{"id":"https://openalex.org/W4321392579","doi":"https://doi.org/10.48550/arxiv.2302.08765","title":"On the Regularising Levenberg-Marquardt Method for Blinn-Phong Photometric Stereo","display_name":"On the Regularising Levenberg-Marquardt Method for Blinn-Phong Photometric Stereo","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4321392579","doi":"https://doi.org/10.48550/arxiv.2302.08765"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2302.08765","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false},"type":"preprint","type_crossref":"posted-content","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/abs/2302.08765","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047845756","display_name":"Georg Radow","orcid":"https://orcid.org/0000-0002-2815-5077"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Radow, Georg","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5075931354","display_name":"Michael Breu\u00df","orcid":"https://orcid.org/0000-0002-5322-2411"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Breu\u00df, Michael","raw_affiliation_strings":[],"affiliations":[]}],"institution_assertions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":67},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10766","display_name":"Urban Heat Island Mitigation","score":0.9832,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10766","display_name":"Urban Heat Island Mitigation","score":0.9832,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9803,"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/T11666","display_name":"Color Science and Applications","score":0.977,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/photometric-stereo","display_name":"Photometric Stereo","score":0.76830906}],"concepts":[{"id":"https://openalex.org/C44365914","wikidata":"https://www.wikidata.org/wiki/Q17120636","display_name":"Photometric stereo","level":3,"score":0.76830906},{"id":"https://openalex.org/C118381688","wikidata":"https://www.wikidata.org/wiki/Q1079524","display_name":"Specular reflection","level":2,"score":0.5887208},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.58746564},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.55900866},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5194451},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.49788594},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.4925402},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.4894134},{"id":"https://openalex.org/C108597893","wikidata":"https://www.wikidata.org/wiki/Q663650","display_name":"Reflectivity","level":2,"score":0.43115142},{"id":"https://openalex.org/C62649853","wikidata":"https://www.wikidata.org/wiki/Q199687","display_name":"Remote sensing","level":1,"score":0.37041664},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3042623},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.27014595},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.14148945},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.12567562},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08355671},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2302.08765","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://api.datacite.org/dois/10.48550/arxiv.2302.08765","pdf_url":null,"source":{"id":"https://openalex.org/S4393179698","display_name":"DataCite API","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210145204","host_organization_name":"DataCite","host_organization_lineage":["https://openalex.org/I4210145204"],"host_organization_lineage_names":["DataCite"],"type":"metadata"},"license":null,"license_id":null,"version":null}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2302.08765","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.42,"id":"https://metadata.un.org/sdg/11"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2944829526","https://openalex.org/W2382975238","https://openalex.org/W2331869614","https://openalex.org/W2324852915","https://openalex.org/W2162440529","https://openalex.org/W2118271761","https://openalex.org/W2063902106","https://openalex.org/W2040330248","https://openalex.org/W2017579512","https://openalex.org/W1977874052"],"abstract_inverted_index":{"Photometric":[0],"stereo":[1],"refers":[2],"to":[3,6,81,104],"the":[4,8,25,37,55,74,90,94,112,118,127],"process":[5],"compute":[7],"3D":[9],"shape":[10],"of":[11,28,93,108,111,117,129],"an":[12,83],"object":[13],"using":[14],"information":[15,88],"on":[16,73,89,97],"illumination":[17],"and":[18,100],"reflectance":[19,34,63],"from":[20,24],"several":[21],"input":[22,48],"images":[23],"same":[26],"point":[27],"view.":[29],"The":[30,121],"most":[31],"often":[32],"used":[33],"model":[35],"is":[36],"Lambertian":[38],"reflectance,":[39],"however":[40],"this":[41,51,69,130],"does":[42],"not":[43],"include":[44],"specular":[45,66],"highlights":[46],"in":[47],"images.":[49],"In":[50],"paper":[52,131],"we":[53,71,101],"consider":[54],"arising":[56],"non-linear":[57],"optimisation":[58],"problem":[59],"when":[60],"employing":[61],"Blinn-Phong":[62],"for":[64],"modeling":[65],"effects.":[67],"To":[68],"end":[70],"focus":[72],"regularising":[75],"Levenberg-Marquardt":[76],"scheme.":[77],"We":[78],"show":[79,102],"how":[80,103],"derive":[82],"explicit":[84],"bound":[85],"that":[86,124],"gives":[87],"convergence":[91],"reliability":[92],"method":[95],"depending":[96],"given":[98],"data,":[99],"gain":[105],"experimental":[106],"evidence":[107],"numerical":[109],"correctness":[110],"iteration":[113],"by":[114,134],"making":[115],"use":[116],"Scherzer":[119],"condition.":[120],"theoretical":[122],"investigations":[123],"are":[125,132],"at":[126],"heart":[128],"supplemented":[133],"some":[135],"tests":[136],"with":[137],"real-world":[138],"imagery.":[139]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4321392579","counts_by_year":[],"updated_date":"2025-01-05T14:43:59.988625","created_date":"2023-02-21"}