{"id":"https://openalex.org/W7161027202","doi":"https://doi.org/10.1111/cgf.70382","title":"Affinification: A Fine Approximation of Deformations","display_name":"Affinification: A Fine Approximation of Deformations","publication_year":2026,"publication_date":"2026-05-13","ids":{"openalex":"https://openalex.org/W7161027202","doi":"https://doi.org/10.1111/cgf.70382"},"language":"en","primary_location":{"id":"doi:10.1111/cgf.70382","is_oa":true,"landing_page_url":"https://doi.org/10.1111/cgf.70382","pdf_url":null,"source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1111/cgf.70382","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5136073215","display_name":"A. Mercier\u2010Aubin","orcid":"https://orcid.org/0000-0002-2668-8523"},"institutions":[{"id":"https://openalex.org/I135117807","display_name":"Universit\u00e9 de Sherbrooke","ror":"https://ror.org/00kybxq39","country_code":"CA","type":"education","lineage":["https://openalex.org/I135117807"]},{"id":"https://openalex.org/I9736820","display_name":"\u00c9cole de Technologie Sup\u00e9rieure","ror":"https://ror.org/0020snb74","country_code":"CA","type":"education","lineage":["https://openalex.org/I49663120","https://openalex.org/I9736820"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"A. Mercier\u2010Aubin","raw_affiliation_strings":["Universit\u00e9 de Sherbrooke  Canada","\u00c9cole de Technologie Sup\u00e9rieure  Canada"],"raw_orcid":"https://orcid.org/0000-0002-2668-8523","affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Sherbrooke  Canada","institution_ids":["https://openalex.org/I135117807"]},{"raw_affiliation_string":"\u00c9cole de Technologie Sup\u00e9rieure  Canada","institution_ids":["https://openalex.org/I9736820"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136055011","display_name":"T. Schneider","orcid":"https://orcid.org/0000-0002-5969-636X"},"institutions":[{"id":"https://openalex.org/I212119943","display_name":"University of Victoria","ror":"https://ror.org/04s5mat29","country_code":"CA","type":"education","lineage":["https://openalex.org/I212119943"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"T. Schneider","raw_affiliation_strings":["University of Victoria  Canada"],"raw_orcid":"https://orcid.org/0000-0002-5969-636X","affiliations":[{"raw_affiliation_string":"University of Victoria  Canada","institution_ids":["https://openalex.org/I212119943"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136043326","display_name":"P.G. Kry","orcid":"https://orcid.org/0000-0003-4176-6857"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"P.G. Kry","raw_affiliation_strings":["McGill University  Canada"],"raw_orcid":"https://orcid.org/0000-0003-4176-6857","affiliations":[{"raw_affiliation_string":"McGill University  Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5136028022","display_name":"S. Andrews","orcid":"https://orcid.org/0000-0001-9776-117X"},"institutions":[{"id":"https://openalex.org/I9736820","display_name":"\u00c9cole de Technologie Sup\u00e9rieure","ror":"https://ror.org/0020snb74","country_code":"CA","type":"education","lineage":["https://openalex.org/I49663120","https://openalex.org/I9736820"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"S. Andrews","raw_affiliation_strings":["\u00c9cole de Technologie Sup\u00e9rieure  Canada"],"raw_orcid":"https://orcid.org/0000-0001-9776-117X","affiliations":[{"raw_affiliation_string":"\u00c9cole de Technologie Sup\u00e9rieure  Canada","institution_ids":["https://openalex.org/I9736820"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":{"value":3710,"currency":"USD","value_usd":3710},"fwci":5.0943,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.95401847,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.7394000291824341,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.7394000291824341,"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":0.1468999981880188,"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/T12290","display_name":"Human Motion and Animation","score":0.04360000044107437,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.7003999948501587},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.6381000280380249},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.6032000184059143},{"id":"https://openalex.org/keywords/animation","display_name":"Animation","score":0.5151000022888184},{"id":"https://openalex.org/keywords/deformation","display_name":"Deformation (meteorology)","score":0.4957999885082245},{"id":"https://openalex.org/keywords/voronoi-diagram","display_name":"Voronoi diagram","score":0.376800000667572},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.36970001459121704},{"id":"https://openalex.org/keywords/resolution","display_name":"Resolution (logic)","score":0.3643999993801117}],"concepts":[{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.7003999948501587},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.6381000280380249},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6366000175476074},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6032000184059143},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.5151000022888184},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.4957999885082245},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4287000000476837},{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.376800000667572},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.36970001459121704},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.3643999993801117},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.362199991941452},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.35510000586509705},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3450999855995178},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3395000100135803},{"id":"https://openalex.org/C69369342","wikidata":"https://www.wikidata.org/wiki/Q1401416","display_name":"Computer animation","level":3,"score":0.33149999380111694},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.3190999925136566},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.2994999885559082},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2946999967098236},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.29190000891685486},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.2854999899864197},{"id":"https://openalex.org/C77660652","wikidata":"https://www.wikidata.org/wiki/Q150971","display_name":"Computer graphics","level":2,"score":0.27720001339912415},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.271699994802475},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.2671000063419342},{"id":"https://openalex.org/C3019883945","wikidata":"https://www.wikidata.org/wiki/Q210521","display_name":"Low resolution","level":3,"score":0.26019999384880066},{"id":"https://openalex.org/C205372480","wikidata":"https://www.wikidata.org/wiki/Q210521","display_name":"Image resolution","level":2,"score":0.2533000111579895}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1111/cgf.70382","is_oa":true,"landing_page_url":"https://doi.org/10.1111/cgf.70382","pdf_url":null,"source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-article"},{"id":"pmh:oai:espace2.etsmtl.ca:33776","is_oa":true,"landing_page_url":"https://espace2.etsmtl.ca/id/eprint/33776/1/Andrews-S-2026-33776.pdf","pdf_url":"https://espace2.etsmtl.ca/id/eprint/33776/1/Andrews-S-2026-33776.pdf","source":{"id":"https://openalex.org/S4306402392","display_name":"Espace \u00c9TS (ETS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1341030882","host_organization_name":"Educational Testing Service","host_organization_lineage":["https://openalex.org/I1341030882"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article publi\u00e9 dans une revue, r\u00e9vis\u00e9 par les pairs"}],"best_oa_location":{"id":"doi:10.1111/cgf.70382","is_oa":true,"landing_page_url":"https://doi.org/10.1111/cgf.70382","pdf_url":null,"source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4707902423","display_name":"Automated Geometric Modeling and Analysis","funder_award_id":"rgpin-2021-03707","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G5728128677","display_name":"Automated Geometric Modeling and Analysis","funder_award_id":"dgecr-2021-00461","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320331257","display_name":"Alliance de recherche num\u00e9rique du Canada","ror":"https://ror.org/010r6td27"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320334841","display_name":"Fonds de recherche du Qu\u00e9bec \u2013 Nature et technologies","ror":"https://ror.org/00b9f9778"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1956267414","https://openalex.org/W1967152690","https://openalex.org/W2011131260","https://openalex.org/W2016726807","https://openalex.org/W2025677618","https://openalex.org/W2036804625","https://openalex.org/W2063189491","https://openalex.org/W2075605912","https://openalex.org/W2144909146","https://openalex.org/W2235036220","https://openalex.org/W2266792637","https://openalex.org/W2327578698","https://openalex.org/W2767118395","https://openalex.org/W2791693147","https://openalex.org/W2963220377","https://openalex.org/W2963350801","https://openalex.org/W2964994311","https://openalex.org/W3178714617","https://openalex.org/W4286611167","https://openalex.org/W4286616145","https://openalex.org/W4293102147","https://openalex.org/W4311802607","https://openalex.org/W4385276691","https://openalex.org/W4386141973","https://openalex.org/W4403498089","https://openalex.org/W4404527384","https://openalex.org/W4412673701","https://openalex.org/W6945225155"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"We":[1,50,82],"introduce":[2],"affinification,":[3],"a":[4,15,52],"novel":[5],"method":[6,19,55,85],"for":[7,69],"accelerating":[8],"physics\u2010based":[9],"animation":[10],"of":[11,47,76,110],"elastic":[12,27,104],"solids.":[13],"During":[14],"time\u2010dependent":[16],"simulation,":[17],"our":[18,84],"automatically":[20],"partitions":[21],"the":[22,31,74,87],"space":[23],"into":[24],"affine":[25],"and":[26,65,73,95],"regions":[28,46],"depending":[29],"on":[30,57,79],"deformation.":[32],"As":[33],"such,":[34],"we":[35],"capture":[36,61],"localized":[37],"deformations":[38],"while":[39,106],"significantly":[40],"reducing":[41],"computational":[42],"costs":[43],"with":[44,86,93],"larger":[45],"model":[48],"reduction.":[49],"design":[51],"new":[53],"clustering":[54],"based":[56],"deformation":[58],"rates":[59],"to":[60,99,103],"affinely":[62],"deforming":[63],"regions,":[64],"explore":[66],"multiple":[67],"heuristics":[68],"seeding,":[70],"pattern":[71],"generation,":[72],"impact":[75],"physical":[77],"parameters":[78],"coarsened":[80],"regions.":[81],"compare":[83],"ground":[88],"truth,":[89],"showing":[90],"performance":[91],"increasing":[92],"resolution":[94],"recorded":[96],"simulations":[97],"up":[98],"17\u00d7":[100],"faster":[101],"compared":[102],"simulations,":[105],"retaining":[107],"similar":[108],"levels":[109],"visual":[111],"fidelity.":[112]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2026-05-14T00:00:00"}
