{"id":"https://openalex.org/W2080351606","doi":"https://doi.org/10.1111/1467-8659.1530143","title":"Blob Metamorphosis based on Minkowski Sums","display_name":"Blob Metamorphosis based on Minkowski Sums","publication_year":1996,"publication_date":"1996-08-01","ids":{"openalex":"https://openalex.org/W2080351606","doi":"https://doi.org/10.1111/1467-8659.1530143","mag":"2080351606"},"language":"en","primary_location":{"id":"doi:10.1111/1467-8659.1530143","is_oa":false,"landing_page_url":"https://doi.org/10.1111/1467-8659.1530143","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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063554682","display_name":"\u00c9ric Galin","orcid":"https://orcid.org/0000-0002-5946-4112"},"institutions":[{"id":"https://openalex.org/I112936343","display_name":"\u00c9cole Centrale de Lyon","ror":"https://ror.org/05s6rge65","country_code":"FR","type":"education","lineage":["https://openalex.org/I112936343","https://openalex.org/I203339264"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"E. Galin","raw_affiliation_strings":["Laboratoire d'Informatique Graphique Image et Mode\u0301lisation Ecole Centrale de Lyon B.P. 163, 69131 Ecully Cedex e-mail: galin@cc.ec-lyon.fr, samir@cc.ec-lyon.fr","Laboratoire d'Informatique Graphique Image et Mod\u00e9lisation Ecole Centrale de Lyon B.P. 163, 69131 Ecully Cedex e\u2010mail: galin@cc.ec\u2010lyon.fr, samir@cc.ec\u2010lyon.fr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique Graphique Image et Mode\u0301lisation Ecole Centrale de Lyon B.P. 163, 69131 Ecully Cedex e-mail: galin@cc.ec-lyon.fr, samir@cc.ec-lyon.fr","institution_ids":["https://openalex.org/I112936343"]},{"raw_affiliation_string":"Laboratoire d'Informatique Graphique Image et Mod\u00e9lisation Ecole Centrale de Lyon B.P. 163, 69131 Ecully Cedex e\u2010mail: galin@cc.ec\u2010lyon.fr, samir@cc.ec\u2010lyon.fr","institution_ids":["https://openalex.org/I112936343"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5107874338","display_name":"Samir Akkouche","orcid":null},"institutions":[{"id":"https://openalex.org/I112936343","display_name":"\u00c9cole Centrale de Lyon","ror":"https://ror.org/05s6rge65","country_code":"FR","type":"education","lineage":["https://openalex.org/I112936343","https://openalex.org/I203339264"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"S. Akkouche","raw_affiliation_strings":["Laboratoire d'Informatique Graphique Image et Mode\u0301lisation Ecole Centrale de Lyon B.P. 163, 69131 Ecully Cedex e-mail: galin@cc.ec-lyon.fr, samir@cc.ec-lyon.fr","Laboratoire d'Informatique Graphique Image et Mod\u00e9lisation Ecole Centrale de Lyon B.P. 163, 69131 Ecully Cedex e\u2010mail: galin@cc.ec\u2010lyon.fr, samir@cc.ec\u2010lyon.fr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique Graphique Image et Mode\u0301lisation Ecole Centrale de Lyon B.P. 163, 69131 Ecully Cedex e-mail: galin@cc.ec-lyon.fr, samir@cc.ec-lyon.fr","institution_ids":["https://openalex.org/I112936343"]},{"raw_affiliation_string":"Laboratoire d'Informatique Graphique Image et Mod\u00e9lisation Ecole Centrale de Lyon B.P. 163, 69131 Ecully Cedex e\u2010mail: galin@cc.ec\u2010lyon.fr, samir@cc.ec\u2010lyon.fr","institution_ids":["https://openalex.org/I112936343"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5063554682","https://openalex.org/A5107874338"],"corresponding_institution_ids":["https://openalex.org/I112936343"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":null,"fwci":3.1336,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.92212389,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"15","issue":"3","first_page":"143","last_page":"153"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9995999932289124,"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":0.9991000294685364,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9965999722480774,"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/minkowski-addition","display_name":"Minkowski addition","score":0.5513857007026672},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5241432785987854},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.482481986284256},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.45466652512550354},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.4412010610103607},{"id":"https://openalex.org/keywords/minkowski-space","display_name":"Minkowski space","score":0.438281774520874},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.4250544309616089},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.41588959097862244},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39971989393234253},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34638798236846924},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20887210965156555},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1901542842388153},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.18205925822257996}],"concepts":[{"id":"https://openalex.org/C10233890","wikidata":"https://www.wikidata.org/wiki/Q1322294","display_name":"Minkowski addition","level":3,"score":0.5513857007026672},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5241432785987854},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.482481986284256},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.45466652512550354},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.4412010610103607},{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.438281774520874},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.4250544309616089},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.41588959097862244},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39971989393234253},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34638798236846924},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20887210965156555},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1901542842388153},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.18205925822257996}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1111/1467-8659.1530143","is_oa":false,"landing_page_url":"https://doi.org/10.1111/1467-8659.1530143","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.6499999761581421,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W100413909","https://openalex.org/W1566889779","https://openalex.org/W1982773511","https://openalex.org/W1986737903","https://openalex.org/W2030097401","https://openalex.org/W2052959391","https://openalex.org/W2108142674","https://openalex.org/W2123855817","https://openalex.org/W2148768866","https://openalex.org/W2164741953","https://openalex.org/W2624055134","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2286777929","https://openalex.org/W2950428426","https://openalex.org/W4293050169","https://openalex.org/W960999769","https://openalex.org/W4309277470","https://openalex.org/W2936973291","https://openalex.org/W4288372977","https://openalex.org/W4211088175","https://openalex.org/W4313413682","https://openalex.org/W1992584347"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"addresses":[3],"the":[4,33,36,50,56,67,74,82,176,179,205],"metamorphosis":[5,130],"of":[6,32,47,66,69,76,92,102,157,163,175,191],"soft":[7,138],"objects":[8],"built":[9],"from":[10,154],"skeletons.":[11],"We":[12,116,210],"propose":[13,96,196],"a":[14,40,44,90,99,127,151,155,199],"new":[15],"approach":[16],"that":[17,55,118,149,171],"may":[18],"be":[19],"split":[20],"into":[21],"three":[22],"steps.":[23],"The":[24],"first":[25],"step":[26],"consists":[27],"in":[28,140,217],"an":[29,188,218],"original":[30],"splitting":[31],"initial":[34,177],"and":[35,62,85,95,105,113,178,207,213],"final":[37,180],"shapes":[38,181,185],"with":[39,198],"view":[41,200],"to":[42,72,97,110,125,160,201],"creating":[43],"bijective":[45],"graph":[46],"correspondence.":[48],"In":[49],"second":[51],"step,":[52],"we":[53,80,88,119,143,168,195],"assume":[54],"skeletons":[57,75],"are":[58,134],"convex":[59,158,164],"polygonal":[60,165],"shapes,":[61],"thus":[63],"take":[64],"advantage":[65],"properties":[68],"Minkowski":[70],"sums":[71],"characterize":[73,81],"intermediate":[77,83,184,192],"shapes.":[78,166],"Eventually,":[79,167],"distance":[84,104],"field":[86,106],"functions;":[87],"describe":[89],"set":[91,156],"interpolation":[93],"methods":[94],"use":[98],"restricted":[100],"class":[101],"parametrized":[103],"functions":[107],"so":[108],"as":[109],"preserve":[111],"coherence":[112,203],"speed\u2010up":[114],"computations.":[115,209],"show":[117],"can":[120],"easily":[121],"extend":[122],"those":[123],"results":[124],"achieve":[126],"B\u00e9zier":[128,152],"like":[129],"where":[131],"control":[132,137],"points":[133],"replaced":[135],"by":[136],"objects;":[139],"this":[141],"scope,":[142],"have":[144,211],"adapted":[145],"existing":[146],"accelerated":[147],"techniques":[148,216],"build":[150],"transformation":[153,206],"polyhedra":[159],"any":[161],"kind":[162],"point":[169],"out":[170],"matching":[172],"all":[173],"components":[174],"generates":[182],"amorphous":[183],"based":[186],"on":[187],"overwhelming":[189],"number":[190],"sub\u2010components.":[193],"Thus,":[194],"heuristics":[197],"preserving":[202],"during":[204],"accelerating":[208],"implemented":[212],"tested":[214],"our":[215],"experimental":[219],"ray\u2010tracer.":[220]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-09T15:46:55.921056","created_date":"2025-10-10T00:00:00"}