{"id":"https://openalex.org/W1030513622","doi":"https://doi.org/10.1007/978-3-319-16595-0_7","title":"Computing Large Convex Regions of Obstacle-Free Space Through Semidefinite Programming","display_name":"Computing Large Convex Regions of Obstacle-Free Space Through Semidefinite Programming","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W1030513622","doi":"https://doi.org/10.1007/978-3-319-16595-0_7","mag":"1030513622"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-16595-0_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-16595-0_7","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/A5036513591","display_name":"Robin Deits","orcid":null},"institutions":[{"id":"https://openalex.org/I4405258931","display_name":"MIT Computer Science and Artificial Intelligence Laboratory","ror":"https://ror.org/01e85r662","country_code":"US","type":"facility","lineage":["https://openalex.org/I4405258931","https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Robin Deits","raw_affiliation_strings":["MIT Computer Science and Artificial Intelligence Laboratory, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MIT Computer Science and Artificial Intelligence Laboratory, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4405258931"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074291890","display_name":"Russ Tedrake","orcid":null},"institutions":[{"id":"https://openalex.org/I4405258931","display_name":"MIT Computer Science and Artificial Intelligence Laboratory","ror":"https://ror.org/01e85r662","country_code":"US","type":"facility","lineage":["https://openalex.org/I4405258931","https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Russ Tedrake","raw_affiliation_strings":["MIT Computer Science and Artificial Intelligence Laboratory, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MIT Computer Science and Artificial Intelligence Laboratory, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4405258931"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5036513591"],"corresponding_institution_ids":["https://openalex.org/I4405258931"],"apc_list":null,"apc_paid":null,"fwci":41.4752,"has_fulltext":false,"cited_by_count":241,"citation_normalized_percentile":{"value":0.99937028,"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":"109","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9990000128746033,"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":0.9990000128746033,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9977999925613403,"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"}},{"id":"https://openalex.org/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/hyperplane","display_name":"Hyperplane","score":0.7805262804031372},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.6191522479057312},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5137602090835571},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.5064929723739624},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.4996023178100586},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.49507251381874084},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4466952979564667},{"id":"https://openalex.org/keywords/obstacle","display_name":"Obstacle","score":0.442952036857605},{"id":"https://openalex.org/keywords/ellipsoid-method","display_name":"Ellipsoid method","score":0.43733111023902893},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.41739973425865173},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3921849727630615},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.38595107197761536},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3369435667991638},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2856614589691162},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.25291723012924194},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09950205683708191}],"concepts":[{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.7805262804031372},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.6191522479057312},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5137602090835571},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.5064929723739624},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.4996023178100586},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.49507251381874084},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4466952979564667},{"id":"https://openalex.org/C2776650193","wikidata":"https://www.wikidata.org/wiki/Q264661","display_name":"Obstacle","level":2,"score":0.442952036857605},{"id":"https://openalex.org/C205451395","wikidata":"https://www.wikidata.org/wiki/Q378574","display_name":"Ellipsoid method","level":5,"score":0.43733111023902893},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.41739973425865173},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3921849727630615},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.38595107197761536},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3369435667991638},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2856614589691162},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.25291723012924194},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09950205683708191},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-319-16595-0_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-16595-0_7","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:10.1.1.716.7266","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.716.7266","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://robot.cmpe.boun.edu.tr/wafr2014/papers/paper_56.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1516488188","https://openalex.org/W1566622904","https://openalex.org/W1568307856","https://openalex.org/W1587300904","https://openalex.org/W1589421353","https://openalex.org/W1972993610","https://openalex.org/W1976378994","https://openalex.org/W2043510487","https://openalex.org/W2055356142","https://openalex.org/W2061626909","https://openalex.org/W2075665712","https://openalex.org/W2096180124","https://openalex.org/W2104846262","https://openalex.org/W2108865768","https://openalex.org/W2133989630","https://openalex.org/W2138022941","https://openalex.org/W2150500908","https://openalex.org/W2296319761","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W2904651664","https://openalex.org/W4301080540","https://openalex.org/W4288640859","https://openalex.org/W2910483300","https://openalex.org/W868123585","https://openalex.org/W3204036718","https://openalex.org/W2300145982","https://openalex.org/W2578380588","https://openalex.org/W2375652826","https://openalex.org/W2363904277"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":16},{"year":2025,"cited_by_count":39},{"year":2024,"cited_by_count":29},{"year":2023,"cited_by_count":25},{"year":2022,"cited_by_count":25},{"year":2021,"cited_by_count":18},{"year":2020,"cited_by_count":16},{"year":2019,"cited_by_count":19},{"year":2018,"cited_by_count":14},{"year":2017,"cited_by_count":21},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":4}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
