{"id":"https://openalex.org/W2079992687","doi":"https://doi.org/10.1109/smi.2008.4547960","title":"Surface representations using blossoms and buds","display_name":"Surface representations using blossoms and buds","publication_year":2008,"publication_date":"2008-06-01","ids":{"openalex":"https://openalex.org/W2079992687","doi":"https://doi.org/10.1109/smi.2008.4547960","mag":"2079992687"},"language":"en","primary_location":{"id":"doi:10.1109/smi.2008.4547960","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smi.2008.4547960","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Conference on Shape Modeling and Applications","raw_type":"proceedings-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/A5022634099","display_name":"Lim Yohanes Stefanus","orcid":"https://orcid.org/0000-0002-1274-3966"},"institutions":[{"id":"https://openalex.org/I29617571","display_name":"University of Indonesia","ror":"https://ror.org/0116zj450","country_code":"ID","type":"education","lineage":["https://openalex.org/I29617571"]}],"countries":["ID"],"is_corresponding":true,"raw_author_name":"L. Yohanes Stefanus","raw_affiliation_strings":["Faculty of Computer Science, University of Indonesia, Depok, Indonesia","Fac. of Comput. Sci., Univ. of Indonesia, Depok"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, University of Indonesia, Depok, Indonesia","institution_ids":["https://openalex.org/I29617571"]},{"raw_affiliation_string":"Fac. of Comput. Sci., Univ. of Indonesia, Depok","institution_ids":["https://openalex.org/I29617571"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5022634099"],"corresponding_institution_ids":["https://openalex.org/I29617571"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1493547,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"20","issue":null,"first_page":"139","last_page":"145"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998000264167786,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998000264167786,"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9916999936103821,"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/bivariate-analysis","display_name":"Bivariate analysis","score":0.7255138158798218},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6307519674301147},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6224653720855713},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5905380249023438},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5568074584007263},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.5450135469436646},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5243337750434875},{"id":"https://openalex.org/keywords/degree-of-a-polynomial","display_name":"Degree of a polynomial","score":0.47155094146728516},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.47021201252937317},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44401615858078003},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4263652265071869},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.41595587134361267},{"id":"https://openalex.org/keywords/discriminant","display_name":"Discriminant","score":0.41396617889404297},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2856902778148651},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21389901638031006},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20604732632637024},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11023172736167908},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06851950287818909}],"concepts":[{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.7255138158798218},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6307519674301147},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6224653720855713},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5905380249023438},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5568074584007263},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.5450135469436646},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5243337750434875},{"id":"https://openalex.org/C25878781","wikidata":"https://www.wikidata.org/wiki/Q1473607","display_name":"Degree of a polynomial","level":3,"score":0.47155094146728516},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.47021201252937317},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44401615858078003},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4263652265071869},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.41595587134361267},{"id":"https://openalex.org/C78397625","wikidata":"https://www.wikidata.org/wiki/Q192487","display_name":"Discriminant","level":2,"score":0.41396617889404297},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2856902778148651},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21389901638031006},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20604732632637024},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11023172736167908},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06851950287818909},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/smi.2008.4547960","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smi.2008.4547960","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Conference on Shape Modeling and Applications","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W33393439","https://openalex.org/W174357554","https://openalex.org/W583859682","https://openalex.org/W1587477963","https://openalex.org/W2000366549","https://openalex.org/W2048520219","https://openalex.org/W2078263033","https://openalex.org/W2098312818","https://openalex.org/W2251441439","https://openalex.org/W6606989159"],"related_works":["https://openalex.org/W1721599012","https://openalex.org/W2901858382","https://openalex.org/W4384273653","https://openalex.org/W4372063917","https://openalex.org/W4232399475","https://openalex.org/W3090632489","https://openalex.org/W2953080444","https://openalex.org/W2135584473","https://openalex.org/W2761997784","https://openalex.org/W2010928414"],"abstract_inverted_index":{"Shape":[0],"representations":[1],"using":[2],"polynomials":[3],"in":[4,31,66,127,142],"computer-aided":[5],"geometric":[6,137],"design":[7,138],"(CAGD)":[8],"and":[9,108,150],"computer":[10],"graphics":[11],"are":[12,163],"ubiquitous.":[13],"This":[14,130],"paper":[15],"shows":[16],"that":[17],"any":[18],"bivariate":[19,39,72,81,94,123],"polynomial":[20,40,73,82,95,124],"p(t,u)":[21,96],"of":[22,34,37,43,68,79,91,102,115],"total":[23,44],"degree":[24,45],"d":[25,46],"les":[26],"n":[27],"can":[28,105,132,146],"be":[29,106,133,147],"represented":[30,119],"the":[32,49,52,80,121,143,154],"form":[33,112],"a":[35,77,88,92,100,113],"blossom":[36],"another":[38],"b(t,":[41,103],"u)":[42,104],"evaluated":[47],"off":[48],"diagonal":[50],"at":[51],"linear":[53],"function":[54],"pairs":[55],"(Xj(t),Yj(u)),":[56],"j":[57],"=":[58],"1,...":[59],",n,":[60],"chosen":[61],"under":[62],"some":[63],"conditions":[64],"expressed":[65],"terms":[67],"symmetric":[69],"functions.":[70],"The":[71,117,140],"b(t,u)":[74,90],"is":[75,97,125],"called":[76],"bud":[78,89,101],"p(t,u).":[83],"An":[84],"algorithm":[85],"for":[86,135],"finding":[87],"given":[93],"presented.":[98],"Successively,":[99],"computed":[107],"so":[109],"on,":[110],"to":[111],"sequence":[114,145],"representations.":[116,157],"information":[118],"by":[120],"original":[122],"preserved":[126],"its":[128],"buds.":[129],"scheme":[131],"used":[134],"encoding/decoding":[136,144],"information.":[139],"objects":[141],"rendered":[148],"graphically":[149],"manipulated":[151],"geometrically":[152],"like":[153],"usual":[155],"parametric":[156],"Examples":[158],"concerning":[159],"triangular":[160],"Bezier":[161],"patches":[162],"provided":[164],"as":[165],"illustrations.":[166]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}