{"id":"https://openalex.org/W1978760451","doi":"https://doi.org/10.1007/s00371-010-0422-5","title":"Cyclic animation using partial differential equations","display_name":"Cyclic animation using partial differential equations","publication_year":2010,"publication_date":"2010-02-19","ids":{"openalex":"https://openalex.org/W1978760451","doi":"https://doi.org/10.1007/s00371-010-0422-5","mag":"1978760451"},"language":"en","primary_location":{"id":"doi:10.1007/s00371-010-0422-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00371-010-0422-5","pdf_url":null,"source":{"id":"https://openalex.org/S73060445","display_name":"The Visual Computer","issn_l":"0178-2789","issn":["0178-2789","1432-2315"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Visual Computer","raw_type":"journal-article"},"type":"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/A5012129922","display_name":"Gabriela Castro","orcid":null},"institutions":[{"id":"https://openalex.org/I139894009","display_name":"University of Bradford","ror":"https://ror.org/00vs8d940","country_code":"GB","type":"education","lineage":["https://openalex.org/I139894009"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"G. Gonz\u00e1lez Castro","raw_affiliation_strings":["School of Computing, Informatics and Media, University of Bradford, Richmond Road, Bradford, BD1 5HD, UK","University of Bradford, School of Computing, Informatics and Media, Richmond Road, BD1 5HD, Bradford, UK#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing, Informatics and Media, University of Bradford, Richmond Road, Bradford, BD1 5HD, UK","institution_ids":["https://openalex.org/I139894009"]},{"raw_affiliation_string":"University of Bradford, School of Computing, Informatics and Media, Richmond Road, BD1 5HD, Bradford, UK#TAB#","institution_ids":["https://openalex.org/I139894009"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026673354","display_name":"Michael Athanasopoulos","orcid":null},"institutions":[{"id":"https://openalex.org/I139894009","display_name":"University of Bradford","ror":"https://ror.org/00vs8d940","country_code":"GB","type":"education","lineage":["https://openalex.org/I139894009"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M. Athanasopoulos","raw_affiliation_strings":["School of Computing, Informatics and Media, University of Bradford, Richmond Road, Bradford, BD1 5HD, UK","University of Bradford, School of Computing, Informatics and Media, Richmond Road, BD1 5HD, Bradford, UK#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing, Informatics and Media, University of Bradford, Richmond Road, Bradford, BD1 5HD, UK","institution_ids":["https://openalex.org/I139894009"]},{"raw_affiliation_string":"University of Bradford, School of Computing, Informatics and Media, Richmond Road, BD1 5HD, Bradford, UK#TAB#","institution_ids":["https://openalex.org/I139894009"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083781406","display_name":"Hassan Ugail","orcid":"https://orcid.org/0000-0002-3084-1797"},"institutions":[{"id":"https://openalex.org/I139894009","display_name":"University of Bradford","ror":"https://ror.org/00vs8d940","country_code":"GB","type":"education","lineage":["https://openalex.org/I139894009"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"H. Ugail","raw_affiliation_strings":["School of Computing, Informatics and Media, University of Bradford, Richmond Road, Bradford, BD1 5HD, UK","University of Bradford, School of Computing, Informatics and Media, Richmond Road, BD1 5HD, Bradford, UK#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing, Informatics and Media, University of Bradford, Richmond Road, Bradford, BD1 5HD, UK","institution_ids":["https://openalex.org/I139894009"]},{"raw_affiliation_string":"University of Bradford, School of Computing, Informatics and Media, Richmond Road, BD1 5HD, Bradford, UK#TAB#","institution_ids":["https://openalex.org/I139894009"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012129922"],"corresponding_institution_ids":["https://openalex.org/I139894009"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.646,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.92569823,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"26","issue":"5","first_page":"325","last_page":"338"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12290","display_name":"Human Motion and Animation","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12290","display_name":"Human Motion and Animation","score":0.9998999834060669,"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/T10812","display_name":"Human Pose and Action Recognition","score":0.9947999715805054,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9941999912261963,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/animation","display_name":"Animation","score":0.8729084730148315},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7268067598342896},{"id":"https://openalex.org/keywords/skeletal-animation","display_name":"Skeletal animation","score":0.6432861685752869},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5423731207847595},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.529639482498169},{"id":"https://openalex.org/keywords/computer-animation","display_name":"Computer animation","score":0.4909060597419739},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.44892120361328125},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4332998991012573},{"id":"https://openalex.org/keywords/interactive-skeleton-driven-simulation","display_name":"Interactive skeleton-driven simulation","score":0.42112958431243896},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.4207667112350464},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4017249345779419},{"id":"https://openalex.org/keywords/computer-facial-animation","display_name":"Computer facial animation","score":0.3610166609287262},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2313617765903473},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20358505845069885},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1538003385066986},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09633570909500122}],"concepts":[{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.8729084730148315},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7268067598342896},{"id":"https://openalex.org/C44710944","wikidata":"https://www.wikidata.org/wiki/Q1813564","display_name":"Skeletal animation","level":5,"score":0.6432861685752869},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5423731207847595},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.529639482498169},{"id":"https://openalex.org/C69369342","wikidata":"https://www.wikidata.org/wiki/Q1401416","display_name":"Computer animation","level":3,"score":0.4909060597419739},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.44892120361328125},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4332998991012573},{"id":"https://openalex.org/C60851780","wikidata":"https://www.wikidata.org/wiki/Q17056736","display_name":"Interactive skeleton-driven simulation","level":5,"score":0.42112958431243896},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.4207667112350464},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4017249345779419},{"id":"https://openalex.org/C138591656","wikidata":"https://www.wikidata.org/wiki/Q5157538","display_name":"Computer facial animation","level":4,"score":0.3610166609287262},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2313617765903473},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20358505845069885},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1538003385066986},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09633570909500122},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00371-010-0422-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00371-010-0422-5","pdf_url":null,"source":{"id":"https://openalex.org/S73060445","display_name":"The Visual Computer","issn_l":"0178-2789","issn":["0178-2789","1432-2315"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Visual Computer","raw_type":"journal-article"},{"id":"pmh:oai:bradscholars.brad.ac.uk:10454/4969","is_oa":false,"landing_page_url":"http://hdl.handle.net/10454/4969","pdf_url":null,"source":{"id":"https://openalex.org/S4306401846","display_name":"Bradford Scholars (University of Bradford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139894009","host_organization_name":"University of Bradford","host_organization_lineage":["https://openalex.org/I139894009"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Accepted manuscript"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life below water","score":0.4399999976158142,"id":"https://metadata.un.org/sdg/14"}],"awards":[{"id":"https://openalex.org/G3466560891","display_name":null,"funder_award_id":"EP/G067732/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W161755535","https://openalex.org/W1525770891","https://openalex.org/W1566389888","https://openalex.org/W1976507020","https://openalex.org/W1978151099","https://openalex.org/W1978476222","https://openalex.org/W1978711911","https://openalex.org/W1989871863","https://openalex.org/W2008208299","https://openalex.org/W2009262561","https://openalex.org/W2012634580","https://openalex.org/W2028952633","https://openalex.org/W2041358029","https://openalex.org/W2047563095","https://openalex.org/W2052728883","https://openalex.org/W2055849012","https://openalex.org/W2056784677","https://openalex.org/W2061380892","https://openalex.org/W2063173511","https://openalex.org/W2078445445","https://openalex.org/W2079066051","https://openalex.org/W2082211893","https://openalex.org/W2101171604","https://openalex.org/W2104480174","https://openalex.org/W2112511496","https://openalex.org/W2115463247","https://openalex.org/W2120852816","https://openalex.org/W2122698107","https://openalex.org/W2123601556","https://openalex.org/W2126732470","https://openalex.org/W2137267908","https://openalex.org/W2151632282","https://openalex.org/W2159693184","https://openalex.org/W2159804905","https://openalex.org/W2165939338","https://openalex.org/W2171165942","https://openalex.org/W2295936755","https://openalex.org/W2499641901","https://openalex.org/W3006964082","https://openalex.org/W3138581055","https://openalex.org/W4235459551"],"related_works":["https://openalex.org/W1544039745","https://openalex.org/W3094080214","https://openalex.org/W2156310872","https://openalex.org/W2121378366","https://openalex.org/W1976926596","https://openalex.org/W4210514273","https://openalex.org/W2111727515","https://openalex.org/W2999276620","https://openalex.org/W2535923857","https://openalex.org/W2356609371"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}