{"id":"https://openalex.org/W2069800350","doi":"https://doi.org/10.1137/120891927","title":"Level Set Estimation from Projection Measurements: Performance Guarantees and Fast Computation","display_name":"Level Set Estimation from Projection Measurements: Performance Guarantees and Fast Computation","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2069800350","doi":"https://doi.org/10.1137/120891927","mag":"2069800350"},"language":"en","primary_location":{"id":"doi:10.1137/120891927","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120891927","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1209.3990","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Kalyani Krishnamurthy","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Kalyani Krishnamurthy","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Waheed U. Bajwa","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Waheed U. Bajwa","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Rebecca Willett","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rebecca Willett","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2649,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.62704092,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"6","issue":"4","first_page":"2047","last_page":"2074"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10770","display_name":"Soil Geostatistics and Mapping","score":0.11810000240802765,"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/T10770","display_name":"Soil Geostatistics and Mapping","score":0.11810000240802765,"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/T11164","display_name":"Remote Sensing and LiDAR Applications","score":0.07829999923706055,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.07779999822378159,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6721000075340271},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5751000046730042},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5479999780654907},{"id":"https://openalex.org/keywords/level-set","display_name":"Level set (data structures)","score":0.5055000185966492},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.47929999232292175},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4657000005245209},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.4569000005722046},{"id":"https://openalex.org/keywords/tomographic-reconstruction","display_name":"Tomographic reconstruction","score":0.4526999890804291},{"id":"https://openalex.org/keywords/subpixel-rendering","display_name":"Subpixel rendering","score":0.45239999890327454}],"concepts":[{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6721000075340271},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.580299973487854},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5751000046730042},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5479999780654907},{"id":"https://openalex.org/C153008295","wikidata":"https://www.wikidata.org/wiki/Q6535093","display_name":"Level set (data structures)","level":2,"score":0.5055000185966492},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.47929999232292175},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47850000858306885},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4657000005245209},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.4569000005722046},{"id":"https://openalex.org/C97742081","wikidata":"https://www.wikidata.org/wiki/Q7820109","display_name":"Tomographic reconstruction","level":3,"score":0.4526999890804291},{"id":"https://openalex.org/C68516990","wikidata":"https://www.wikidata.org/wiki/Q452912","display_name":"Subpixel rendering","level":3,"score":0.45239999890327454},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4514999985694885},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.421999990940094},{"id":"https://openalex.org/C15312841","wikidata":"https://www.wikidata.org/wiki/Q1657198","display_name":"Set function","level":3,"score":0.4092000126838684},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.4050999879837036},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.3686999976634979},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.36660000681877136},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.35190001130104065},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.3075000047683716},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.3041999936103821},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.2930999994277954},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.2800000011920929},{"id":"https://openalex.org/C2777036070","wikidata":"https://www.wikidata.org/wiki/Q18393452","display_name":"Random projection","level":2,"score":0.2754000127315521},{"id":"https://openalex.org/C2777168461","wikidata":"https://www.wikidata.org/wiki/Q42196253","display_name":"Set operations","level":3,"score":0.27300000190734863},{"id":"https://openalex.org/C125269122","wikidata":"https://www.wikidata.org/wiki/Q1751397","display_name":"Level set method","level":4,"score":0.26489999890327454},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.2603999972343445},{"id":"https://openalex.org/C58489278","wikidata":"https://www.wikidata.org/wiki/Q1172284","display_name":"Data set","level":2,"score":0.2540000081062317}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/120891927","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120891927","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1209.3990","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1209.3990","pdf_url":"https://arxiv.org/pdf/1209.3990","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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:alma.01RUT_INST:11665214550004646","is_oa":false,"landing_page_url":"https://scholarship.libraries.rutgers.edu/esploro/outputs/journalArticle/Level-set-estimation-from-projection-measurements/991031666243704646","pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1209.3990","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1209.3990","pdf_url":"https://arxiv.org/pdf/1209.3990","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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1492288302","https://openalex.org/W1560153690","https://openalex.org/W1674742109","https://openalex.org/W1978333359","https://openalex.org/W1979538862","https://openalex.org/W2001869140","https://openalex.org/W2002703132","https://openalex.org/W2005097727","https://openalex.org/W2028349405","https://openalex.org/W2039851473","https://openalex.org/W2044762091","https://openalex.org/W2060918050","https://openalex.org/W2062934120","https://openalex.org/W2075041908","https://openalex.org/W2075308182","https://openalex.org/W2083511239","https://openalex.org/W2093087186","https://openalex.org/W2097464240","https://openalex.org/W2103559027","https://openalex.org/W2106547042","https://openalex.org/W2126779282","https://openalex.org/W2127271355","https://openalex.org/W2129206142","https://openalex.org/W2129638195","https://openalex.org/W2135046866","https://openalex.org/W2137993841","https://openalex.org/W2142211803","https://openalex.org/W2143168132","https://openalex.org/W2145096794","https://openalex.org/W2146448565","https://openalex.org/W2147543736","https://openalex.org/W2155170697","https://openalex.org/W2158940042","https://openalex.org/W2167503608","https://openalex.org/W2418802570","https://openalex.org/W2963322354","https://openalex.org/W4233413206","https://openalex.org/W4250955649"],"related_works":[],"abstract_inverted_index":{"Estimation":[0],"of":[1,5,35,75,87,147,159,168,170,176],"the":[2,11,33,76,88,92,102,127,137,148,155,163,171,177],"level":[3,77,94,103],"set":[4,78,95,104],"a":[6,67,143],"function":[7,12,34],"(i.e.,":[8],"regions":[9],"where":[10],"exceeds":[13],"some":[14],"value)":[15],"is":[16,37,43,97],"an":[17,109,131],"important":[18],"problem":[19],"with":[20,61,130],"applications":[21],"in":[22,166],"digital":[23],"elevation":[24],"mapping,":[25],"medical":[26],"imaging,":[27],"astronomy,":[28],"etc.":[29],"In":[30],"many":[31],"applications,":[32],"interest":[36],"not":[38],"observed":[39],"directly.":[40],"Rather,":[41],"it":[42],"acquired":[44],"through":[45],"(linear)":[46],"projection":[47,81,106],"measurements,":[48,54,56],"such":[49,80],"as":[50],"tomographic":[51],"projections,":[52],"interferometric":[53],"coded-aperture":[55],"and":[57,72,134,161,174],"random":[58],"projections":[59],"associated":[60],"compressed":[62],"sensing.":[63],"This":[64,113],"paper":[65,140],"describes":[66],"new":[68],"methodology":[69],"for":[70],"rapid":[71],"accurate":[73],"estimation":[74],"from":[79,105,154],"measurements.":[82],"The":[83,139],"key":[84],"defining":[85],"characteristic":[86],"proposed":[89,149],"method,":[90,150],"called":[91],"projective":[93],"estimator,":[96],"its":[98],"ability":[99],"to":[100,115,120],"estimate":[101,126],"measurements":[107],"without":[108],"intermediate":[110],"reconstruction":[111],"step.":[112],"leads":[114],"significantly":[116],"faster":[117],"computation":[118],"relative":[119],"heuristic":[121],"\u201cplug-in\"":[122],"methods":[123],"that":[124],"first":[125],"function,":[128],"typically":[129],"iterative":[132],"algorithm,":[133],"then":[135],"threshold":[136],"result.":[138],"also":[141],"includes":[142],"rigorous":[144],"theoretical":[145],"analysis":[146],"which":[151],"utilizes":[152],"results":[153],"literature":[156],"on":[157],"concentration":[158],"measure":[160],"characterizes":[162],"estimator's":[164],"performance":[165],"terms":[167],"geometry":[169],"measurement":[172],"operator":[173],"$\\ell_1$-norm":[175],"discretized":[178],"function.":[179]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}
