{"id":"https://openalex.org/W2119624612","doi":"https://doi.org/10.1109/cvpr.2003.1211401","title":"Surface reconstruction via Helmholtz reciprocity with a single image pair","display_name":"Surface reconstruction via Helmholtz reciprocity with a single image pair","publication_year":2003,"publication_date":"2003-11-21","ids":{"openalex":"https://openalex.org/W2119624612","doi":"https://doi.org/10.1109/cvpr.2003.1211401","mag":"2119624612"},"language":"en","primary_location":{"id":"doi:10.1109/cvpr.2003.1211401","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2003.1211401","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003. Proceedings.","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/A5113686023","display_name":"Peter Tu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210134512","display_name":"GE Global Research (United States)","ror":"https://ror.org/03e06qt98","country_code":"US","type":"company","lineage":["https://openalex.org/I4210134512"]},{"id":"https://openalex.org/I1332737386","display_name":"General Electric (United States)","ror":"https://ror.org/013msgt25","country_code":"US","type":"company","lineage":["https://openalex.org/I1332737386"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"P. Tu","raw_affiliation_strings":["GE Global Research Center, Niskayuna, NY, USA","GE Global Research Center Niskayuna, NY USA"],"affiliations":[{"raw_affiliation_string":"GE Global Research Center, Niskayuna, NY, USA","institution_ids":["https://openalex.org/I4210134512"]},{"raw_affiliation_string":"GE Global Research Center Niskayuna, NY USA","institution_ids":["https://openalex.org/I1332737386"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005224133","display_name":"Paulo R. S. Mendon\u00e7a","orcid":"https://orcid.org/0000-0003-4025-4083"},"institutions":[{"id":"https://openalex.org/I4210134512","display_name":"GE Global Research (United States)","ror":"https://ror.org/03e06qt98","country_code":"US","type":"company","lineage":["https://openalex.org/I4210134512"]},{"id":"https://openalex.org/I1332737386","display_name":"General Electric (United States)","ror":"https://ror.org/013msgt25","country_code":"US","type":"company","lineage":["https://openalex.org/I1332737386"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P.R.S. Mendonca","raw_affiliation_strings":["GE Global Research Center, Niskayuna, NY, USA","GE Global Research Center Niskayuna, NY USA"],"affiliations":[{"raw_affiliation_string":"GE Global Research Center, Niskayuna, NY, USA","institution_ids":["https://openalex.org/I4210134512"]},{"raw_affiliation_string":"GE Global Research Center Niskayuna, NY USA","institution_ids":["https://openalex.org/I1332737386"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5113686023"],"corresponding_institution_ids":["https://openalex.org/I1332737386","https://openalex.org/I4210134512"],"apc_list":null,"apc_paid":null,"fwci":3.7685,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.93728473,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"I","last_page":"541"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10638","display_name":"Optical measurement and interference techniques","score":0.9997000098228455,"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/T10638","display_name":"Optical measurement and interference techniques","score":0.9997000098228455,"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/T12111","display_name":"Industrial Vision Systems and Defect Detection","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T11211","display_name":"3D Surveying and Cultural Heritage","score":0.9965999722480774,"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/reciprocity","display_name":"Reciprocity (cultural anthropology)","score":0.673976719379425},{"id":"https://openalex.org/keywords/surface-reconstruction","display_name":"Surface reconstruction","score":0.634233832359314},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.5860817432403564},{"id":"https://openalex.org/keywords/helmholtz-free-energy","display_name":"Helmholtz free energy","score":0.5443559885025024},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.530335545539856},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.5096030235290527},{"id":"https://openalex.org/keywords/photometric-stereo","display_name":"Photometric stereo","score":0.4934352934360504},{"id":"https://openalex.org/keywords/orientation","display_name":"Orientation (vector space)","score":0.4911305606365204},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4905173182487488},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.4854758083820343},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.461089551448822},{"id":"https://openalex.org/keywords/reciprocal","display_name":"Reciprocal","score":0.4513692557811737},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45048192143440247},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4376077950000763},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4201260209083557},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3466963768005371},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.3007850646972656},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13524174690246582}],"concepts":[{"id":"https://openalex.org/C169903001","wikidata":"https://www.wikidata.org/wiki/Q3264987","display_name":"Reciprocity (cultural anthropology)","level":2,"score":0.673976719379425},{"id":"https://openalex.org/C20885615","wikidata":"https://www.wikidata.org/wiki/Q825595","display_name":"Surface reconstruction","level":3,"score":0.634233832359314},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5860817432403564},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.5443559885025024},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.530335545539856},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.5096030235290527},{"id":"https://openalex.org/C44365914","wikidata":"https://www.wikidata.org/wiki/Q17120636","display_name":"Photometric stereo","level":3,"score":0.4934352934360504},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.4911305606365204},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4905173182487488},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.4854758083820343},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.461089551448822},{"id":"https://openalex.org/C2777742833","wikidata":"https://www.wikidata.org/wiki/Q1964083","display_name":"Reciprocal","level":2,"score":0.4513692557811737},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45048192143440247},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4376077950000763},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4201260209083557},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3466963768005371},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3007850646972656},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13524174690246582},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"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/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cvpr.2003.1211401","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2003.1211401","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003. Proceedings.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W97083571","https://openalex.org/W1495317514","https://openalex.org/W1515194178","https://openalex.org/W1517058277","https://openalex.org/W1528946842","https://openalex.org/W1576579612","https://openalex.org/W1604674053","https://openalex.org/W1713915947","https://openalex.org/W1975089519","https://openalex.org/W1977948323","https://openalex.org/W1987027398","https://openalex.org/W2016704491","https://openalex.org/W2032186750","https://openalex.org/W2032624242","https://openalex.org/W2050744010","https://openalex.org/W2053155900","https://openalex.org/W2066303290","https://openalex.org/W2106687120","https://openalex.org/W2122585444","https://openalex.org/W2136748901","https://openalex.org/W2143181226","https://openalex.org/W2169386072","https://openalex.org/W2248906188","https://openalex.org/W2973948937","https://openalex.org/W3022675554","https://openalex.org/W3106893712","https://openalex.org/W6630744482","https://openalex.org/W6636309663","https://openalex.org/W6777240130"],"related_works":["https://openalex.org/W2074734276","https://openalex.org/W2320151809","https://openalex.org/W1834819678","https://openalex.org/W3124723979","https://openalex.org/W2371473847","https://openalex.org/W2003508070","https://openalex.org/W2340980717","https://openalex.org/W3122366751","https://openalex.org/W3122257624","https://openalex.org/W1491850760"],"abstract_inverted_index":{"This":[0,28,169],"paper":[1],"proposes":[2],"a":[3,22,25,104,125,186],"method":[4],"for":[5,32,61,172],"three-dimensional":[6],"reconstruction":[7,117,156,174,206],"of":[8,13,21,34,43,56,93,108,111,128,147,175,181,194,204],"surfaces":[9,45,176],"that":[10,157],"takes":[11],"advantage":[12],"the":[14,19,35,41,54,71,90,101,116,143,148,155,159,163,173,191,202,205,209],"symmetry":[15],"resulting":[16],"from":[17,68],"alternating":[18],"positions":[20],"camera":[23],"and":[24,81,85,131,165,179],"light":[26],"source.":[27],"set":[29],"up":[30],"allows":[31,171],"use":[33],"Helmholtz":[36,137],"reciprocity":[37,138],"principle":[38],"to":[39,120,141],"recover":[40],"shape":[42],"smooth":[44],"with":[46,74,198,208],"arbitrary":[47],"bidirectional":[48],"reflectance":[49],"distribution":[50],"functions":[51],"without":[52],"requiring":[53],"presence":[55],"texture,":[57],"as":[58,60,75,77,114],"well":[59],"exploiting":[62],"mutual":[63],"occlusions":[64],"between":[65,162],"images.":[66],"Different":[67],"previous":[69],"methods,":[70],"technique":[72],"works":[73],"few":[76],"one":[78,135],"reciprocal":[79],"pair,":[80],"recovers":[82],"surface":[83,112,129],"depth":[84,109],"orientation":[86,113],"simultaneously":[87],"by":[88],"finding":[89],"global":[91],"minimum":[92],"an":[94],"error":[95,102],"function":[96,105],"via":[97],"dynamic":[98,152],"programming.":[99],"Since":[100],"is":[103,118,139,185],"not":[106],"just":[107],"but":[110],"well,":[115],"subject":[119],"tighter":[121],"geometric":[122],"constraints.":[123],"Given":[124],"current":[126],"estimate":[127],"geometry":[130],"intensity":[132,145,167],"measurements":[133],"in":[134,190],"image,":[136],"used":[140],"predict":[142],"pixel":[144],"values":[146],"second":[149],"image.":[150],"The":[151],"program":[153],"finds":[154],"minimizes":[158],"total":[160],"difference":[161],"predicted":[164],"measured":[166],"values.":[168],"approach":[170],"displaying":[177],"specularities":[178],"regions":[180],"high":[182],"curvature,":[183],"which":[184],"challenge":[187],"commonly":[188],"encountered":[189],"optical":[192],"inspection":[193],"industrial":[195],"parts.":[196],"Results":[197],"real":[199],"data":[200],"show":[201],"quality":[203],"obtained":[207],"proposed":[210],"algorithm.":[211]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
