{"id":"https://openalex.org/W1993408904","doi":"https://doi.org/10.1002/scj.4690210406","title":"Polyhedra Identification Using the Orthonormal Constraints of Rotation Matrix","display_name":"Polyhedra Identification Using the Orthonormal Constraints of Rotation Matrix","publication_year":1990,"publication_date":"1990-01-01","ids":{"openalex":"https://openalex.org/W1993408904","doi":"https://doi.org/10.1002/scj.4690210406","mag":"1993408904"},"language":"en","primary_location":{"id":"doi:10.1002/scj.4690210406","is_oa":false,"landing_page_url":"https://doi.org/10.1002/scj.4690210406","pdf_url":null,"source":{"id":"https://openalex.org/S58208175","display_name":"Systems and Computers in Japan","issn_l":"0882-1666","issn":["0882-1666","1520-684X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Systems and Computers in Japan","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/A5109041924","display_name":"Hai Hong","orcid":null},"institutions":[{"id":"https://openalex.org/I156971308","display_name":"Hokkaido University of Education","ror":"https://ror.org/02gn38d51","country_code":"JP","type":"education","lineage":["https://openalex.org/I156971308"]},{"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":"Hai Hong","raw_affiliation_strings":["Faculty of Engineering, Hokkaido University, Sapporo, Japan 060","Hai Hong received a Ph.D. from Hokkaido University in 1989. He was at Hokkaido Universi- ty from 1984 to 1989. His current research interests include computer vision and image processing"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Hokkaido University, Sapporo, Japan 060","institution_ids":["https://openalex.org/I205349734"]},{"raw_affiliation_string":"Hai Hong received a Ph.D. from Hokkaido University in 1989. He was at Hokkaido Universi- ty from 1984 to 1989. His current research interests include computer vision and image processing","institution_ids":["https://openalex.org/I156971308"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010241873","display_name":"Toshlo Kawashima","orcid":null},"institutions":[{"id":"https://openalex.org/I156971308","display_name":"Hokkaido University of Education","ror":"https://ror.org/02gn38d51","country_code":"JP","type":"education","lineage":["https://openalex.org/I156971308"]},{"id":"https://openalex.org/I205349734","display_name":"Hokkaido University","ror":"https://ror.org/02e16g702","country_code":"JP","type":"education","lineage":["https://openalex.org/I205349734"]},{"id":"https://openalex.org/I4210150622","display_name":"National Institute of Technology, Tomakomai College","ror":"https://ror.org/0415ygs14","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210120810","https://openalex.org/I4210150622"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Toshlo Kawashima","raw_affiliation_strings":["Faculty of Engineering, Hokkaido University, Sapporo, Japan 060","Toshio Kawashima received the B.E. and M.E. degrees from Hokkaido University in 1980 and 1982, respectively; he became an Assistant at Tomakomai Technical College. He has been an Assistant at Hokkaido University since 1984. His research interest is robot sensors","Toshio Kawashima received the B.E. and M.E. degrees from Hokkaido University in 1980 and 1982, respectively","he became an Assistant at Tomakomai Technical College. He has been an Assistant at Hokkaido University since 1984. His research interest is robot sensors"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Hokkaido University, Sapporo, Japan 060","institution_ids":["https://openalex.org/I205349734"]},{"raw_affiliation_string":"Toshio Kawashima received the B.E. and M.E. degrees from Hokkaido University in 1980 and 1982, respectively; he became an Assistant at Tomakomai Technical College. He has been an Assistant at Hokkaido University since 1984. His research interest is robot sensors","institution_ids":["https://openalex.org/I156971308"]},{"raw_affiliation_string":"Toshio Kawashima received the B.E. and M.E. degrees from Hokkaido University in 1980 and 1982, respectively","institution_ids":["https://openalex.org/I205349734"]},{"raw_affiliation_string":"he became an Assistant at Tomakomai Technical College. He has been an Assistant at Hokkaido University since 1984. His research interest is robot sensors","institution_ids":["https://openalex.org/I4210150622"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046026372","display_name":"Tsuyoshi Yamamoto","orcid":"https://orcid.org/0000-0002-2804-5994"},"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"]},{"id":"https://openalex.org/I2252096349","display_name":"Fujitsu (Japan)","ror":"https://ror.org/038e2g226","country_code":"JP","type":"company","lineage":["https://openalex.org/I2252096349"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tsuyoshi Yamamoto","raw_affiliation_strings":["Faculty of Engineering, Hokkaido University, Sapporo, Japan 060","Tsuyoshi Yamamoto received the B.E., M.E. and Ph.D. degrees from Hokkaido University in 1976, 1978, and 1986, respectively. In 1978 he joined Fujitsu Limited, Kawasaki, and was a student in the graduate school at Hokkaido University from 1980 to 1982. He is currently an Assistant Professor at Hokkaido University. His research interests include digital signal processing and computer graphics and CAD"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Hokkaido University, Sapporo, Japan 060","institution_ids":["https://openalex.org/I205349734"]},{"raw_affiliation_string":"Tsuyoshi Yamamoto received the B.E., M.E. and Ph.D. degrees from Hokkaido University in 1976, 1978, and 1986, respectively. In 1978 he joined Fujitsu Limited, Kawasaki, and was a student in the graduate school at Hokkaido University from 1980 to 1982. He is currently an Assistant Professor at Hokkaido University. His research interests include digital signal processing and computer graphics and CAD","institution_ids":["https://openalex.org/I2252096349"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112306556","display_name":"Yoshinao Aoki","orcid":null},"institutions":[{"id":"https://openalex.org/I196972281","display_name":"Imec the Netherlands","ror":"https://ror.org/01ezq2j76","country_code":"NL","type":"facility","lineage":["https://openalex.org/I196972281"]},{"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","NL"],"is_corresponding":false,"raw_author_name":"Yoshinao Aoki","raw_affiliation_strings":["Faculty of Engineering, Hokkaido University, Sapporo, Japan 060","Yoshinao Aoki received the B.E., M.E. and Ph.D. degrees in 1964, 1966, and 1973, respec- tively. From 1967 to 1979 he was an Assistant Professor of Electronic Engineering at Hokkaido University. Since 1979 he has been a Professor of Electrical Engineering at the same Universi- ty. He has been engaged i n research on acoustical and microwave holography, digital signal processing, and microprocessor applications"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Hokkaido University, Sapporo, Japan 060","institution_ids":["https://openalex.org/I205349734"]},{"raw_affiliation_string":"Yoshinao Aoki received the B.E., M.E. and Ph.D. degrees in 1964, 1966, and 1973, respec- tively. From 1967 to 1979 he was an Assistant Professor of Electronic Engineering at Hokkaido University. Since 1979 he has been a Professor of Electrical Engineering at the same Universi- ty. He has been engaged i n research on acoustical and microwave holography, digital signal processing, and microprocessor applications","institution_ids":["https://openalex.org/I196972281"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.22709313,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"21","issue":"4","first_page":"55","last_page":"64"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12983","display_name":"Satellite Image Processing and Photogrammetry","score":0.984499990940094,"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"}},"topics":[{"id":"https://openalex.org/T12983","display_name":"Satellite Image Processing and Photogrammetry","score":0.984499990940094,"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/T10638","display_name":"Optical measurement and interference techniques","score":0.968500018119812,"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/T11211","display_name":"3D Surveying and Cultural Heritage","score":0.9613000154495239,"subfield":{"id":"https://openalex.org/subfields/1907","display_name":"Geology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/orthonormal-basis","display_name":"Orthonormal basis","score":0.7152491807937622},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6109243631362915},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5872400999069214},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5515614748001099},{"id":"https://openalex.org/keywords/orthonormality","display_name":"Orthonormality","score":0.5288779735565186},{"id":"https://openalex.org/keywords/rotation-matrix","display_name":"Rotation matrix","score":0.5263113975524902},{"id":"https://openalex.org/keywords/transformation-matrix","display_name":"Transformation matrix","score":0.5041097402572632},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4996631145477295},{"id":"https://openalex.org/keywords/orthogonal-matrix","display_name":"Orthogonal matrix","score":0.4993131160736084},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4707135558128357},{"id":"https://openalex.org/keywords/coordinate-system","display_name":"Coordinate system","score":0.45974355936050415},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.4390637278556824},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4259379506111145},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4162200093269348},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.41302186250686646},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36606043577194214},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2321774959564209},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21029871702194214},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.17121285200119019},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1384088099002838}],"concepts":[{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.7152491807937622},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6109243631362915},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5872400999069214},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5515614748001099},{"id":"https://openalex.org/C92951342","wikidata":"https://www.wikidata.org/wiki/Q1411166","display_name":"Orthonormality","level":3,"score":0.5288779735565186},{"id":"https://openalex.org/C83633838","wikidata":"https://www.wikidata.org/wiki/Q1256564","display_name":"Rotation matrix","level":2,"score":0.5263113975524902},{"id":"https://openalex.org/C165443888","wikidata":"https://www.wikidata.org/wiki/Q1482183","display_name":"Transformation matrix","level":3,"score":0.5041097402572632},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4996631145477295},{"id":"https://openalex.org/C44292817","wikidata":"https://www.wikidata.org/wiki/Q333871","display_name":"Orthogonal matrix","level":3,"score":0.4993131160736084},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4707135558128357},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.45974355936050415},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.4390637278556824},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4259379506111145},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4162200093269348},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.41302186250686646},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36606043577194214},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2321774959564209},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21029871702194214},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.17121285200119019},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1384088099002838},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.0},{"id":"https://openalex.org/C187064257","wikidata":"https://www.wikidata.org/wiki/Q3306808","display_name":"Orthogonal basis","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/scj.4690210406","is_oa":false,"landing_page_url":"https://doi.org/10.1002/scj.4690210406","pdf_url":null,"source":{"id":"https://openalex.org/S58208175","display_name":"Systems and Computers in Japan","issn_l":"0882-1666","issn":["0882-1666","1520-684X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Systems and Computers in Japan","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1587965106","https://openalex.org/W1976501698","https://openalex.org/W1996480554","https://openalex.org/W2008184174","https://openalex.org/W2058677768","https://openalex.org/W2065355195","https://openalex.org/W2085261163","https://openalex.org/W2109886076","https://openalex.org/W6635338699","https://openalex.org/W6665059101"],"related_works":["https://openalex.org/W2013801824","https://openalex.org/W1529452180","https://openalex.org/W1496788307","https://openalex.org/W2149054915","https://openalex.org/W1591253575","https://openalex.org/W3178433292","https://openalex.org/W4388391416","https://openalex.org/W2363331359","https://openalex.org/W1981917738","https://openalex.org/W2094694151"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"method":[2,15],"to":[3,46,93,110,119],"identify":[4],"polyhedric":[5],"objects":[6],"from":[7,19,41],"single":[8],"perspective":[9],"line":[10],"drawings":[11],"is":[12,85],"proposed.":[13],"The":[14],"searches":[16],"correct":[17,95],"associations":[18],"the":[20,35,38,42,47,52,60,71,75,82,87,112,126,129],"model":[21,43],"database":[22],"in":[23,100],"four":[24],"stages:":[25],"1)":[26],"topological":[27],"matching":[28],"of":[29,37,55,62,66,74,105,115,128],"vertex":[30],"and":[31,58,64,118],"edge":[32],"connection;":[33],"2)":[34,69],"computation":[36,117,121],"transformation":[39,56,106],"matrix":[40,76,107],"coordinate":[44,49],"system":[45],"camera":[48],"system;":[50],"3)":[51],"validity":[53,127],"test":[54],"matrix;":[57],"4)":[59],"determination":[61],"position":[63],"orientation":[65],"object.":[67],"Stage":[68],"computes":[70],"optimal":[72],"solution":[73,88,96],"using":[77],"nonlinear":[78],"optimization.":[79],"Thus,":[80],"if":[81],"initial":[83],"value":[84],"improper,":[86],"does":[89],"not":[90],"always":[91],"converge":[92],"a":[94],"as":[97],"pointed":[98],"out":[99],"previous":[101],"research.":[102],"Orthonormal":[103],"constraints":[104],"are":[108],"introduced":[109],"improve":[111],"convergence":[113],"property":[114],"numerical":[116],"reduce":[120],"cost.":[122],"Experimental":[123],"results":[124],"show":[125],"method.":[130]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
