{"id":"https://openalex.org/W2087107562","doi":"https://doi.org/10.1109/isvd.2012.21","title":"Geometrical Treatment of Periodic Graphs with Coordinate System Using Axis-fiber and an Application to a Motion Planning","display_name":"Geometrical Treatment of Periodic Graphs with Coordinate System Using Axis-fiber and an Application to a Motion Planning","publication_year":2012,"publication_date":"2012-06-01","ids":{"openalex":"https://openalex.org/W2087107562","doi":"https://doi.org/10.1109/isvd.2012.21","mag":"2087107562"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/isvd.2012.21","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-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/A5025007214","display_name":"Norie Fu","orcid":null},"institutions":[{"id":"https://openalex.org/I161296585","display_name":"Tokyo University of Science","ror":"https://ror.org/05sj3n476","country_code":"JP","type":"education","lineage":["https://openalex.org/I161296585"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Norie Fu","raw_affiliation_strings":["Department of Computer Science University of Tokyo Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science University of Tokyo Tokyo, Japan","institution_ids":["https://openalex.org/I161296585"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016160586","display_name":"Akihiro Hashikura","orcid":null},"institutions":[{"id":"https://openalex.org/I161296585","display_name":"Tokyo University of Science","ror":"https://ror.org/05sj3n476","country_code":"JP","type":"education","lineage":["https://openalex.org/I161296585"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Akihiro Hashikura","raw_affiliation_strings":["Department of Computer Science University of Tokyo Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science University of Tokyo Tokyo, Japan","institution_ids":["https://openalex.org/I161296585"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071671067","display_name":"Hiroshi Imai","orcid":"https://orcid.org/0000-0002-0880-0091"},"institutions":[{"id":"https://openalex.org/I161296585","display_name":"Tokyo University of Science","ror":"https://ror.org/05sj3n476","country_code":"JP","type":"education","lineage":["https://openalex.org/I161296585"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroshi Imai","raw_affiliation_strings":["Department of Computer Science University of Tokyo Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science University of Tokyo Tokyo, Japan","institution_ids":["https://openalex.org/I161296585"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.142,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":3,"citation_normalized_percentile":{"value":0.592011,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":75,"max":78},"biblio":{"volume":null,"issue":null,"first_page":"115","last_page":"121"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9994,"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"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9994,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9941,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9926,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[],"concepts":[{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.7478386},{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.7407576},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.56062526},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.5317532},{"id":"https://openalex.org/C81074085","wikidata":"https://www.wikidata.org/wiki/Q366872","display_name":"Motion planning","level":3,"score":0.52380764},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49224606},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37494224},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34320933},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32599378},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.28405324},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2730713},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2574058},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/isvd.2012.21","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.58}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":19,"referenced_works":["https://openalex.org/W1499381650","https://openalex.org/W1544610837","https://openalex.org/W1568559654","https://openalex.org/W1988262898","https://openalex.org/W1994733652","https://openalex.org/W2000879295","https://openalex.org/W2002252837","https://openalex.org/W2007052372","https://openalex.org/W2015211922","https://openalex.org/W2027365695","https://openalex.org/W2033370626","https://openalex.org/W2038429563","https://openalex.org/W2049644851","https://openalex.org/W2065338952","https://openalex.org/W2098531153","https://openalex.org/W2098637407","https://openalex.org/W2142132729","https://openalex.org/W2158907148","https://openalex.org/W2321974945"],"related_works":["https://openalex.org/W4360958759","https://openalex.org/W3020555194","https://openalex.org/W2962797788","https://openalex.org/W288156810","https://openalex.org/W2793256277","https://openalex.org/W2389906634","https://openalex.org/W2348235448","https://openalex.org/W2116218375","https://openalex.org/W176898926","https://openalex.org/W1562406979"],"abstract_inverted_index":{"Motivated":[0],"by":[1,27,53],"an":[2],"application":[3],"to":[4],"nanotechnology,":[5],"Voronoi":[6],"diagrams":[7],"on":[8,21,39,50,69],"(\u2113":[9],"1":[12],"-embeddable)":[13],"periodic":[14,51,70],"graphs":[15,23,52,71],"and":[16,31],"a":[17,58],"motion":[18,64],"planning":[19,65],"problem":[20,66],"those":[22],"have":[24],"been":[25],"investigated":[26],"Fu,":[28],"Hashikura,":[29],"Imai":[30],"Moriyama.":[32],"In":[33],"this":[34],"paper,":[35],"through":[36],"the":[37,40,63],"investigations":[38],"coordinate":[41],"system":[42],"using":[43],"geodesic":[44],"fibers":[45],"defined":[46],"originally":[47],"as":[48],"invariants":[49],"Eon,":[54],"we":[55],"show":[56],"that":[57],"fast":[59],"geometric":[60],"algorithm":[61],"for":[62],"is":[67],"possible":[68],"with":[72],"nice":[73],"properties.":[74]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2087107562","counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2024-12-09T01:52:44.395895","created_date":"2016-06-24"}