{"id":"https://openalex.org/W2109716745","doi":"https://doi.org/10.1364/josaa.23.002629","title":"Quantifications of error propagation in slope-based wavefront estimations","display_name":"Quantifications of error propagation in slope-based wavefront estimations","publication_year":2006,"publication_date":"2006-09-19","ids":{"openalex":"https://openalex.org/W2109716745","doi":"https://doi.org/10.1364/josaa.23.002629","mag":"2109716745","pmid":"https://pubmed.ncbi.nlm.nih.gov/16985547"},"language":"en","primary_location":{"id":"doi:10.1364/josaa.23.002629","doi":"https://doi.org/10.1364/josaa.23.002629","is_oa":false,"landing_page_url":"https://doi.org/10.1364/josaa.23.002629","pdf_url":null,"source":{"id":"https://openalex.org/S130108588","display_name":"Journal of the Optical Society of America A","issn_l":"1084-7529","issn":["1084-7529","1520-8532"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-c","jufo-1","ki-jl-1","medline","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310315679","host_organization_name":"Optica Publishing Group","host_organization_lineage":["https://openalex.org/P4310315679"],"host_organization_lineage_names":["Optica Publishing Group"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Optical Society of America A","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://stars.library.ucf.edu/facultybib2000/6784","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100918066","display_name":"Weiyao Zou","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I106165777","display_name":"University of Central Florida","ror":"https://ror.org/036nfer12","country_code":"US","type":"education","lineage":["https://openalex.org/I106165777"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Weiyao Zou","raw_affiliation_strings":["CREOL, The College of Optics and Photonics, University of Central Florida, Orlando, Florida 32816, USA","UNIVERSITY OF CENTRAL FLORIDA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CREOL, The College of Optics and Photonics, University of Central Florida, Orlando, Florida 32816, USA","institution_ids":["https://openalex.org/I106165777"]},{"raw_affiliation_string":"UNIVERSITY OF CENTRAL FLORIDA","institution_ids":["https://openalex.org/I106165777"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004153189","display_name":"Jannick P. Rolland","orcid":"https://orcid.org/0000-0003-2747-4022","observed_orcids":["https://orcid.org/0000-0003-2747-4022"]},"institutions":[{"id":"https://openalex.org/I106165777","display_name":"University of Central Florida","ror":"https://ror.org/036nfer12","country_code":"US","type":"education","lineage":["https://openalex.org/I106165777"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jannick P. Rolland","raw_affiliation_strings":["University of Central Florida"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Central Florida","institution_ids":["https://openalex.org/I106165777"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I106165777"],"apc_list":null,"apc_paid":null,"fwci":0.5897,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.66194711,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"23","issue":"10","first_page":"2629","last_page":"2629"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11484","display_name":"Adaptive optics and wavefront sensing","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11484","display_name":"Adaptive optics and wavefront sensing","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10638","display_name":"Optical measurement and interference techniques","score":0.00019999999494757503,"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/T11517","display_name":"Advanced optical system design","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/error-propagation","display_name":"error propagation","score":0.7919999957084656},{"id":"https://openalex.org/keywords/wavefront-estimation","display_name":"wavefront estimation","score":0.9660000205039978},{"id":"https://openalex.org/keywords/minimum-norm-least-squares","display_name":"minimum norm least squares","score":0.7229999899864197},{"id":"https://openalex.org/keywords/optical-testing","display_name":"optical testing","score":0.48500001430511475}],"concepts":[{"id":"https://openalex.org/C165699331","wikidata":"https://www.wikidata.org/wiki/Q461533","display_name":"Wavefront","level":2,"score":0.8558633923530579},{"id":"https://openalex.org/C123614077","wikidata":"https://www.wikidata.org/wiki/Q1364905","display_name":"Propagation of uncertainty","level":2,"score":0.551922082901001},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5404478311538696},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4876305162906647},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46127036213874817},{"id":"https://openalex.org/C199524791","wikidata":"https://www.wikidata.org/wiki/Q7198512","display_name":"Piston (optics)","level":3,"score":0.4450913965702057},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.43845292925834656},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32286179065704346},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.3153514564037323},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1732226312160492}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1364/josaa.23.002629","doi":"https://doi.org/10.1364/josaa.23.002629","is_oa":false,"landing_page_url":"https://doi.org/10.1364/josaa.23.002629","pdf_url":null,"source":{"id":"https://openalex.org/S130108588","display_name":"Journal of the Optical Society of America A","issn_l":"1084-7529","issn":["1084-7529","1520-8532"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-c","jufo-1","ki-jl-1","medline","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310315679","host_organization_name":"Optica Publishing Group","host_organization_lineage":["https://openalex.org/P4310315679"],"host_organization_lineage_names":["Optica Publishing Group"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Optical Society of America A","raw_type":"journal-article"},{"id":"pmid:16985547","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/16985547","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Optical Society of America. A, Optics, image science, and vision","raw_type":"Journal Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.1012.536","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1012.536","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.creol.ucf.edu/Research/Publications/1403.PDF","raw_type":"text"},{"id":"pmh:oai:stars.library.ucf.edu:facultybib2000-7783","doi":null,"is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/facultybib2000/6784","pdf_url":null,"source":{"id":"https://openalex.org/S4210172555","display_name":"Journal of International Crisis and Risk Communication Research","issn_l":"2576-0017","issn":["2576-0017","2576-0025"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","vabb-shw"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Bibliography 2000s","raw_type":"text"},{"id":"pmh:oai:stars.library.ucf.edu:scopus2000-9836","doi":null,"is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/scopus2000/8837","pdf_url":null,"source":{"id":"https://openalex.org/S4210172555","display_name":"Journal of International Crisis and Risk Communication Research","issn_l":"2576-0017","issn":["2576-0017","2576-0025"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","vabb-shw"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus Export 2000s","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:stars.library.ucf.edu:facultybib2000-7783","doi":null,"is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/facultybib2000/6784","pdf_url":null,"source":{"id":"https://openalex.org/S4210172555","display_name":"Journal of International Crisis and Risk Communication Research","issn_l":"2576-0017","issn":["2576-0017","2576-0025"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","vabb-shw"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Bibliography 2000s","raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1979529883","https://openalex.org/W1981293229","https://openalex.org/W2003292041","https://openalex.org/W2013256546","https://openalex.org/W2013625699","https://openalex.org/W2014024561","https://openalex.org/W2023342760","https://openalex.org/W2037430361","https://openalex.org/W2058929179","https://openalex.org/W2076438958","https://openalex.org/W2091908034","https://openalex.org/W2132538936","https://openalex.org/W2140837567"],"related_works":["https://openalex.org/W2089160068","https://openalex.org/W2769827243","https://openalex.org/W2017809556","https://openalex.org/W1985038665","https://openalex.org/W2003292041","https://openalex.org/W146671453","https://openalex.org/W2303115601","https://openalex.org/W2486360509","https://openalex.org/W2140837567","https://openalex.org/W7001530283"],"abstract_inverted_index":{"We":[0,58,88],"discuss":[1],"error":[2,13,78,105,127,174],"propagation":[3,14,128,175,209],"in":[4,122,147,201],"the":[5,8,23,26,37,41,63,67,72,81,99,103,108,123,132,141,159,177,196,207],"slope-based":[6,94,148,212],"and":[7,29,95,176,213],"difference-based":[9,96,214],"wavefront":[10,64,68,97,156,215],"estimations.":[11,216],"The":[12,181],"coefficient":[15],"can":[16],"be":[17],"expressed":[18],"as":[19,119],"a":[20,47,120,164,190],"function":[21],"of":[22,25,36],"eigenvalues":[24],"wavefront-estimation-related":[27],"matrices,":[28],"we":[30],"establish":[31],"such":[32],"functions":[33],"for":[34,62,85,92,126,195,210],"each":[35],"basic":[38],"geometries":[39],"with":[40,45,66,107,135,184],"serial":[42],"numbering":[43],"scheme":[44],"which":[46,115,169],"square":[48],"sampling":[49],"grid":[50,74,83,138,187],"array":[51],"is":[52,144,193,198],"sequentially":[53],"indexed":[54],"row":[55],"by":[56],"row.":[57],"first":[59],"show":[60,90],"that":[61,91],"estimation":[65],"piston":[69],"value":[70],"determined,":[71],"odd-number":[73,137,186],"sizes":[75,84],"yield":[76],"better":[77],"propagators":[79,106],"than":[80],"even-number":[82],"all":[86],"geometries.":[87],"further":[89],"both":[93,211],"estimations,":[98],"Southwell":[100,133,182],"geometry":[101,134,143],"offers":[102],"best":[104],"minimum-norm":[109],"least-squares":[110],"solutions.":[111],"Noll's":[112],"theoretical":[113],"result,":[114],"was":[116],"extensively":[117],"used":[118],"reference":[121],"previous":[124],"literature":[125],"estimates,":[129],"corresponds":[130],"to":[131],"an":[136,185],"size.":[139],"Typically":[140],"Fried":[142],"not":[145],"preferred":[146],"optical":[149,202],"testing":[150,160,203],"because":[151,204],"it":[152,205],"either":[153],"allows":[154],"subsize":[155],"estimations":[157,167],"within":[158],"domain":[161],"or":[162],"yields":[163],"two-rank":[165],"deficient":[166],"matrix,":[168],"usually":[170,199],"suffers":[171],"from":[172],"high":[173],"waffle":[178],"mode":[179],"problem.":[180],"geometry,":[183],"size":[188],"if":[189],"zero":[191],"point":[192],"assigned":[194],"wavefront,":[197],"recommended":[200],"provides":[206],"lowest-error":[208]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}