{"id":"https://openalex.org/W2098139935","doi":"https://doi.org/10.1109/icsmc.2004.1401233","title":"Spatial rational motions based on rational frenet-serret curves","display_name":"Spatial rational motions based on rational frenet-serret curves","publication_year":2005,"publication_date":"2005-04-06","ids":{"openalex":"https://openalex.org/W2098139935","doi":"https://doi.org/10.1109/icsmc.2004.1401233","mag":"2098139935"},"language":"en","primary_location":{"id":"doi:10.1109/icsmc.2004.1401233","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2004.1401233","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 IEEE International Conference on Systems, Man and Cybernetics (IEEE Cat. No.04CH37583)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5112267926","display_name":"Reza Ravani","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R. Ravani","raw_affiliation_strings":["Department of Computer Engineering Science & Research Campus, Islamic Azad University\uc2a0, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering Science & Research Campus, Islamic Azad University\uc2a0, Tehran, Iran","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062264960","display_name":"Ali Meghdari","orcid":"https://orcid.org/0000-0001-6009-3825"},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"A. Meghdari","raw_affiliation_strings":["Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.3426,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.86941581,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"5","issue":null,"first_page":"4456","last_page":"4461"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.961899995803833,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9563000202178955,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/frenet\u2013serret-formulas","display_name":"Frenet\u2013Serret formulas","score":0.9767903089523315},{"id":"https://openalex.org/keywords/kinematics","display_name":"Kinematics","score":0.5388128161430359},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.5006897449493408},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.482452929019928},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.47508469223976135},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4645198583602905},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.4444460868835449},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4207044243812561},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4047001898288727},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.37633681297302246},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3061144948005676},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.29192817211151123},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.22234538197517395},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13894450664520264}],"concepts":[{"id":"https://openalex.org/C162546045","wikidata":"https://www.wikidata.org/wiki/Q947922","display_name":"Frenet\u2013Serret formulas","level":3,"score":0.9767903089523315},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.5388128161430359},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.5006897449493408},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.482452929019928},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.47508469223976135},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4645198583602905},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.4444460868835449},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4207044243812561},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4047001898288727},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37633681297302246},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3061144948005676},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.29192817211151123},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.22234538197517395},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13894450664520264},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icsmc.2004.1401233","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2004.1401233","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 IEEE International Conference on Systems, Man and Cybernetics (IEEE Cat. No.04CH37583)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.44999998807907104,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320332564","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1497953019","https://openalex.org/W1970439956","https://openalex.org/W1982520234","https://openalex.org/W2015548770","https://openalex.org/W2024715780","https://openalex.org/W2032070022","https://openalex.org/W2053578036","https://openalex.org/W2067265645","https://openalex.org/W2089358519","https://openalex.org/W2090738717","https://openalex.org/W2142179155","https://openalex.org/W2147774191","https://openalex.org/W2150526134","https://openalex.org/W2301618816","https://openalex.org/W4241187624","https://openalex.org/W6697766018"],"related_works":["https://openalex.org/W2609788161","https://openalex.org/W2890994448","https://openalex.org/W4312766700","https://openalex.org/W1967787111","https://openalex.org/W1998010028","https://openalex.org/W2361423042","https://openalex.org/W2998181671","https://openalex.org/W1988421411","https://openalex.org/W4312095783","https://openalex.org/W2312424048"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,11,44,66,78,106],"This":[3],"work":[4],"is":[5,70],"to":[6,26],"demonstrate":[7],"that":[8,63],"the":[9,61,64],"techniques":[10],"computer":[12,28],"aided":[13],"geometric":[14],"design":[15],"such":[16],"as":[17],"spatial":[18,53,91],"rational":[19,45,48,54,82],"curves":[20,46,51,58],"and":[21,30,95,102],"surfaces":[22],"could":[23],"be":[24],"applied":[25],"kinematics,":[27],"animation":[29],"robotics.":[31],"For":[32],"this":[33],"purpose":[34],"we":[35,86,100],"represent":[36],"a":[37,41,81],"method":[38],"which":[39],"utilizes":[40],"special":[42],"class":[43],"called":[47],"frenet-serret":[49,68,83],"(RF)":[50],"for":[52,76,104],"motion":[55,65],"design.":[56],"RF":[57,111],"distinguished":[59],"by":[60,80],"property":[62],"their":[67],"frame":[69,94],"rational.":[71],"We":[72],"describe":[73],"an":[74,88],"algorithm":[75,103],"interpolation":[77],"positions":[79],"motion.":[84],"Furthermore":[85],"provide":[87],"analysis":[89],"on":[90,110],"frames":[92,109],"(frenet-serret":[93],"rotation":[96,107],"minimizing":[97,108],"frame).":[98],"Also":[99],"derive":[101],"computation":[105],"curves.":[112]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
