{"id":"https://openalex.org/W1965094443","doi":"https://doi.org/10.1109/grc.2011.6122669","title":"Performance improvement of metric reconstruction based on partial joint diagonalization","display_name":"Performance improvement of metric reconstruction based on partial joint diagonalization","publication_year":2011,"publication_date":"2011-11-01","ids":{"openalex":"https://openalex.org/W1965094443","doi":"https://doi.org/10.1109/grc.2011.6122669","mag":"1965094443"},"language":"en","primary_location":{"id":"doi:10.1109/grc.2011.6122669","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2011.6122669","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Granular Computing","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/A5031907488","display_name":"Atsushi Takizawa","orcid":"https://orcid.org/0000-0001-6474-6985"},"institutions":[{"id":"https://openalex.org/I205349734","display_name":"Hokkaido University","ror":"https://ror.org/02e16g702","country_code":"JP","type":"education","lineage":["https://openalex.org/I205349734"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Atsushi Takizawa","raw_affiliation_strings":["Division of Computer Science, Graduate School of Information Science and Technology, Hokkaido University, Sapporo, Japan","Division of Computer Science, Graduate School of Information Science and Technology, Hokkaido University, Sapporo 060-0814, Japan"],"affiliations":[{"raw_affiliation_string":"Division of Computer Science, Graduate School of Information Science and Technology, Hokkaido University, Sapporo, Japan","institution_ids":["https://openalex.org/I205349734"]},{"raw_affiliation_string":"Division of Computer Science, Graduate School of Information Science and Technology, Hokkaido University, Sapporo 060-0814, Japan","institution_ids":["https://openalex.org/I205349734"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105269463","display_name":"Akira Tanaka","orcid":"https://orcid.org/0000-0003-0055-8234"},"institutions":[{"id":"https://openalex.org/I205349734","display_name":"Hokkaido University","ror":"https://ror.org/02e16g702","country_code":"JP","type":"education","lineage":["https://openalex.org/I205349734"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Akira Tanaka","raw_affiliation_strings":["Division of Computer Science, Graduate School of Information Science and Technology, Hokkaido University, Sapporo, Japan","Division of Computer Science, Graduate School of Information Science and Technology, Hokkaido University, Sapporo 060-0814, Japan"],"affiliations":[{"raw_affiliation_string":"Division of Computer Science, Graduate School of Information Science and Technology, Hokkaido University, Sapporo, Japan","institution_ids":["https://openalex.org/I205349734"]},{"raw_affiliation_string":"Division of Computer Science, Graduate School of Information Science and Technology, Hokkaido University, Sapporo 060-0814, Japan","institution_ids":["https://openalex.org/I205349734"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060354017","display_name":"Masaaki Miyakoshi","orcid":null},"institutions":[{"id":"https://openalex.org/I205349734","display_name":"Hokkaido University","ror":"https://ror.org/02e16g702","country_code":"JP","type":"education","lineage":["https://openalex.org/I205349734"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masaaki Miyakoshi","raw_affiliation_strings":["Division of Computer Science, Graduate School of Information Science and Technology, Hokkaido University, Sapporo, Japan","Division of Computer Science, Graduate School of Information Science and Technology, Hokkaido University, Sapporo 060-0814, Japan"],"affiliations":[{"raw_affiliation_string":"Division of Computer Science, Graduate School of Information Science and Technology, Hokkaido University, Sapporo, Japan","institution_ids":["https://openalex.org/I205349734"]},{"raw_affiliation_string":"Division of Computer Science, Graduate School of Information Science and Technology, Hokkaido University, Sapporo 060-0814, Japan","institution_ids":["https://openalex.org/I205349734"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5031907488"],"corresponding_institution_ids":["https://openalex.org/I205349734"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04904253,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2005","issue":null,"first_page":"625","last_page":"629"},"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":0.9991999864578247,"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/T13114","display_name":"Image Processing Techniques and Applications","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/quadric","display_name":"Quadric","score":0.8067274689674377},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.7328518033027649},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6986216902732849},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.5565848350524902},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5419143438339233},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.46912074089050293},{"id":"https://openalex.org/keywords/calibration","display_name":"Calibration","score":0.4377094507217407},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4257327616214752},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.4188064932823181},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4029800295829773},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3967438340187073},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.396708220243454},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.39304280281066895},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.142157644033432},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08730372786521912}],"concepts":[{"id":"https://openalex.org/C2779219049","wikidata":"https://www.wikidata.org/wiki/Q852117","display_name":"Quadric","level":2,"score":0.8067274689674377},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.7328518033027649},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6986216902732849},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.5565848350524902},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5419143438339233},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.46912074089050293},{"id":"https://openalex.org/C165838908","wikidata":"https://www.wikidata.org/wiki/Q736777","display_name":"Calibration","level":2,"score":0.4377094507217407},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4257327616214752},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.4188064932823181},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4029800295829773},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3967438340187073},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.396708220243454},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.39304280281066895},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.142157644033432},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08730372786521912},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/grc.2011.6122669","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2011.6122669","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Granular Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.7699999809265137,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W94263065","https://openalex.org/W1489405158","https://openalex.org/W1992989752","https://openalex.org/W1993982396","https://openalex.org/W2035708787","https://openalex.org/W2138835141","https://openalex.org/W2162431598","https://openalex.org/W2571491225","https://openalex.org/W2614881104","https://openalex.org/W3158977912","https://openalex.org/W4302078450","https://openalex.org/W6982450716"],"related_works":["https://openalex.org/W2384882317","https://openalex.org/W2037264771","https://openalex.org/W2072899396","https://openalex.org/W1982642009","https://openalex.org/W2327777938","https://openalex.org/W1660957572","https://openalex.org/W2950567443","https://openalex.org/W2071133048","https://openalex.org/W2383935056","https://openalex.org/W2042243750"],"abstract_inverted_index":{"Self-calibration":[0,21],"is":[1,28,34,60],"one":[2,39],"of":[3,9,23,99,104,114],"powerful":[4],"tools":[5],"in":[6],"the":[7,32,64,68,74,112,115],"field":[8],"computer":[10,105],"vision":[11],"such":[12,77],"as":[13,78],"3-D":[14,80],"shape":[15],"reconstruction":[16,30,93],"and":[17,31],"camera":[18],"motion":[19],"reconstruction.":[20,36],"consists":[22],"two":[24],"main":[25],"parts.":[26],"One":[27],"projective":[29],"other":[33],"metric":[35,92],"The":[37],"latter":[38],"can":[40],"be":[41],"reduced":[42],"to":[43,46,62,110],"a":[44,48,88,95],"problem":[45,65],"find":[47],"matrix":[49],"that":[50],"satisfies":[51],"some":[52],"absolute":[53],"dual":[54],"quadric":[55],"(ADQ)":[56],"constraint.":[57],"However,":[58],"it":[59],"difficult":[61],"formulate":[63],"with":[66],"considering":[67],"constraint":[69],"strictly,":[70],"which":[71],"may":[72],"make":[73],"final":[75],"result":[76],"reconstructed":[79],"shapes":[81],"unstable.":[82],"In":[83],"this":[84],"paper,":[85],"we":[86],"propose":[87],"novel":[89],"method":[90],"for":[91],"incorporating":[94],"partial":[96],"joint":[97],"diagonalization":[98],"symmetric":[100],"matrices.":[101],"Some":[102],"results":[103],"simulations":[106],"are":[107],"also":[108],"given":[109],"verify":[111],"efficacy":[113],"proposed":[116],"method.":[117]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}