{"id":"https://openalex.org/W6907755142","doi":"https://doi.org/10.2312/sgp/sgp07/099-108","title":"Elastic Secondary Deformations by Vector Field Integration","display_name":"Elastic Secondary Deformations by Vector Field Integration","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W6907755142","doi":"https://doi.org/10.2312/sgp/sgp07/099-108"},"language":"en","primary_location":{"id":"doi:10.2312/sgp/sgp07/099-108","is_oa":true,"landing_page_url":"https://doi.org/10.2312/sgp/sgp07/099-108","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"other","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2312/sgp/sgp07/099-108","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Funck, Wolfram Von","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Funck, Wolfram Von","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Theisel, Holger","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Theisel, Holger","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Seidel, Hans-Peter","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Seidel, Hans-Peter","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":null,"topics":[],"keywords":[{"id":"https://openalex.org/keywords/deformation","display_name":"Deformation (meteorology)","score":0.6597999930381775},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5692999958992004},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.521399974822998},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.5044000148773193},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.43689998984336853},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.40389999747276306}],"concepts":[{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.6597999930381775},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5692999958992004},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.521399974822998},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.5044000148773193},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45320001244544983},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.43689998984336853},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4171999990940094},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.40389999747276306},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.39480000734329224},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.373199999332428},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3508000075817108},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.34869998693466187},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.3407000005245209},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.3176000118255615},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.29789999127388},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.2818000018596649},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.27959999442100525},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.26499998569488525}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2312/sgp/sgp07/099-108","is_oa":true,"landing_page_url":"https://doi.org/10.2312/sgp/sgp07/099-108","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.2312/sgp/sgp07/099-108","is_oa":true,"landing_page_url":"https://doi.org/10.2312/sgp/sgp07/099-108","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,101],"present":[1],"an":[2],"approach":[3,87],"for":[4,82,108],"elastic":[5,68],"secondary":[6],"deformations":[7,15],"of":[8,21,25,31,51,95,111],"shapes":[9],"described":[10],"as":[11],"triangular":[12],"meshes.":[13],"The":[14,29,86],"are":[16],"steered":[17],"by":[18],"the":[19,48,56,75,93,98],"simulation":[20,33],"a":[22,72],"low":[23],"number":[24],"simple":[26],"mass-spring":[27],"sets.":[28],"result":[30],"this":[32],"is":[34,58],"used":[35],"to":[36,60,71],"define":[37],"time-dependent":[38],"divergence-free":[39],"vector":[40],"fields":[41],"whose":[42],"numerical":[43],"path":[44],"line":[45],"integration":[46],"gives":[47],"new":[49],"location":[50],"each":[52],"vertex.":[53],"This":[54],"way":[55],"deformation":[57,76],"guaranteed":[59],"be":[61,78],"volume-preserving":[62],"and":[63,106],"without":[64],"self-intersections,":[65],"giving":[66],"plausible":[67],"deformations.":[69],"Due":[70],"GPU":[73],"implementation,":[74],"can":[77],"obtained":[79],"in":[80,92,97],"real-time":[81],"fairly":[83],"complex":[84],"shapes.":[85],"also":[88],"avoids":[89],"unwanted":[90],"intersections":[91],"case":[94],"collisions":[96],"primary":[99,112],"animation.":[100],"demonstrate":[102],"its":[103],"accuracy,":[104],"stableness":[105],"usefulness":[107],"different":[109],"kinds":[110],"animations/deformations.":[113]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
