{"id":"https://openalex.org/W2065623848","doi":"https://doi.org/10.1017/s0263574712000550","title":"Dynamic collision risk modeling under uncertainty","display_name":"Dynamic collision risk modeling under uncertainty","publication_year":2012,"publication_date":"2012-10-03","ids":{"openalex":"https://openalex.org/W2065623848","doi":"https://doi.org/10.1017/s0263574712000550","mag":"2065623848"},"language":"en","primary_location":{"id":"doi:10.1017/s0263574712000550","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0263574712000550","pdf_url":null,"source":{"id":"https://openalex.org/S92163612","display_name":"Robotica","issn_l":"0263-5747","issn":["0263-5747","1469-8668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Robotica","raw_type":"journal-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/A5071929352","display_name":"F. Belkhouche","orcid":"https://orcid.org/0000-0002-0083-086X"},"institutions":[{"id":"https://openalex.org/I43522216","display_name":"California State University, Sacramento","ror":"https://ror.org/03e26wv14","country_code":"US","type":"education","lineage":["https://openalex.org/I43522216"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"F. Belkhouche","raw_affiliation_strings":["Department of Electrical Engineering, CSU Sacramento, CA 95819, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, CSU Sacramento, CA 95819, USA","institution_ids":["https://openalex.org/I43522216"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072001313","display_name":"B. Bendjilali","orcid":null},"institutions":[{"id":"https://openalex.org/I28442235","display_name":"Raritan Valley Community College","ror":"https://ror.org/005c60751","country_code":"US","type":"education","lineage":["https://openalex.org/I28442235"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"B. Bendjilali","raw_affiliation_strings":["Department of Mathematics, Raritan Valley Community College, Branchburg, NJ 08876, USA","Raritan Valley Community College,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Raritan Valley Community College, Branchburg, NJ 08876, USA","institution_ids":["https://openalex.org/I28442235"]},{"raw_affiliation_string":"Raritan Valley Community College,","institution_ids":["https://openalex.org/I28442235"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5071929352"],"corresponding_institution_ids":["https://openalex.org/I43522216"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.2261662,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"31","issue":"4","first_page":"525","last_page":"537"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11099","display_name":"Autonomous Vehicle Technology and Safety","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11099","display_name":"Autonomous Vehicle Technology and Safety","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10331","display_name":"Video Surveillance and Tracking Methods","score":0.9932000041007996,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/collision","display_name":"Collision","score":0.8099737167358398},{"id":"https://openalex.org/keywords/collision-detection","display_name":"Collision detection","score":0.7712608575820923},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6700788736343384},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6159540414810181},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.5817013382911682},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.552906334400177},{"id":"https://openalex.org/keywords/visibility","display_name":"Visibility","score":0.5165433287620544},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.44875064492225647},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4433109164237976},{"id":"https://openalex.org/keywords/collision-avoidance","display_name":"Collision avoidance","score":0.42366456985473633},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.42028704285621643},{"id":"https://openalex.org/keywords/simulation","display_name":"Simulation","score":0.40195232629776},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35590434074401855},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.251259982585907},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19290420413017273},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14958837628364563},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12364435195922852},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11738023161888123}],"concepts":[{"id":"https://openalex.org/C121704057","wikidata":"https://www.wikidata.org/wiki/Q352070","display_name":"Collision","level":2,"score":0.8099737167358398},{"id":"https://openalex.org/C199668693","wikidata":"https://www.wikidata.org/wiki/Q1550329","display_name":"Collision detection","level":3,"score":0.7712608575820923},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6700788736343384},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6159540414810181},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5817013382911682},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.552906334400177},{"id":"https://openalex.org/C123403432","wikidata":"https://www.wikidata.org/wiki/Q654068","display_name":"Visibility","level":2,"score":0.5165433287620544},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.44875064492225647},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4433109164237976},{"id":"https://openalex.org/C2780864053","wikidata":"https://www.wikidata.org/wiki/Q5147495","display_name":"Collision avoidance","level":3,"score":0.42366456985473633},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.42028704285621643},{"id":"https://openalex.org/C44154836","wikidata":"https://www.wikidata.org/wiki/Q45045","display_name":"Simulation","level":1,"score":0.40195232629776},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35590434074401855},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.251259982585907},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19290420413017273},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14958837628364563},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12364435195922852},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11738023161888123},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0263574712000550","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0263574712000550","pdf_url":null,"source":{"id":"https://openalex.org/S92163612","display_name":"Robotica","issn_l":"0263-5747","issn":["0263-5747","1469-8668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Robotica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1582458940","https://openalex.org/W1915392408","https://openalex.org/W1969481231","https://openalex.org/W2011317317","https://openalex.org/W2045481323","https://openalex.org/W2070479823","https://openalex.org/W2086175709","https://openalex.org/W2096362133","https://openalex.org/W2096887879","https://openalex.org/W2104075064","https://openalex.org/W2106993639","https://openalex.org/W2107556430","https://openalex.org/W2108862716","https://openalex.org/W2113922565","https://openalex.org/W2116392969","https://openalex.org/W2123264737","https://openalex.org/W2126470559","https://openalex.org/W2136947569","https://openalex.org/W2137687238","https://openalex.org/W2137835155","https://openalex.org/W2141051954","https://openalex.org/W2142306625","https://openalex.org/W2145938889","https://openalex.org/W2151910862","https://openalex.org/W2154789170","https://openalex.org/W2157304242","https://openalex.org/W2158793491","https://openalex.org/W2159555929","https://openalex.org/W2163487198","https://openalex.org/W2169336303","https://openalex.org/W2171349326","https://openalex.org/W2186952842","https://openalex.org/W2528940545","https://openalex.org/W2540877599","https://openalex.org/W2623660146","https://openalex.org/W3145851754","https://openalex.org/W3150565301","https://openalex.org/W4206409990","https://openalex.org/W4229739412","https://openalex.org/W4237354932","https://openalex.org/W4240504038","https://openalex.org/W4242194896","https://openalex.org/W6685296549"],"related_works":["https://openalex.org/W2043693401","https://openalex.org/W2387057191","https://openalex.org/W2111496734","https://openalex.org/W2383278621","https://openalex.org/W2388861813","https://openalex.org/W2058288278","https://openalex.org/W3066494597","https://openalex.org/W3124606099","https://openalex.org/W4327773890","https://openalex.org/W2990922781"],"abstract_inverted_index":{"SUMMARY":[0],"This":[1,95],"paper":[2],"introduces":[3],"a":[4,50,76,85,92],"probabilistic":[5],"model":[6],"for":[7],"collision":[8,48,82,89,102,127,144],"risk":[9],"assessment":[10],"between":[11,150],"moving":[12,86],"vehicles.":[13],"The":[14,58,73,122,141],"uncertainties":[15],"in":[16,49,129],"the":[17,20,25,35,40,45,65,70,111,116,119,126,132,137,151],"states":[18,36],"and":[19,37,63],"geometric":[21,101],"variables":[22],"obtained":[23],"from":[24,115],"sensory":[26],"system":[27],"are":[28,55,107,158],"characterized":[29],"by":[30],"probability":[31,46,142],"density":[32],"functions.":[33],"Given":[34],"their":[38],"uncertainties,":[39],"goal":[41],"is":[42,75,145,154],"to":[43,88,98,109,118],"determine":[44],"of":[47,67,69,78,131,134,136,143],"dynamic":[51],"environment.":[52],"Two":[53],"approaches":[54],"discussed:":[56],"(1)":[57],"virtual":[59],"configuration":[60,120],"space":[61],"(VCS),":[62],"(2)":[64],"rates":[66],"change":[68,135],"visibility":[71,139],"angles.":[72,140],"VCS":[74,117],"transformation":[77],"observer":[79],"that":[80],"reduces":[81],"detection":[83,90],"with":[84,91],"object":[87],"stationary":[93],"object.":[94],"approach":[96,124],"allows":[97],"create":[99],"simple":[100],"cones.":[103],"Error":[104],"propagation":[105],"models":[106],"used":[108],"solve":[110],"problem":[112],"when":[113],"going":[114],"space.":[121],"second":[123],"derives":[125],"conditions":[128],"terms":[130],"rate":[133],"limit":[138],"then":[146],"calculated.":[147],"A":[148],"comparison":[149],"two":[152],"methods":[153],"carried":[155],"out.":[156],"Results":[157],"illustrated":[159],"using":[160],"simulation,":[161],"including":[162],"Monte":[163],"Carlo":[164],"simulation.":[165]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
