{"id":"https://openalex.org/W2084754684","doi":"https://doi.org/10.1109/acc.2010.5531152","title":"Multiscale surveillance of Riemannian manifolds","display_name":"Multiscale surveillance of Riemannian manifolds","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2084754684","doi":"https://doi.org/10.1109/acc.2010.5531152","mag":"2084754684"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2010.5531152","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2010.5531152","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2010 American Control Conference","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/A5066630834","display_name":"Howard T. Jacobs","orcid":"https://orcid.org/0000-0003-1895-6003"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"H Jacobs","raw_affiliation_strings":["Control and Dynamical Systems, California Institute of Technology, USA","[Control and Dynamical Systems, California Institute of Technology, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Control and Dynamical Systems, California Institute of Technology, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"[Control and Dynamical Systems, California Institute of Technology, USA]","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067577743","display_name":"S. Nair","orcid":"https://orcid.org/0009-0004-5318-1770"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S Nair","raw_affiliation_strings":["Control and Dynamical Systems, California Institute of Technology, USA","[Control and Dynamical Systems, California Institute of Technology, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Control and Dynamical Systems, California Institute of Technology, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"[Control and Dynamical Systems, California Institute of Technology, USA]","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110208781","display_name":"Jerrold E. Marsden","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J Marsden","raw_affiliation_strings":["Control and Dynamical Systems, California Institute of Technology, USA","[Control and Dynamical Systems, California Institute of Technology, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Control and Dynamical Systems, California Institute of Technology, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"[Control and Dynamical Systems, California Institute of Technology, USA]","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3435,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.63708634,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"5732","last_page":"5737"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10017","display_name":"Geology and Paleoclimatology Research","score":0.978600025177002,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.9781000018119812,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.5993894338607788},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5933207273483276},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5608373880386353},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.4483300447463989},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42514508962631226},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.422961950302124},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42011719942092896},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4171488285064697},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3743467926979065},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1794009506702423}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.5993894338607788},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5933207273483276},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5608373880386353},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.4483300447463989},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42514508962631226},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.422961950302124},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42011719942092896},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4171488285064697},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3743467926979065},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1794009506702423},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/acc.2010.5531152","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2010.5531152","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2010 American Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:authors.library.caltech.edu:23286","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20110412-133114485","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306814","display_name":"Rose Foundation for Communities and the Environment","ror":"https://ror.org/0145pgy59"},{"id":"https://openalex.org/F4320315928","display_name":"Rose Hills Foundation","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1535557537","https://openalex.org/W1567771969","https://openalex.org/W1994330305","https://openalex.org/W2034552783","https://openalex.org/W2149808183","https://openalex.org/W2169243380"],"related_works":["https://openalex.org/W1557607869","https://openalex.org/W2366350639","https://openalex.org/W2087496541","https://openalex.org/W2028455732","https://openalex.org/W4313703117","https://openalex.org/W2085564391","https://openalex.org/W2108615321","https://openalex.org/W1984758362","https://openalex.org/W2042049060","https://openalex.org/W2361714690"],"abstract_inverted_index":{"When":[0],"surveying":[1],"a":[2,6,10,13,22,46,110,114,132,136,139,169],"surface,":[3],"such":[4],"as":[5],"spherical":[7],"shell":[8],"around":[9],"planet":[11],"or":[12],"mine":[14],"field,":[15],"it":[16],"is":[17],"often":[18],"desirable":[19],"to":[20,59,80,106,134,167],"survey":[21],"pre-chosen":[23],"distribution":[24],"while":[25],"simultaneously":[26,117],"respecting":[27],"all":[28],"its":[29],"length":[30],"scales.":[31],"We":[32,95,143],"review":[33],"the":[34,51,72,76,100,103,107,127,146,150,154],"Mix":[35],"Norm":[36],"developed":[37],"by":[38,98],"Mathew":[39],"and":[40,42,54,92,113,174],"Mezic":[41],"their":[43],"application":[44],"for":[45,159],"multiscale":[47,61],"coverage":[48,129],"algorithm":[49,79,101,130],"on":[50,63,102],"unit":[52,104],"square":[53,105],"torus.We":[55],"then":[56,123],"develop":[57],"tools":[58],"do":[60],"surveillance":[62],"arbitrary":[64],"Riemannian":[65],"manifolds":[66],"(M,":[67,160],"g).":[68,161],"Next,":[69],"we":[70,85,122,165],"study":[71,145],"effects":[73,147],"of":[74,109,148,156,177],"applying":[75,99],"mix":[77,157],"norm":[78,158],"more":[81,180],"realistic":[82],"scenarios":[83],"where":[84],"have":[86],"vehicles":[87],"with":[88,179],"different":[89,119],"maximum":[90],"speeds":[91],"frequency":[93],"responses.":[94],"demonstrate":[96],"this":[97],"case":[108],"slow":[111],"vehicle":[112,116,133],"fast":[115],"exploring":[118],"spatial":[120],"scales;":[121],"test":[124],"how":[125],"well":[126],"uniform":[128],"allows":[131],"estimate":[135],"function":[137],"in":[138,153],"least":[140],"squares":[141],"sense.":[142],"also":[144],"varying":[149],"parameter":[151],"s":[152],"definition":[155],"In":[162],"future":[163],"work,":[164],"plan":[166],"apply":[168],"motions":[170],"primitive":[171],"based":[172],"approach":[173],"explore":[175],"ways":[176],"working":[178],"general":[181],"surfaces":[182],"using":[183],"triangular":[184],"meshes.":[185]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
