{"id":"https://openalex.org/W2246430671","doi":"https://doi.org/10.1109/dicta.2015.7371247","title":"Closed-Form Solutions for Low-Rank Non-Rigid Reconstruction","display_name":"Closed-Form Solutions for Low-Rank Non-Rigid Reconstruction","publication_year":2015,"publication_date":"2015-11-01","ids":{"openalex":"https://openalex.org/W2246430671","doi":"https://doi.org/10.1109/dicta.2015.7371247","mag":"2246430671"},"language":"en","primary_location":{"id":"doi:10.1109/dicta.2015.7371247","is_oa":false,"landing_page_url":"https://doi.org/10.1109/dicta.2015.7371247","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 International Conference on Digital Image Computing: Techniques and Applications (DICTA)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://eprints.qut.edu.au/90804/1/paper.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018478116","display_name":"Jack Valmadre","orcid":"https://orcid.org/0000-0003-1004-2784"},"institutions":[{"id":"https://openalex.org/I1292875679","display_name":"Commonwealth Scientific and Industrial Research Organisation","ror":"https://ror.org/03qn8fb07","country_code":"AU","type":"government","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I4387156119"]},{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Jack Valmadre","raw_affiliation_strings":["CSIRO, Australia","Image and Video Laboratory, Queensland University of Technology (QUT), Brisbane, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CSIRO, Australia","institution_ids":["https://openalex.org/I1292875679"]},{"raw_affiliation_string":"Image and Video Laboratory, Queensland University of Technology (QUT), Brisbane, Australia","institution_ids":["https://openalex.org/I160993911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055128383","display_name":"Sridha Sridharan","orcid":"https://orcid.org/0000-0003-4316-9001"},"institutions":[{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Sridha Sridharan","raw_affiliation_strings":["Image and Video Laboratory, Queensland University of Technology (QUT), Brisbane, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Image and Video Laboratory, Queensland University of Technology (QUT), Brisbane, Australia","institution_ids":["https://openalex.org/I160993911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083626840","display_name":"Simon Denman","orcid":"https://orcid.org/0000-0002-0983-5480"},"institutions":[{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Simon Denman","raw_affiliation_strings":["Image and Video Laboratory, Queensland University of Technology (QUT), Brisbane, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Image and Video Laboratory, Queensland University of Technology (QUT), Brisbane, Australia","institution_ids":["https://openalex.org/I160993911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034095159","display_name":"Clinton Fookes","orcid":"https://orcid.org/0000-0002-8515-6324"},"institutions":[{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Clinton Fookes","raw_affiliation_strings":["Image and Video Laboratory, Queensland University of Technology (QUT), Brisbane, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Image and Video Laboratory, Queensland University of Technology (QUT), Brisbane, Australia","institution_ids":["https://openalex.org/I160993911"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055053078","display_name":"Simon Lucey","orcid":"https://orcid.org/0000-0002-6326-042X"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Simon Lucey","raw_affiliation_strings":["Carnegie Mellon University, Pittsburgh, PA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.15557558,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":1.0,"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":1.0,"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/T10638","display_name":"Optical measurement and interference techniques","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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9991000294685364,"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/heuristics","display_name":"Heuristics","score":0.6394742131233215},{"id":"https://openalex.org/keywords/structure-from-motion","display_name":"Structure from motion","score":0.5933182239532471},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5786886215209961},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.549351155757904},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.5252479910850525},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4859291613101959},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4806312620639801},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4756859540939331},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4322417378425598},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4031020998954773},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.35661908984184265},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3403920531272888},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3079107403755188},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15231451392173767},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09948581457138062}],"concepts":[{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.6394742131233215},{"id":"https://openalex.org/C146159030","wikidata":"https://www.wikidata.org/wiki/Q7625099","display_name":"Structure from motion","level":3,"score":0.5933182239532471},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5786886215209961},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.549351155757904},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.5252479910850525},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4859291613101959},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4806312620639801},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4756859540939331},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4322417378425598},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4031020998954773},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.35661908984184265},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3403920531272888},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3079107403755188},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15231451392173767},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09948581457138062},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/dicta.2015.7371247","is_oa":false,"landing_page_url":"https://doi.org/10.1109/dicta.2015.7371247","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 International Conference on Digital Image Computing: Techniques and Applications (DICTA)","raw_type":"proceedings-article"},{"id":"pmh:oai:eprints.qut.edu.au:90804","is_oa":true,"landing_page_url":"http://purl.org/au-research/grants/arc/DP140100793","pdf_url":"https://eprints.qut.edu.au/90804/1/paper.pdf","source":{"id":"https://openalex.org/S4306402607","display_name":"QUT ePrints (Queensland University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I160993911","host_organization_name":"Queensland University of Technology","host_organization_lineage":["https://openalex.org/I160993911"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the 2015 International Conference on Digital Image Computing: Techniques and Applications (DICTA)","raw_type":"Chapter in Book, Report or Conference volume"}],"best_oa_location":{"id":"pmh:oai:eprints.qut.edu.au:90804","is_oa":true,"landing_page_url":"http://purl.org/au-research/grants/arc/DP140100793","pdf_url":"https://eprints.qut.edu.au/90804/1/paper.pdf","source":{"id":"https://openalex.org/S4306402607","display_name":"QUT ePrints (Queensland University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I160993911","host_organization_name":"Queensland University of Technology","host_organization_lineage":["https://openalex.org/I160993911"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the 2015 International Conference on Digital Image Computing: Techniques and Applications (DICTA)","raw_type":"Chapter in Book, Report or Conference volume"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.44999998807907104}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2246430671.pdf","grobid_xml":"https://content.openalex.org/works/W2246430671.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1961807232","https://openalex.org/W1965581703","https://openalex.org/W1997201895","https://openalex.org/W2103749626","https://openalex.org/W2121299550","https://openalex.org/W2121825258","https://openalex.org/W2124600577","https://openalex.org/W2125954773","https://openalex.org/W2138816964","https://openalex.org/W2138835141","https://openalex.org/W2139914781","https://openalex.org/W2146020220","https://openalex.org/W2151812852","https://openalex.org/W4239400817","https://openalex.org/W6649132743","https://openalex.org/W6649529986","https://openalex.org/W6680369585"],"related_works":["https://openalex.org/W2280422768","https://openalex.org/W3143197806","https://openalex.org/W4252555497","https://openalex.org/W3121175838","https://openalex.org/W3016293053","https://openalex.org/W1690653314","https://openalex.org/W2401723157","https://openalex.org/W2065055572","https://openalex.org/W3014540454","https://openalex.org/W964638260"],"abstract_inverted_index":{"Recovering":[0],"the":[1,14,23,34,45,57,75,101,104,120,155,178,193,211],"motion":[2,32],"of":[3,10,16,25,49,88,117,196],"a":[4,8,51,82,86,114,131,222,227],"non-rigid":[5,187],"body":[6],"from":[7,31,44,62,177],"set":[9,116],"monocular":[11],"images":[12],"permits":[13],"analysis":[15],"dynamic":[17],"scenes":[18],"in":[19,158],"uncontrolled":[20],"environments.":[21],"However,":[22,160],"extension":[24],"factorisation":[26],"algorithms":[27],"for":[28,186],"rigid":[29,37],"structure":[30,60,188],"to":[33,74,77,81,112,134,139,148,153,175,192,203,221],"low-rank":[35,179],"non-":[36,106],"case":[38],"has":[39,125],"proved":[40],"challenging.":[41],"This":[42],"stems":[43],"comparatively":[46],"hard":[47],"problem":[48,136],"finding":[50,130],"linear":[52],"``corrective":[53],"transform''":[54],"which":[55,200],"recovers":[56],"projection":[58],"and":[59,170],"matrices":[61],"an":[63,167],"ambiguous":[64],"factorisation.":[65],"We":[66,181,208],"elucidate":[67],"that":[68,129,144,163,213],"this":[69,93,135,150],"greater":[70],"difficulty":[71],"is":[72,137,146,171],"due":[73],"need":[76],"find":[78,154,202],"multiple":[79],"solutions":[80],"non-trivial":[83],"problem,":[84],"casting":[85],"number":[87],"previous":[89],"approaches":[90],"as":[91,226],"alleviating":[92],"issue":[94],"by":[95],"either":[96],"a)":[97],"introducing":[98],"constraints":[99],"on":[100],"basis,":[102],"making":[103,119],"problems":[105,121],"identical,":[107],"or":[108],"b)":[109],"incorporating":[110],"heuristics":[111],"encourage":[113],"diverse":[115],"solutions,":[118],"inter-dependent.":[122],"While":[123],"it":[124,145],"previously":[126],"been":[127],"recognised":[128],"single":[132],"solution":[133,152,185,195],"sufficient":[138],"estimate":[140],"cameras,":[141],"we":[142,161,201],"show":[143],"possible":[147],"bootstrap":[149],"partial":[151],"complete":[156],"transform":[157],"closed-form.":[159],"acknowledge":[162],"our":[164,183],"method":[165],"minimises":[166],"algebraic":[168],"error":[169,216],"thus":[172],"inherently":[173],"sensitive":[174],"deviation":[176],"model.":[180],"compare":[182],"closed-form":[184,194],"with":[189],"known":[190],"cameras":[191],"Dai":[197],"et":[198],"al.~\\cite{Dai2012},":[199],"produce":[204],"only":[205],"coplanar":[206],"reconstructions.":[207],"therefore":[209],"make":[210],"recommendation":[212],"3D":[214],"reconstruction":[215,224],"always":[217],"be":[218],"measured":[219],"relative":[220],"trivial":[223],"such":[225],"planar":[228],"one.":[229]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
