{"id":"https://openalex.org/W2098793842","doi":"https://doi.org/10.1109/icme.2007.4284693","title":"Gaussian Representation for 3D Point Based Head Model Classification Based on Generalized Minimax Algorithm","display_name":"Gaussian Representation for 3D Point Based Head Model Classification Based on Generalized Minimax Algorithm","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W2098793842","doi":"https://doi.org/10.1109/icme.2007.4284693","mag":"2098793842"},"language":"en","primary_location":{"id":"doi:10.1109/icme.2007.4284693","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icme.2007.4284693","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multimedia and Expo, 2007 IEEE International Conference on","raw_type":"proceedings-article"},"type":"conference-paper","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/A5100701158","display_name":"Zhiwen Yu","orcid":"https://orcid.org/0000-0002-0935-5890"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Zhiwen Yu","raw_affiliation_strings":["Department of Computer Science, City University of Hong Kong, Hong Kong, China","City Univ. of Hong Kong, , Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, City University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"City Univ. of Hong Kong, , Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014196059","display_name":"Hau\u2212San Wong","orcid":"https://orcid.org/0000-0002-1530-7529"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Hau-San Wong","raw_affiliation_strings":["Department of Computer Science, City University of Hong Kong, Hong Kong, China","City Univ. of Hong Kong, , Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, City University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"City Univ. of Hong Kong, , Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078844872","display_name":"Jiqi Zhang","orcid":"https://orcid.org/0000-0002-8494-6797"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Jiqi Zhang","raw_affiliation_strings":["Department of Computer Science, City University of Hong Kong, Hong Kong, China","City Univ. of Hong Kong, , Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, City University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"City Univ. of Hong Kong, , Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I168719708"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"488","last_page":"491"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9983000159263611,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9983000159263611,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9950000047683716,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9939000010490417,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.7204535603523254},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.6251922845840454},{"id":"https://openalex.org/keywords/mahalanobis-distance","display_name":"Mahalanobis distance","score":0.5804914236068726},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5670117735862732},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5642516016960144},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.48583123087882996},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47478339076042175},{"id":"https://openalex.org/keywords/head","display_name":"Head (geology)","score":0.4721122980117798},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.46035975217819214},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.45566362142562866},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.450702428817749},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4433354139328003},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.4399280548095703},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.393161803483963},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.37322887778282166},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.11757874488830566},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0878959596157074},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08668255805969238}],"concepts":[{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.7204535603523254},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.6251922845840454},{"id":"https://openalex.org/C1921717","wikidata":"https://www.wikidata.org/wiki/Q1334846","display_name":"Mahalanobis distance","level":2,"score":0.5804914236068726},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5670117735862732},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5642516016960144},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.48583123087882996},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47478339076042175},{"id":"https://openalex.org/C2780312720","wikidata":"https://www.wikidata.org/wiki/Q5689100","display_name":"Head (geology)","level":2,"score":0.4721122980117798},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.46035975217819214},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.45566362142562866},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.450702428817749},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4433354139328003},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.4399280548095703},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.393161803483963},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37322887778282166},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.11757874488830566},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0878959596157074},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08668255805969238},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","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/C114793014","wikidata":"https://www.wikidata.org/wiki/Q52109","display_name":"Geomorphology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icme.2007.4284693","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icme.2007.4284693","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multimedia and Expo, 2007 IEEE International Conference on","raw_type":"proceedings-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/W639801547","https://openalex.org/W1969543955","https://openalex.org/W1972839404","https://openalex.org/W2087683099","https://openalex.org/W2121947440","https://openalex.org/W2148843387","https://openalex.org/W2158275091","https://openalex.org/W2172124895","https://openalex.org/W4238890985","https://openalex.org/W4255064352"],"related_works":["https://openalex.org/W4382795578","https://openalex.org/W2355463328","https://openalex.org/W2402648945","https://openalex.org/W1431147547","https://openalex.org/W2771741613","https://openalex.org/W2055761197","https://openalex.org/W2053213469","https://openalex.org/W2057608111","https://openalex.org/W2793032185","https://openalex.org/W2246576932"],"abstract_inverted_index":{"3D":[0,33,61,131],"point":[1,34,132],"based":[2,35,133],"head":[3,36,40,62,116,134],"model":[4,37,41,135],"classification":[5],"gains":[6],"more":[7,9],"and":[8,21],"attention":[10],"due":[11],"to":[12,31,66,104,114],"its":[13],"useful":[14],"application":[15],"in":[16],"mechanical":[17],"engineering,":[18],"computer":[19],"vision":[20],"biology.":[22],"In":[23,64],"this":[24],"paper,":[25],"we":[26,74],"propose":[27,75],"a":[28,45,88],"new":[29,123],"approach":[30,124],"perform":[32],"classification.":[38,136],"Each":[39],"is":[42,55,102],"represented":[43],"by":[44],"Gaussian":[46,72,110],"distribution":[47],"with":[48,95,112],"the":[49,56,68,71,76,106,122,128],"constrained":[50,53],"boundary.":[51],"The":[52,80,99,118],"boundary":[54],"minimal":[57],"enclosing":[58],"ellipsoid":[59],"of":[60,70,90,130],"model.":[63],"order":[65],"estimate":[67],"parameter":[69,85],"distribution,":[73],"generalized":[77,81],"minimax":[78,82,97],"algorithm.":[79,98],"algorithm":[83],"for":[84],"estimation":[86],"saves":[87],"lot":[89],"computational":[91],"cost":[92],"when":[93],"comparing":[94],"traditional":[96],"Mahalanobis":[100],"distance":[101],"applied":[103],"measure":[105],"similarity":[107],"between":[108],"two":[109,115],"distributions":[111],"respect":[113],"models.":[117],"experiments":[119],"show":[120],"that":[121],"works":[125],"well":[126],"during":[127],"process":[129]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}