{"id":"https://openalex.org/W2038596354","doi":"https://doi.org/10.1155/2014/124240","title":"Properties of Generalized Offset Curves and Surfaces","display_name":"Properties of Generalized Offset Curves and Surfaces","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2038596354","doi":"https://doi.org/10.1155/2014/124240","mag":"2038596354"},"language":"en","primary_location":{"id":"doi:10.1155/2014/124240","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/124240","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/124240.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/124240.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071473475","display_name":"Xuejuan Chen","orcid":"https://orcid.org/0000-0002-2054-5898"},"institutions":[{"id":"https://openalex.org/I161346416","display_name":"Jimei University","ror":"https://ror.org/03hknyb50","country_code":"CN","type":"education","lineage":["https://openalex.org/I161346416"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xuejuan Chen","raw_affiliation_strings":["School of Science, Jimei University, Xiamen 361021, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Jimei University, Xiamen 361021, China","institution_ids":["https://openalex.org/I161346416"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023320871","display_name":"Qun Lin","orcid":"https://orcid.org/0000-0003-0209-6424"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qun Lin","raw_affiliation_strings":["School of Mathematical Science, Xiamen University, Xiamen 361005, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Xiamen University, Xiamen 361005, China","institution_ids":["https://openalex.org/I191208505"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5071473475"],"corresponding_institution_ids":["https://openalex.org/I161346416"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.6437,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.697114,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"13"},"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/T14270","display_name":"Simulation and Modeling Applications","score":0.9821000099182129,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9817000031471252,"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/offset","display_name":"Offset (computer science)","score":0.8856448531150818},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5672650933265686},{"id":"https://openalex.org/keywords/coordinate-system","display_name":"Coordinate system","score":0.48385775089263916},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4173855781555176},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.37175652384757996},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3551172614097595},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33300185203552246},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.32355040311813354},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12107807397842407}],"concepts":[{"id":"https://openalex.org/C175291020","wikidata":"https://www.wikidata.org/wiki/Q1156822","display_name":"Offset (computer science)","level":2,"score":0.8856448531150818},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5672650933265686},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.48385775089263916},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4173855781555176},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.37175652384757996},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3551172614097595},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33300185203552246},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.32355040311813354},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12107807397842407},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/124240","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/124240","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/124240.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425305781","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425305781","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:124240","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/124240.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:a616ee13bb004c08b4ce9e16cd70528e","is_oa":true,"landing_page_url":"https://doaj.org/article/a616ee13bb004c08b4ce9e16cd70528e","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/124240","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/124240","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/124240.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3383301141","display_name":null,"funder_award_id":"2012J01013","funder_id":"https://openalex.org/F4320321878","funder_display_name":"Natural Science Foundation of Fujian Province"},{"id":"https://openalex.org/G8186973989","display_name":null,"funder_award_id":"2012J01013","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321878","display_name":"Natural Science Foundation of Fujian Province","ror":null},{"id":"https://openalex.org/F4320325565","display_name":"Jimei University","ror":"https://ror.org/03hknyb50"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2038596354.pdf","grobid_xml":"https://content.openalex.org/works/W2038596354.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1559070872","https://openalex.org/W1973448303","https://openalex.org/W1977395304","https://openalex.org/W1978242738","https://openalex.org/W1988973985","https://openalex.org/W1994213088","https://openalex.org/W1997387407","https://openalex.org/W2054362135","https://openalex.org/W2082126501","https://openalex.org/W2093207728","https://openalex.org/W2150526134","https://openalex.org/W2172185414","https://openalex.org/W2176605689","https://openalex.org/W2228848140","https://openalex.org/W3155718058"],"related_works":["https://openalex.org/W2017572878","https://openalex.org/W3022853057","https://openalex.org/W3012161390","https://openalex.org/W3213349779","https://openalex.org/W2384394297","https://openalex.org/W2377728464","https://openalex.org/W4388308858","https://openalex.org/W2390006007","https://openalex.org/W2366322774","https://openalex.org/W2046645015"],"abstract_inverted_index":{"This":[0],"paper":[1,79],"proposes":[2],"a":[3],"definition":[4],"of":[5,35,47,72],"generalized":[6,36,48,56,73],"offsets":[7,37,49],"for":[8,86],"curves":[9],"and":[10,18,33,43],"surfaces,":[11],"which":[12],"have":[13],"the":[14,22,44,55,59,70,84,91],"variable":[15],"offset":[16,57],"distance":[17],"direction,":[19],"by":[20,53],"using":[21],"local":[23],"coordinate":[24],"system.":[25],"Based":[26],"on":[27,89],"this":[28,78],"definition,":[29],"some":[30],"analytic":[31],"properties":[32],"theorems":[34],"are":[38,50,64],"put":[39],"forward.":[40],"The":[41,75],"regularity":[42],"topological":[45],"property":[46],"simply":[51],"given":[52],"representing":[54],"as":[58,66,83],"standard":[60,92],"offset.":[61,93],"Some":[62],"examples":[63],"provided":[65],"well":[67],"to":[68],"show":[69],"applications":[71],"offsets.":[74],"conclusions":[76],"in":[77],"can":[80],"be":[81],"taken":[82],"foundation":[85],"further":[87],"study":[88],"extending":[90]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
