{"id":"https://openalex.org/W2969334509","doi":"https://doi.org/10.2312/exp.20191080","title":"Abstract Shape Synthesis From Linear Combinations of Clelia Curves","display_name":"Abstract Shape Synthesis From Linear Combinations of Clelia Curves","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2969334509","doi":"https://doi.org/10.2312/exp.20191080","mag":"2969334509"},"language":"en","primary_location":{"id":"pmh:oai:eprints.gold.ac.uk:27622","is_oa":true,"landing_page_url":null,"pdf_url":"https://research.gold.ac.uk/id/eprint/27622/1/cleliaCurvesExp19rev.pdf","source":{"id":"https://openalex.org/S4306400496","display_name":"Goldsmiths (University of London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I166337079","host_organization_name":"Queen Mary University of London","host_organization_lineage":["https://openalex.org/I166337079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference or Workshop Item"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.gold.ac.uk/id/eprint/27622/1/cleliaCurvesExp19rev.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Putnam, Lance","orcid":null},"institutions":[{"id":"https://openalex.org/I124357947","display_name":"University of London","ror":"https://ror.org/04cw6st05","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Putnam, Lance","raw_affiliation_strings":["Univ. of London (United Kingdom)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. of London (United Kingdom)","institution_ids":["https://openalex.org/I124357947"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047921537","display_name":"Stephen Todd","orcid":null},"institutions":[{"id":"https://openalex.org/I124357947","display_name":"University of London","ror":"https://ror.org/04cw6st05","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Todd, Stephen","raw_affiliation_strings":["Univ. of London (United Kingdom)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. of London (United Kingdom)","institution_ids":["https://openalex.org/I124357947"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109806428","display_name":"William Latham","orcid":"https://orcid.org/0000-0002-8430-222X"},"institutions":[{"id":"https://openalex.org/I124357947","display_name":"University of London","ror":"https://ror.org/04cw6st05","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Latham, William","raw_affiliation_strings":["Univ. of London (United Kingdom)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. of London (United Kingdom)","institution_ids":["https://openalex.org/I124357947"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.09647791,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"87","last_page":"99"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9890000224113464,"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":0.9890000224113464,"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":0.9854000210762024,"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/homogeneous-space","display_name":"Homogeneous space","score":0.730222225189209},{"id":"https://openalex.org/keywords/trigonometry","display_name":"Trigonometry","score":0.5617443323135376},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.500823974609375},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.4666694700717926},{"id":"https://openalex.org/keywords/shape-analysis","display_name":"Shape analysis (program analysis)","score":0.454316109418869},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.43483367562294006},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4157925248146057},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40629756450653076},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3684021830558777},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.356008380651474},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3340645730495453},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32808589935302734},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22612041234970093},{"id":"https://openalex.org/keywords/static-analysis","display_name":"Static analysis","score":0.08054989576339722}],"concepts":[{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.730222225189209},{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"score":0.5617443323135376},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.500823974609375},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.4666694700717926},{"id":"https://openalex.org/C112604564","wikidata":"https://www.wikidata.org/wiki/Q7489226","display_name":"Shape analysis (program analysis)","level":3,"score":0.454316109418869},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.43483367562294006},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4157925248146057},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40629756450653076},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3684021830558777},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.356008380651474},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3340645730495453},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32808589935302734},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22612041234970093},{"id":"https://openalex.org/C97686452","wikidata":"https://www.wikidata.org/wiki/Q7604153","display_name":"Static analysis","level":2,"score":0.08054989576339722},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:eprints.gold.ac.uk:27622","is_oa":true,"landing_page_url":null,"pdf_url":"https://research.gold.ac.uk/id/eprint/27622/1/cleliaCurvesExp19rev.pdf","source":{"id":"https://openalex.org/S4306400496","display_name":"Goldsmiths (University of London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I166337079","host_organization_name":"Queen Mary University of London","host_organization_lineage":["https://openalex.org/I166337079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference or Workshop Item"},{"id":"doi:10.2312/exp.20191080","is_oa":true,"landing_page_url":"https://doi.org/10.2312/exp.20191080","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-journal"},{"id":"mag:2969334509","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/conf/expressive/expressive2019.html#PutnamTL19","pdf_url":null,"source":{"id":"https://openalex.org/S4306420626","display_name":"Non-Photorealistic Animation and Rendering","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":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Non-Photorealistic Animation and Rendering","raw_type":null}],"best_oa_location":{"id":"pmh:oai:eprints.gold.ac.uk:27622","is_oa":true,"landing_page_url":null,"pdf_url":"https://research.gold.ac.uk/id/eprint/27622/1/cleliaCurvesExp19rev.pdf","source":{"id":"https://openalex.org/S4306400496","display_name":"Goldsmiths (University of London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I166337079","host_organization_name":"Queen Mary University of London","host_organization_lineage":["https://openalex.org/I166337079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference or Workshop Item"},"sustainable_development_goals":[{"score":0.44999998807907104,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G7479391602","display_name":null,"funder_award_id":"EP/M023265/1","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":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2969334509.pdf","grobid_xml":"https://content.openalex.org/works/W2969334509.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W174515765","https://openalex.org/W1737976567","https://openalex.org/W16017336","https://openalex.org/W3184352571","https://openalex.org/W1507625889","https://openalex.org/W2052681170","https://openalex.org/W2126794747","https://openalex.org/W990965147","https://openalex.org/W2005461971","https://openalex.org/W2497483901","https://openalex.org/W626253255","https://openalex.org/W1547325715","https://openalex.org/W2063816122","https://openalex.org/W2883019049","https://openalex.org/W2465997416","https://openalex.org/W3098161561","https://openalex.org/W1505728031","https://openalex.org/W2744819746","https://openalex.org/W2776166983","https://openalex.org/W2119340547"],"abstract_inverted_index":{"This":[0,102],"article":[1],"outlines":[2],"several":[3],"families":[4,40,96],"of":[5,15,33,41,97,105,122,131],"shapes":[6,34,42,98],"that":[7,27,47],"can":[8,115],"be":[9,116],"produced":[10],"from":[11,44],"a":[12,24,30,49,128],"linear":[13],"combination":[14],"Clelia":[16],"curves.":[17],"We":[18,78],"present":[19],"parameters":[20],"required":[21],"to":[22,54,69,107,118],"generate":[23],"single":[25],"curve":[26],"traces":[28],"out":[29],"large":[31],"variety":[32],"with":[35,71],"controllable":[36],"axial":[37],"symmetries.":[38,101],"Several":[39],"emerge":[43],"the":[45,56,73,113],"equation":[46],"provide":[48],"productive":[50],"means":[51],"by":[52],"which":[53],"explore":[55],"parameter":[57],"space.":[58],"The":[59],"mathematics":[60],"involves":[61],"only":[62,72],"arithmetic":[63],"and":[64,89,110],"trigonometry":[65],"making":[66],"it":[67],"accessible":[68],"those":[70,137],"most":[74],"basic":[75,83],"mathematical":[76],"background.":[77],"outline":[79],"formulas":[80],"for":[81,133],"producing":[82],"shapes,":[84],"such":[85],"as":[86,91,93,112],"cones,":[87],"cylinders,":[88],"tori,":[90],"well":[92],"more":[94],"complex":[95],"having":[99],"non-trivial":[100],"work":[103],"is":[104],"interest":[106],"computational":[108],"artists":[109],"designers":[111],"curves":[114],"constrained":[117],"exhibit":[119],"specific":[120],"types":[121],"shape":[123],"motifs":[124],"while":[125],"still":[126],"permitting":[127],"liberal":[129],"amount":[130],"room":[132],"exploring":[134],"variations":[135],"on":[136],"shapes.":[138]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}