{"id":"https://openalex.org/W2134953019","doi":"https://doi.org/10.1155/2014/189241","title":"Surface Simplification of 3D Animation Models Using Robust Homogeneous Coordinate Transformation","display_name":"Surface Simplification of 3D Animation Models Using Robust Homogeneous Coordinate Transformation","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2134953019","doi":"https://doi.org/10.1155/2014/189241","mag":"2134953019"},"language":"en","primary_location":{"id":"doi:10.1155/2014/189241","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/189241","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/189241.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/189241.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028491126","display_name":"Juin-Ling Tseng","orcid":"https://orcid.org/0000-0002-9569-8987"},"institutions":[{"id":"https://openalex.org/I143003336","display_name":"Minghsin University of Science and Technology","ror":"https://ror.org/054etzm63","country_code":"TW","type":"education","lineage":["https://openalex.org/I143003336"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Juin-Ling Tseng","raw_affiliation_strings":["Department of Computer Science and Information Engineering, Minghsin University of Science and Technology, No. 1 Xinxing Road, Xinfeng Township, Hsinchu County 304, Taiwan"],"raw_orcid":"https://orcid.org/0000-0002-9569-8987","affiliations":[{"raw_affiliation_string":"Department of Computer Science and Information Engineering, Minghsin University of Science and Technology, No. 1 Xinxing Road, Xinfeng Township, Hsinchu County 304, Taiwan","institution_ids":["https://openalex.org/I143003336"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5028491126"],"corresponding_institution_ids":["https://openalex.org/I143003336"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.7823,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.80444811,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"14"},"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":0.9975000023841858,"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/computer-science","display_name":"Computer science","score":0.7515968680381775},{"id":"https://openalex.org/keywords/animation","display_name":"Animation","score":0.7147648930549622},{"id":"https://openalex.org/keywords/quadric","display_name":"Quadric","score":0.6751213073730469},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.6163334250450134},{"id":"https://openalex.org/keywords/coordinate-system","display_name":"Coordinate system","score":0.5073372721672058},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.46544086933135986},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42796817421913147},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.4103230834007263},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3586570620536804},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26889288425445557},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.20433369278907776},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17678150534629822},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12219628691673279}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7515968680381775},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.7147648930549622},{"id":"https://openalex.org/C2779219049","wikidata":"https://www.wikidata.org/wiki/Q852117","display_name":"Quadric","level":2,"score":0.6751213073730469},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.6163334250450134},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.5073372721672058},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.46544086933135986},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42796817421913147},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.4103230834007263},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3586570620536804},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26889288425445557},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.20433369278907776},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17678150534629822},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12219628691673279},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/189241","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/189241","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/189241.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425306013","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425306013","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:189241","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/189241.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:b99e2fda379c4bab813fd96df1a1781e","is_oa":true,"landing_page_url":"https://doaj.org/article/b99e2fda379c4bab813fd96df1a1781e","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/189241","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/189241","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/189241.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2395199053","display_name":null,"funder_award_id":"NSC98-2221-E-159-019","funder_id":"https://openalex.org/F4320321040","funder_display_name":"National Science Council"},{"id":"https://openalex.org/G5487231515","display_name":null,"funder_award_id":"NSC100-","funder_id":"https://openalex.org/F4320321040","funder_display_name":"National Science Council"},{"id":"https://openalex.org/G6773975947","display_name":null,"funder_award_id":"NSC100-2622-E-159-004-CC3","funder_id":"https://openalex.org/F4320321040","funder_display_name":"National Science Council"}],"funders":[{"id":"https://openalex.org/F4320321040","display_name":"National Science Council","ror":"https://ror.org/02kv4zf79"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2134953019.pdf","grobid_xml":"https://content.openalex.org/works/W2134953019.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W258319692","https://openalex.org/W1495397408","https://openalex.org/W1561797603","https://openalex.org/W1585761972","https://openalex.org/W1638721624","https://openalex.org/W1964630269","https://openalex.org/W1965805571","https://openalex.org/W1967517359","https://openalex.org/W1977387474","https://openalex.org/W1981496290","https://openalex.org/W1992187125","https://openalex.org/W2006502673","https://openalex.org/W2011270184","https://openalex.org/W2033145735","https://openalex.org/W2035464741","https://openalex.org/W2037120864","https://openalex.org/W2063094983","https://openalex.org/W2065511180","https://openalex.org/W2077879318","https://openalex.org/W2079186587","https://openalex.org/W2082099851","https://openalex.org/W2106090252","https://openalex.org/W2121258916","https://openalex.org/W2133352215","https://openalex.org/W2141251989","https://openalex.org/W2148494333","https://openalex.org/W2167503995","https://openalex.org/W2186355895","https://openalex.org/W2235901111","https://openalex.org/W2319905291","https://openalex.org/W2337580372","https://openalex.org/W2532079857","https://openalex.org/W2642305368","https://openalex.org/W3023169168"],"related_works":["https://openalex.org/W2384882317","https://openalex.org/W2037264771","https://openalex.org/W2950567443","https://openalex.org/W2327777938","https://openalex.org/W2042243750","https://openalex.org/W2116952306","https://openalex.org/W3017621005","https://openalex.org/W1660957572","https://openalex.org/W1982642009","https://openalex.org/W2350911135"],"abstract_inverted_index":{"The":[0],"goal":[1],"of":[2,12,21,62,67,80,102,147,155],"3D":[3,13,16,23,68],"surface":[4,53],"simplification":[5,54,132,184],"is":[6],"to":[7,26,58],"reduce":[8,59],"the":[9,60,81,100,130,142,148,156,164,169,182],"storage":[10,45],"cost":[11,46,66],"models.":[14,24,69,88],"A":[15],"animation":[17,29,39,91,131],"model":[18],"typically":[19],"consists":[20],"several":[22],"Therefore,":[25],"ensure":[27],"that":[28,41,128,168],"models":[30,40,92],"are":[31,35,56],"realistic,":[32],"numerous":[33],"triangles":[34,63],"often":[36],"required.":[37],"However,":[38,105],"have":[42,47],"a":[43,48,123],"high":[44],"substantial":[49],"computational":[50,65],"cost.":[51],"Hence,":[52],"methods":[55,84],"adopted":[57],"number":[61],"and":[64,97,137,161,163],"Quadric":[70],"error":[71],"metrics":[72],"(QEM)":[73],"has":[74],"recently":[75],"been":[76],"identified":[77],"as":[78],"one":[79],"most":[82],"effective":[83],"for":[85],"simplifying":[86],"static":[87],"To":[89,116],"simplify":[90],"by":[93,113,135,159],"using":[94,114],"QEM,":[95],"Mohr":[96,136,160],"Gleicher":[98],"summed":[99],"QEM":[101],"all":[103],"frames.":[104],"homogeneous":[106,125],"coordinate":[107,126],"problems":[108],"cannot":[109],"be":[110],"considered":[111],"completely":[112],"QEM.":[115],"resolve":[117],"this":[118,120,140],"problem,":[119],"paper":[121],"proposes":[122],"robust":[124],"transformation":[127],"improves":[129],"method":[133,150,157,179],"proposed":[134,149,158,170],"Gleicher.":[138],"In":[139],"study,":[141],"root":[143],"mean":[144],"square":[145],"errors":[146],"were":[151],"compared":[152],"with":[153],"those":[154],"Gleicher,":[162],"experimental":[165],"results":[166],"indicated":[167],"approach":[171],"can":[172,180],"preserve":[173],"more":[174],"contour":[175],"features":[176],"than":[177],"Mohr\u2019s":[178],"at":[181],"same":[183],"ratio.":[185]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
