{"id":"https://openalex.org/W2158207287","doi":"https://doi.org/10.1007/978-3-540-45058-0_5","title":"On the Relationship between Classical Grid Search and Probabilistic Roadmaps","display_name":"On the Relationship between Classical Grid Search and Probabilistic Roadmaps","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2158207287","doi":"https://doi.org/10.1007/978-3-540-45058-0_5","mag":"2158207287"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-45058-0_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-45058-0_5","pdf_url":null,"source":{"id":"https://openalex.org/S4210185684","display_name":"Springer tracts in advanced robotics","issn_l":"1610-742X","issn":["1610-742X","1610-7438"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Springer Tracts in Advanced Robotics","raw_type":"book-chapter"},"type":"book-chapter","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/A5065104734","display_name":"Steven M. LaValle","orcid":"https://orcid.org/0000-0003-4841-2584"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Steven M. LaValle","raw_affiliation_strings":["Dept. of Computer Science, University of Illinois, Urbana, IL, 61801, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, University of Illinois, Urbana, IL, 61801, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006074457","display_name":"Michael S. Branicky","orcid":null},"institutions":[{"id":"https://openalex.org/I58956616","display_name":"Case Western Reserve University","ror":"https://ror.org/051fd9666","country_code":"US","type":"education","lineage":["https://openalex.org/I58956616"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael S. Branicky","raw_affiliation_strings":["Dept. of Electrical Engineering and Computer Science, Case Western Reserve University, Cleveland, OH, 44106, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electrical Engineering and Computer Science, Case Western Reserve University, Cleveland, OH, 44106, USA","institution_ids":["https://openalex.org/I58956616"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065104734"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":29.3645,"has_fulltext":false,"cited_by_count":340,"citation_normalized_percentile":{"value":0.99814586,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"59","last_page":"75"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9984999895095825,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9955000281333923,"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"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.987500011920929,"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/grid","display_name":"Grid","score":0.7738610506057739},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.7088254690170288},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6099192500114441},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.5653385519981384},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49695828557014465},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.4963863492012024},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.47557178139686584},{"id":"https://openalex.org/keywords/collision","display_name":"Collision","score":0.4621276557445526},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.43291330337524414},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4171307384967804},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35707956552505493},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3191149830818176},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23597729206085205},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1316922903060913},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09916245937347412},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0904686450958252}],"concepts":[{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.7738610506057739},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.7088254690170288},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6099192500114441},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5653385519981384},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49695828557014465},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.4963863492012024},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.47557178139686584},{"id":"https://openalex.org/C121704057","wikidata":"https://www.wikidata.org/wiki/Q352070","display_name":"Collision","level":2,"score":0.4621276557445526},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.43291330337524414},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4171307384967804},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35707956552505493},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3191149830818176},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23597729206085205},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1316922903060913},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09916245937347412},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0904686450958252},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":10,"locations":[{"id":"doi:10.1007/978-3-540-45058-0_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-45058-0_5","pdf_url":null,"source":{"id":"https://openalex.org/S4210185684","display_name":"Springer tracts in advanced robotics","issn_l":"1610-742X","issn":["1610-742X","1610-7438"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Springer Tracts in Advanced Robotics","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.127.5321","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.127.5321","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.cmu.edu/~motionplanning/papers/sbp_papers/PRM/prmsampling_09.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.128.9154","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.128.9154","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://msl.cs.uiuc.edu/~slindema/papers/LavBraLin04.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.278.6726","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.278.6726","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://personalrobotics.ri.cmu.edu/courses/papers/Lavalle01-gridprm.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.423.584","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.423.584","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://dora.case.edu/msb/EHS/LavBra02.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.61.6226","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.61.6226","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://msl.cs.uiuc.edu/~lavalle/papers/LavBraLin04.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.61.7275","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.61.7275","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://msl.cs.uiuc.edu/~lavalle/papers/LavBra03.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.66.1576","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.66.1576","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://msl.cs.uiuc.edu/~lavalle/papers/LavBra03.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.8.4290","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.8.4290","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://dora.cwru.edu/msb/pubs/WAFR2002.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.83.7171","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.83.7171","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ijr.sagepub.com/cgi/reprint/23/7-8/673.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.7900000214576721,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":78,"referenced_works":["https://openalex.org/W20444823","https://openalex.org/W101508493","https://openalex.org/W115130976","https://openalex.org/W142807283","https://openalex.org/W1480110140","https://openalex.org/W1495392417","https://openalex.org/W1516027685","https://openalex.org/W1536373029","https://openalex.org/W1543280314","https://openalex.org/W1545349331","https://openalex.org/W1555761015","https://openalex.org/W1589492117","https://openalex.org/W1617800291","https://openalex.org/W1670942551","https://openalex.org/W1901697964","https://openalex.org/W1937587174","https://openalex.org/W1965440866","https://openalex.org/W1971315778","https://openalex.org/W1975705534","https://openalex.org/W1976544585","https://openalex.org/W1985018928","https://openalex.org/W1995990042","https://openalex.org/W2000359213","https://openalex.org/W2001804342","https://openalex.org/W2002869412","https://openalex.org/W2014959310","https://openalex.org/W2017001763","https://openalex.org/W2033013465","https://openalex.org/W2037767367","https://openalex.org/W2043419861","https://openalex.org/W2047000063","https://openalex.org/W2048820947","https://openalex.org/W2077055049","https://openalex.org/W2079793731","https://openalex.org/W2086785654","https://openalex.org/W2090170700","https://openalex.org/W2101829756","https://openalex.org/W2104171123","https://openalex.org/W2104906962","https://openalex.org/W2107535513","https://openalex.org/W2108963891","https://openalex.org/W2115243734","https://openalex.org/W2115257338","https://openalex.org/W2124741347","https://openalex.org/W2128990851","https://openalex.org/W2129209579","https://openalex.org/W2132973123","https://openalex.org/W2144067986","https://openalex.org/W2144836152","https://openalex.org/W2147226148","https://openalex.org/W2147798571","https://openalex.org/W2150500908","https://openalex.org/W2151402824","https://openalex.org/W2152032992","https://openalex.org/W2159722616","https://openalex.org/W2161473822","https://openalex.org/W2161675447","https://openalex.org/W2167568708","https://openalex.org/W2171266831","https://openalex.org/W2226580121","https://openalex.org/W2502616869","https://openalex.org/W2645793119","https://openalex.org/W2889299146","https://openalex.org/W2912484913","https://openalex.org/W2952993024","https://openalex.org/W3104753760","https://openalex.org/W3135037104","https://openalex.org/W4206246621","https://openalex.org/W4242811155","https://openalex.org/W4249137521","https://openalex.org/W4300580367","https://openalex.org/W4392750738","https://openalex.org/W6629573421","https://openalex.org/W6636627844","https://openalex.org/W6670584587","https://openalex.org/W6675438335","https://openalex.org/W6682116176","https://openalex.org/W6683699992"],"related_works":["https://openalex.org/W650625605","https://openalex.org/W3113932901","https://openalex.org/W2801025257","https://openalex.org/W1919219501","https://openalex.org/W2027504272","https://openalex.org/W2372181157","https://openalex.org/W2551285827","https://openalex.org/W2347750628","https://openalex.org/W2386313281","https://openalex.org/W2069703662"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":23},{"year":2020,"cited_by_count":20},{"year":2019,"cited_by_count":13},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":13},{"year":2016,"cited_by_count":18},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":15},{"year":2012,"cited_by_count":10}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}