aims":[86],"modeling":[88],"non-linear":[91],"transform":[92],"estimated":[95],"between":[98,176,193],"consecutive":[99],"time.":[101],"order":[103],"shapes":[111],"more":[112],"efficiently,":[113],"stack":[115],"multiple":[116],"PSDEs":[117],"form":[119,139,165],"network":[121,137],"structure.":[122],"Finally,":[123],"concatenate":[125],"all":[126,156],"neurons":[127],"middle":[130],"hidden":[131,157,172],"layers":[132],"for":[144],"Furthermore,":[146],"imposing":[148],"additional":[150],"constraint":[151],"on":[152,211],"outputs":[154,180,197],"layers,":[158],"supervised":[162,167],"descriptor.":[169],"For":[170],"each":[171],"layer,":[173],"similarity":[175,192],"pair":[178,195],"from":[181,198],"same":[183],"class":[184],"as":[186,188,202,204],"large":[187,219],"possible":[189],"classes":[200],"small":[203],"possible.":[205],"The":[206],"proposed":[207,240],"method":[208,241],"evaluated":[210],"three":[212],"benchmark":[213],"data":[216,229],"sets":[217],"variations,":[221],"i.e.,":[222],"McGill,":[223],"SHREC'10":[224],"ShapeGoogle,":[225],"SHREC'14":[227],"Human":[228],"sets,":[230],"experimental":[233],"results":[234],"demonstrate":[235],"superiority":[237],"existing":[244],"approaches.":[245]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5}],"updated_date":"2026-04-03T22:45:19.894376","created_date":"2025-10-10T00:00:00"}