{"id":"https://openalex.org/W2145014871","doi":"https://doi.org/10.1109/dicta.2009.64","title":"Smooth Approximation of L_infinity-Norm for Multi-view Geometry","display_name":"Smooth Approximation of L_infinity-Norm for Multi-view Geometry","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2145014871","doi":"https://doi.org/10.1109/dicta.2009.64","mag":"2145014871"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/dicta.2009.64","pdf_url":null,"source":{"id":"https://openalex.org/S4306418200","display_name":"Digital Image Computing: Techniques and Applications","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-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/A5036202579","display_name":"Yuchao Dai","orcid":"https://orcid.org/0000-0002-4432-7406"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]},{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU","CN"],"is_corresponding":false,"raw_author_name":"Yuchao Dai","raw_affiliation_strings":["Australian National University, Australia","School of Electronics and Information, Shaanxi Key Laboratory of Information Acquisition and Processing, Northwestern Polytechnical University, China"],"affiliations":[{"raw_affiliation_string":"School of Electronics and Information, Shaanxi Key Laboratory of Information Acquisition and Processing, Northwestern Polytechnical University, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Australian National University, Australia","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101819059","display_name":"Hongdong Li","orcid":"https://orcid.org/0000-0002-5555-935X"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]},{"id":"https://openalex.org/I42894916","display_name":"Data61","ror":"https://ror.org/03q397159","country_code":"AU","type":"other","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I42894916","https://openalex.org/I4387156119"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Hongdong Li","raw_affiliation_strings":["Australian National University, Australia","Canberra Research Laboratory, NICTA, Australia"],"affiliations":[{"raw_affiliation_string":"Australian National University, Australia","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"Canberra Research Laboratory, NICTA, Australia","institution_ids":["https://openalex.org/I42894916"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086729425","display_name":"Mingyi He","orcid":"https://orcid.org/0000-0003-2051-6955"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mingyi He","raw_affiliation_strings":["School of Electronics and Information, Shaanxi Key Laboratory of Information Acquisition and Processing, Northwestern Polytechnical University, China"],"affiliations":[{"raw_affiliation_string":"School of Electronics and Information, Shaanxi Key Laboratory of Information Acquisition and Processing, Northwestern Polytechnical University, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006294869","display_name":"Chunhua Shen","orcid":"https://orcid.org/0000-0002-8648-8718"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]},{"id":"https://openalex.org/I42894916","display_name":"Data61","ror":"https://ror.org/03q397159","country_code":"AU","type":"other","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I42894916","https://openalex.org/I4387156119"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Chunhua Shen","raw_affiliation_strings":["Australian National University, Australia","Canberra Research Laboratory, NICTA, Australia"],"affiliations":[{"raw_affiliation_string":"Australian National University, Australia","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"Canberra Research Laboratory, NICTA, Australia","institution_ids":["https://openalex.org/I42894916"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.753,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":4,"citation_normalized_percentile":{"value":0.637387,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":77,"max":79},"biblio":{"volume":null,"issue":null,"first_page":"339","last_page":"346"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9995,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9995,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9981,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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":0.9959,"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/infinity","display_name":"Infinity","score":0.54496694},{"id":"https://openalex.org/keywords/uniform-norm","display_name":"Uniform norm","score":0.43669853}],"concepts":[{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.54496694},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.53024006},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.51405346},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45736393},{"id":"https://openalex.org/C146324458","wikidata":"https://www.wikidata.org/wiki/Q1202673","display_name":"Uniform norm","level":2,"score":0.43669853},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34800524},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.055227876},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/dicta.2009.64","pdf_url":null,"source":{"id":"https://openalex.org/S4306418200","display_name":"Digital Image Computing: Techniques and Applications","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":15,"referenced_works":["https://openalex.org/W1764434803","https://openalex.org/W2035549220","https://openalex.org/W2041708912","https://openalex.org/W2043995994","https://openalex.org/W2069770680","https://openalex.org/W2098485631","https://openalex.org/W2098890714","https://openalex.org/W2100068253","https://openalex.org/W2124602368","https://openalex.org/W2131081048","https://openalex.org/W2139915145","https://openalex.org/W2156598602","https://openalex.org/W2161220183","https://openalex.org/W4250589301","https://openalex.org/W4256017923"],"related_works":["https://openalex.org/W4221162639","https://openalex.org/W3153085710","https://openalex.org/W3097726068","https://openalex.org/W3015628922","https://openalex.org/W3001680846","https://openalex.org/W2522638177","https://openalex.org/W2365662369","https://openalex.org/W2089003879","https://openalex.org/W1990315346","https://openalex.org/W1503108803"],"abstract_inverted_index":{"Recently":[0],"the":[1,56,62,72,84,101,112],"$L_\\infty$-norm":[2,44],"optimization":[3,45],"has":[4],"been":[5],"introduced":[6],"to":[7,10,70,82],"multi-view":[8,47],"geometry":[9,48],"achieve":[11],"global":[12],"optimality.":[13],"It":[14],"is":[15,59],"solved":[16],"through":[17],"solving":[18],"a":[19],"sequence":[20,97],"of":[21,43,64,87],"SOCP":[22],"(second":[23],"order":[24],"cone":[25],"programming)":[26],"feasibility":[27],"problems":[28],"which":[29],"needs":[30],"sophisticated":[31],"solvers":[32],"and":[33,94,107],"time":[34],"consuming.":[35],"This":[36,67],"paper":[37],"presents":[38],"an":[39],"efficient":[40],"smooth":[41],"approximation":[42,58],"in":[46],"using":[49,74],"log-sum-exp":[50],"functions.":[51],"We":[52],"have":[53,98],"proven":[54],"that":[55,100],"proposed":[57,102],"pseudo-convex":[60],"with":[61],"property":[63,86],"uniform":[65],"convergence.":[66],"allows":[68],"us":[69],"solve":[71],"problem":[73],"gradient":[75,80],"based":[76],"algorithms":[77],"such":[78],"as":[79],"descent":[81],"overcome":[83],"non-differentiable":[85],"$L_\\infty$":[88],"norm.":[89],"Experiments":[90],"on":[91],"both":[92],"synthetic":[93],"real":[95],"image":[96],"shown":[99],"algorithm":[103],"achieves":[104],"high":[105],"precision":[106],"also":[108],"significantly":[109],"speeds":[110],"up":[111],"implementation.":[113]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2145014871","counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2024-12-06T20:13:23.797600","created_date":"2016-06-24"}