{"id":"https://openalex.org/W2397015042","doi":"https://doi.org/10.1007/10991541_8","title":"Composing Navigation Functions on Cartesian Products of Manifolds with Boundary","display_name":"Composing Navigation Functions on Cartesian Products of Manifolds with Boundary","publication_year":2005,"publication_date":"2005-10-11","ids":{"openalex":"https://openalex.org/W2397015042","doi":"https://doi.org/10.1007/10991541_8","mag":"2397015042"},"language":"en","primary_location":{"id":"doi:10.1007/10991541_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/10991541_8","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/A5071685265","display_name":"Noah J. Cowan","orcid":"https://orcid.org/0000-0003-2502-3770"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]},{"id":"https://openalex.org/I2799853436","display_name":"Johns Hopkins Medicine","ror":"https://ror.org/037zgn354","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I2799853436"]},{"id":"https://openalex.org/I6059380","display_name":"University of Baltimore","ror":"https://ror.org/024gw2733","country_code":"US","type":"education","lineage":["https://openalex.org/I6059380"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Noah J. Cowan","raw_affiliation_strings":["Department of Mechanical Engineering Johns Hopkins University; Baltimore, MD 21218,","Department of Mechanical Engineering Johns Hopkins University","Baltimore, MD 21218,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering Johns Hopkins University; Baltimore, MD 21218,","institution_ids":["https://openalex.org/I145311948","https://openalex.org/I2799853436"]},{"raw_affiliation_string":"Department of Mechanical Engineering Johns Hopkins University","institution_ids":["https://openalex.org/I145311948"]},{"raw_affiliation_string":"Baltimore, MD 21218,","institution_ids":["https://openalex.org/I6059380"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5071685265"],"corresponding_institution_ids":["https://openalex.org/I145311948","https://openalex.org/I2799853436","https://openalex.org/I6059380"],"apc_list":null,"apc_paid":null,"fwci":0.4568,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.74102745,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"91","last_page":"106"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9998000264167786,"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":0.9998000264167786,"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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.998199999332428,"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"}},{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9965000152587891,"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/cartesian-product","display_name":"Cartesian product","score":0.7673983573913574},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6462903618812561},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.6363381147384644},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5770829916000366},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5768302083015442},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5758389234542847},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5499703884124756},{"id":"https://openalex.org/keywords/associative-property","display_name":"Associative property","score":0.5450390577316284},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5361514091491699},{"id":"https://openalex.org/keywords/composition","display_name":"Composition (language)","score":0.4954489469528198},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4739561080932617},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.46699419617652893},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45932552218437195},{"id":"https://openalex.org/keywords/obstacle","display_name":"Obstacle","score":0.44305604696273804},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4362891912460327},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4193047285079956},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.297788143157959},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24426212906837463},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.15616127848625183},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.15295526385307312},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.14011329412460327},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09246394038200378},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.07271376252174377}],"concepts":[{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.7673983573913574},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6462903618812561},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.6363381147384644},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5770829916000366},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5768302083015442},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5758389234542847},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5499703884124756},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.5450390577316284},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5361514091491699},{"id":"https://openalex.org/C40231798","wikidata":"https://www.wikidata.org/wiki/Q1333743","display_name":"Composition (language)","level":2,"score":0.4954489469528198},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4739561080932617},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.46699419617652893},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45932552218437195},{"id":"https://openalex.org/C2776650193","wikidata":"https://www.wikidata.org/wiki/Q264661","display_name":"Obstacle","level":2,"score":0.44305604696273804},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4362891912460327},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4193047285079956},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.297788143157959},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24426212906837463},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15616127848625183},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.15295526385307312},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.14011329412460327},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09246394038200378},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.07271376252174377},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","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},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/10991541_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/10991541_8","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:10.1.1.5.1997","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.5.1997","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.me.jhu.edu/~ncowan/Publications/./cowan_wafr04.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1515493836","https://openalex.org/W1542519172","https://openalex.org/W1555601014","https://openalex.org/W1564897360","https://openalex.org/W1979266617","https://openalex.org/W2004421076","https://openalex.org/W2027398099","https://openalex.org/W2066769138","https://openalex.org/W2076738229","https://openalex.org/W2082169608","https://openalex.org/W2102263452","https://openalex.org/W2103120971","https://openalex.org/W2127198539","https://openalex.org/W2132714442","https://openalex.org/W2165286986","https://openalex.org/W2165744968","https://openalex.org/W2170705472"],"related_works":["https://openalex.org/W2794103424","https://openalex.org/W4245435724","https://openalex.org/W1996530509","https://openalex.org/W3028317537","https://openalex.org/W2389515972","https://openalex.org/W2055301889","https://openalex.org/W3030274415","https://openalex.org/W4298270282","https://openalex.org/W68628300","https://openalex.org/W2286083169"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}