{"id":"https://openalex.org/W2024928031","doi":"https://doi.org/10.1109/acc.2010.5531523","title":"Curvature based cooperative exploration of three dimensional scalar fields","display_name":"Curvature based cooperative exploration of three dimensional scalar fields","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2024928031","doi":"https://doi.org/10.1109/acc.2010.5531523","mag":"2024928031"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2010.5531523","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2010.5531523","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":"conference-paper","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/A5073774664","display_name":"Wencen Wu","orcid":"https://orcid.org/0000-0002-9080-754X"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wencen Wu","raw_affiliation_strings":["School of Electrical and Computer Engineering, Georgia Institute of Technology, Savannah, GA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Georgia Institute of Technology, Savannah, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068994727","display_name":"Fumin Zhang","orcid":"https://orcid.org/0000-0003-0053-4224"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fumin Zhang","raw_affiliation_strings":["School of Electrical and Computer Engineering, Georgia Institute of Technology, Savannah, GA, USA","School of Electrical and Computer Engineering, Georgia Inst. of Technology, Savannah, 31407, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Georgia Institute of Technology, Savannah, GA, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"School of Electrical and Computer Engineering, Georgia Inst. of Technology, Savannah, 31407, USA","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I130701444"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2909","last_page":"2914"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9815000295639038,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9681000113487244,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/curvature","display_name":"Curvature","score":0.7135072350502014},{"id":"https://openalex.org/keywords/scalar-field","display_name":"Scalar field","score":0.6604583263397217},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5982711315155029},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48212623596191406},{"id":"https://openalex.org/keywords/motion-control","display_name":"Motion control","score":0.47726958990097046},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.45838943123817444},{"id":"https://openalex.org/keywords/differential-geometry","display_name":"Differential geometry","score":0.4560409188270569},{"id":"https://openalex.org/keywords/scalar-curvature","display_name":"Scalar curvature","score":0.4495753049850464},{"id":"https://openalex.org/keywords/principal-curvature","display_name":"Principal curvature","score":0.4452812373638153},{"id":"https://openalex.org/keywords/principal","display_name":"Principal (computer security)","score":0.4293798506259918},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.41914960741996765},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4163757264614105},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3582291901111603},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3335787057876587},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2724460959434509},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2670600712299347},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2604798376560211},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2439395785331726},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16171014308929443}],"concepts":[{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.7135072350502014},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.6604583263397217},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5982711315155029},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48212623596191406},{"id":"https://openalex.org/C145565327","wikidata":"https://www.wikidata.org/wiki/Q852514","display_name":"Motion control","level":3,"score":0.47726958990097046},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.45838943123817444},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.4560409188270569},{"id":"https://openalex.org/C12520029","wikidata":"https://www.wikidata.org/wiki/Q1147161","display_name":"Scalar curvature","level":3,"score":0.4495753049850464},{"id":"https://openalex.org/C16977076","wikidata":"https://www.wikidata.org/wiki/Q1589551","display_name":"Principal curvature","level":4,"score":0.4452812373638153},{"id":"https://openalex.org/C144559511","wikidata":"https://www.wikidata.org/wiki/Q2986279","display_name":"Principal (computer security)","level":2,"score":0.4293798506259918},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.41914960741996765},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4163757264614105},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3582291901111603},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3335787057876587},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2724460959434509},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2670600712299347},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2604798376560211},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2439395785331726},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16171014308929443},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/acc.2010.5531523","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2010.5531523","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:repository.hkust.edu.hk:1783.1-124250","is_oa":false,"landing_page_url":"http://www.scopus.com/record/display.url?eid=2-s2.0-77957803535&origin=inward","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference paper"},{"id":"pmh:oai:smartech.gatech.edu:1853/38886","is_oa":false,"landing_page_url":"http://hdl.handle.net/1853/38886","pdf_url":null,"source":{"id":"https://openalex.org/S4377196313","display_name":"SMARTech Repository (Georgia Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I130701444","host_organization_name":"Georgia Institute of Technology","host_organization_lineage":["https://openalex.org/I130701444"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Proceedings"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5400000214576721,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1527943502","https://openalex.org/W1584141004","https://openalex.org/W1846659435","https://openalex.org/W1976767610","https://openalex.org/W1990510172","https://openalex.org/W2002027000","https://openalex.org/W2090895731","https://openalex.org/W2102279340","https://openalex.org/W2119396629","https://openalex.org/W2133351708","https://openalex.org/W2159826786","https://openalex.org/W2170362224","https://openalex.org/W2170909269","https://openalex.org/W2479140807","https://openalex.org/W2480683370","https://openalex.org/W2492791804"],"related_works":["https://openalex.org/W2067660112","https://openalex.org/W2033139923","https://openalex.org/W3035860309","https://openalex.org/W2082186707","https://openalex.org/W2003300176","https://openalex.org/W2024120081","https://openalex.org/W3107790321","https://openalex.org/W3102561537","https://openalex.org/W2013078667","https://openalex.org/W2951218749"],"abstract_inverted_index":{"We":[0],"develop":[1],"strategies":[2],"for":[3],"controlled":[4],"motion":[5,47],"and":[6,29,57,61],"filtering":[7],"performed":[8],"by":[9,45],"a":[10,33,52,103],"mobile":[11],"sensor":[12,91],"network":[13],"to":[14,24,85,94],"cooperatively":[15],"explore":[16],"an":[17],"unknown":[18],"3D":[19],"scalar":[20,109],"field.":[21,110],"In":[22],"order":[23],"estimate":[25],"the":[26,38,46,59,87,90,98,108],"principal":[27,30],"directions":[28],"curvatures":[31],"of":[32,37,89,97,100,107],"desired":[34],"level":[35,105],"surface":[36,106],"field":[39],"which":[40,65],"are":[41],"used":[42],"as":[43],"feedback":[44],"control":[48,83,86],"law,":[49],"we":[50],"apply":[51],"non-analytic":[53],"curvature":[54,101],"estimation":[55],"algorithm":[56,67],"prove":[58],"sufficient":[60],"necessary":[62],"conditions":[63],"under":[64],"this":[66],"can":[68],"provide":[69],"reliable":[70],"estimates.":[71],"A":[72],"differential":[73],"geometric":[74],"approach":[75],"is":[76],"followed":[77],"in":[78],"developing":[79],"provably":[80],"convergent":[81],"steering":[82],"laws":[84],"center":[88],"platform":[92],"formation":[93],"track":[95],"one":[96],"lines":[99],"on":[102],"detected":[104]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
