{"id":"https://openalex.org/W1584452409","doi":"https://doi.org/10.1109/pccga.2004.1348331","title":"Unlifted loop subdivision wavelets","display_name":"Unlifted loop subdivision wavelets","publication_year":2004,"publication_date":"2004-11-08","ids":{"openalex":"https://openalex.org/W1584452409","doi":"https://doi.org/10.1109/pccga.2004.1348331","mag":"1584452409"},"language":"en","primary_location":{"id":"doi:10.1109/pccga.2004.1348331","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pccga.2004.1348331","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"12th Pacific Conference on Computer Graphics and Applications, 2004. PG 2004. Proceedings.","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/A5034114026","display_name":"Denggao Li","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Denggao Li","raw_affiliation_strings":["Department of Computer Science and Technology, Tsinghua University, Beijing, China","Dept. of Computer Science & Technology, Tsinghua University, Beijing, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Technology, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Dept. of Computer Science & Technology, Tsinghua University, Beijing, China#TAB#","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023893248","display_name":"Kaihuai Qin","orcid":"https://orcid.org/0000-0001-8902-142X"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kaihuai Qin","raw_affiliation_strings":["Department of Computer Science and Technology, Tsinghua University, Beijing, China","Dept. of Computer Science & Technology, Tsinghua University, Beijing, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Technology, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Dept. of Computer Science & Technology, Tsinghua University, Beijing, China#TAB#","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100359489","display_name":"Hanqiu Sun","orcid":"https://orcid.org/0000-0002-3244-4111"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hanqiu Sun","raw_affiliation_strings":["Department of Computer Science and Engineering, Chinese University of Hong Kong, Hong Kong, China","The Chinese University of Hong Kong, P.R. China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Chinese University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"The Chinese University of Hong Kong, P.R. China","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034114026"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":3.0664,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.89643068,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"25","last_page":"33"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":1.0,"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":1.0,"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/T11138","display_name":"Tribology and Lubrication Engineering","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T10188","display_name":"Advanced machining processes and optimization","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/wavelet","display_name":"Wavelet","score":0.8960007429122925},{"id":"https://openalex.org/keywords/wavelet-packet-decomposition","display_name":"Wavelet packet decomposition","score":0.7725338339805603},{"id":"https://openalex.org/keywords/lifting-scheme","display_name":"Lifting scheme","score":0.7648205757141113},{"id":"https://openalex.org/keywords/second-generation-wavelet-transform","display_name":"Second-generation wavelet transform","score":0.7329938411712646},{"id":"https://openalex.org/keywords/stationary-wavelet-transform","display_name":"Stationary wavelet transform","score":0.7199081182479858},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.7147946953773499},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.687716007232666},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.6115919947624207},{"id":"https://openalex.org/keywords/cascade-algorithm","display_name":"Cascade algorithm","score":0.6086671948432922},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5450383424758911},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4956439733505249},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40739718079566956},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40450790524482727},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26138705015182495},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.060498058795928955}],"concepts":[{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.8960007429122925},{"id":"https://openalex.org/C155777637","wikidata":"https://www.wikidata.org/wiki/Q2736187","display_name":"Wavelet packet decomposition","level":4,"score":0.7725338339805603},{"id":"https://openalex.org/C199550912","wikidata":"https://www.wikidata.org/wiki/Q3238415","display_name":"Lifting scheme","level":5,"score":0.7648205757141113},{"id":"https://openalex.org/C111350171","wikidata":"https://www.wikidata.org/wiki/Q7443700","display_name":"Second-generation wavelet transform","level":5,"score":0.7329938411712646},{"id":"https://openalex.org/C73339587","wikidata":"https://www.wikidata.org/wiki/Q1375942","display_name":"Stationary wavelet transform","level":5,"score":0.7199081182479858},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.7147946953773499},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.687716007232666},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.6115919947624207},{"id":"https://openalex.org/C88829872","wikidata":"https://www.wikidata.org/wiki/Q5048176","display_name":"Cascade algorithm","level":5,"score":0.6086671948432922},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5450383424758911},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4956439733505249},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40739718079566956},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40450790524482727},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26138705015182495},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.060498058795928955},{"id":"https://openalex.org/C147176958","wikidata":"https://www.wikidata.org/wiki/Q77590","display_name":"Civil engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/pccga.2004.1348331","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pccga.2004.1348331","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"12th Pacific Conference on Computer Graphics and Applications, 2004. PG 2004. Proceedings.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5099999904632568}],"awards":[],"funders":[{"id":"https://openalex.org/F4320309398","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W126840538","https://openalex.org/W1518926164","https://openalex.org/W1989480677","https://openalex.org/W1989850389","https://openalex.org/W1990323259","https://openalex.org/W2012909180","https://openalex.org/W2020919250","https://openalex.org/W2022408614","https://openalex.org/W2028576613","https://openalex.org/W2065661959","https://openalex.org/W2074981114","https://openalex.org/W2075010828","https://openalex.org/W2079017595","https://openalex.org/W2090387084","https://openalex.org/W2125481678","https://openalex.org/W2130470231","https://openalex.org/W2156862042","https://openalex.org/W2163324644","https://openalex.org/W3149831928","https://openalex.org/W6631034842"],"related_works":["https://openalex.org/W2085792030","https://openalex.org/W68308810","https://openalex.org/W2358271565","https://openalex.org/W2391053410","https://openalex.org/W2046633342","https://openalex.org/W1983773606","https://openalex.org/W2274421086","https://openalex.org/W2351059076","https://openalex.org/W2127536479","https://openalex.org/W2351270432"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"a":[5,58,141],"new":[6],"wavelet":[7,18,42,50,65,69,84,90,101,128],"scheme":[8,70,91],"for":[9,52,79,94,100,110],"loop":[10,53],"subdivision":[11,24,33,117],"surfaces.":[12],"The":[13],"main":[14],"idea":[15],"enabling":[16],"our":[17,68,89,108],"construction":[19],"is":[20,103],"to":[21,26,47,122,135],"extend":[22],"the":[23,36,41,64,98,115,123,126],"rules":[25],"be":[27,136],"invertible,":[28],"thus":[29],"executing":[30],"each":[31],"inverse":[32],"step":[34],"in":[35,63,96,114],"reverse":[37],"order":[38],"makes":[39,88],"up":[40],"decomposition":[43,102],"rule.":[44],"As":[45],"opposed":[46],"other":[48],"existing":[49],"schemes":[51],"surfaces,":[54],"which":[55,97,119],"require":[56],"solving":[57],"global":[59],"sparse":[60],"linear":[61],"system":[62],"analysis":[66],"process,":[67],"provides":[71],"efficient":[72],"(linear":[73],"time":[74],"and":[75,82],"fully":[76],"in-place)":[77],"computations":[78],"both":[80],"forward":[81],"backward":[83],"transforms.":[85],"This":[86],"characteristic":[87],"extremely":[92],"suitable":[93],"applications":[95],"speed":[99],"critical.":[104],"We":[105],"also":[106],"describe":[107],"strategies":[109],"optimizing":[111],"free":[112],"parameters":[113],"extended":[116],"steps,":[118],"are":[120],"important":[121],"performance":[124],"of":[125,143],"final":[127],"transform.":[129],"Our":[130],"method":[131],"has":[132],"been":[133],"proven":[134],"effective,":[137],"as":[138],"demonstrated":[139],"by":[140],"number":[142],"examples.":[144]},"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}