{"id":"https://openalex.org/W3136311249","doi":"https://doi.org/10.1016/j.cagd.2021.101976","title":"An annihilator-based strategy for the automatic detection of exponential polynomial spaces in subdivision","display_name":"An annihilator-based strategy for the automatic detection of exponential polynomial spaces in subdivision","publication_year":2021,"publication_date":"2021-02-01","ids":{"openalex":"https://openalex.org/W3136311249","doi":"https://doi.org/10.1016/j.cagd.2021.101976","mag":"3136311249"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cagd.2021.101976","pdf_url":null,"source":{"id":"https://openalex.org/S135221619","display_name":"Computer Aided Geometric Design","issn_l":"0167-8396","issn":["0167-8396","1879-2332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.cagd.2021.101976","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014411388","display_name":"Sergio L\u00f3pez-Ure\u00f1a","orcid":"https://orcid.org/0000-0003-4330-0620"},"institutions":[{"id":"https://openalex.org/I16097986","display_name":"Universitat de Val\u00e8ncia","ror":"https://ror.org/043nxc105","country_code":"ES","type":"education","lineage":["https://openalex.org/I16097986"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Sergio L\u00f3pez-Ure\u00f1a","raw_affiliation_strings":["Dep. de Matem\u00e0tiques, Universitat de Val\u00e8ncia, Doctor Moliner Street 50, 46100 Burjassot, Valencia, Spain"],"affiliations":[{"raw_affiliation_string":"Dep. de Matem\u00e0tiques, Universitat de Val\u00e8ncia, Doctor Moliner Street 50, 46100 Burjassot, Valencia, Spain","institution_ids":["https://openalex.org/I16097986"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018528393","display_name":"Alberto Viscardi","orcid":"https://orcid.org/0000-0002-4701-6566"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Alberto Viscardi","raw_affiliation_strings":["Dip. di Matematica, Alma Mater Studiorum Universit\u00e0 di Bologna, Piazza P. S. Donato 5, 40126 Bologna, Italy"],"affiliations":[{"raw_affiliation_string":"Dip. di Matematica, Alma Mater Studiorum Universit\u00e0 di Bologna, Piazza P. S. Donato 5, 40126 Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014411388","https://openalex.org/A5018528393"],"corresponding_institution_ids":["https://openalex.org/I16097986","https://openalex.org/I9360294"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990,"provenance":"doaj"},"apc_paid":{"value":2990,"currency":"USD","value_usd":2990,"provenance":"doaj"},"fwci":0.909,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":7,"citation_normalized_percentile":{"value":0.719478,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":83,"max":84},"biblio":{"volume":"85","issue":null,"first_page":"101976","last_page":"101976"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9999,"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":0.9999,"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/T10188","display_name":"Advanced machining processes and optimization","score":0.9777,"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/T11138","display_name":"Tribology and Lubrication Engineering","score":0.9699,"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/exponential-polynomial","display_name":"Exponential polynomial","score":0.5544356},{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.5446486},{"id":"https://openalex.org/keywords/quadric","display_name":"Quadric","score":0.4750445}],"concepts":[{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.8743293},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.82940066},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6014326},{"id":"https://openalex.org/C85384003","wikidata":"https://www.wikidata.org/wiki/Q5421525","display_name":"Exponential polynomial","level":3,"score":0.5544356},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.55128425},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.5446486},{"id":"https://openalex.org/C2779219049","wikidata":"https://www.wikidata.org/wiki/Q852117","display_name":"Quadric","level":2,"score":0.4750445},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.46605334},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4477041},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37429208},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36423346},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35726067},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34092543},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3134832},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18274164},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cagd.2021.101976","pdf_url":null,"source":{"id":"https://openalex.org/S135221619","display_name":"Computer Aided Geometric Design","issn_l":"0167-8396","issn":["0167-8396","1879-2332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://hdl.handle.net/2318/1850999","pdf_url":"https://iris.unito.it/bitstream/2318/1850999/1/%5b2021%5d_SLU_AV-GMP.pdf","source":{"id":"https://openalex.org/S4306400637","display_name":"Institutional Research Information System University of Turin (University of Turin)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I55143463","host_organization_name":"University of Turin","host_organization_lineage":["https://openalex.org/I55143463"],"host_organization_lineage_names":["University of Turin"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cagd.2021.101976","pdf_url":null,"source":{"id":"https://openalex.org/S135221619","display_name":"Computer Aided Geometric Design","issn_l":"0167-8396","issn":["0167-8396","1879-2332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320321764","funder_display_name":"Ministerio de Educaci\u00f3n, Cultura y Deporte","award_id":null},{"funder":"https://openalex.org/F4320326262","funder_display_name":"Ministerio de Asuntos Econ\u00f3micos y Transformaci\u00f3n Digital, Gobierno de Espa\u00f1a","award_id":null}],"datasets":[],"versions":[],"referenced_works_count":36,"referenced_works":["https://openalex.org/W1155840601","https://openalex.org/W1549179374","https://openalex.org/W16960563","https://openalex.org/W1985801984","https://openalex.org/W1986959870","https://openalex.org/W1992502090","https://openalex.org/W1994442929","https://openalex.org/W2014009653","https://openalex.org/W2017638180","https://openalex.org/W2022835755","https://openalex.org/W2036294355","https://openalex.org/W2043444982","https://openalex.org/W2049602286","https://openalex.org/W2057671502","https://openalex.org/W2065661959","https://openalex.org/W2084930303","https://openalex.org/W2085351012","https://openalex.org/W2086033914","https://openalex.org/W2090642340","https://openalex.org/W2108871697","https://openalex.org/W2122112607","https://openalex.org/W2133075431","https://openalex.org/W2139728594","https://openalex.org/W2161268655","https://openalex.org/W2300319833","https://openalex.org/W2300818807","https://openalex.org/W2566922557","https://openalex.org/W2606429533","https://openalex.org/W2763756011","https://openalex.org/W2792254744","https://openalex.org/W2955728274","https://openalex.org/W2992884695","https://openalex.org/W3028407584","https://openalex.org/W3111184581","https://openalex.org/W4303103929","https://openalex.org/W624213318"],"related_works":["https://openalex.org/W3129192423","https://openalex.org/W3059329488","https://openalex.org/W3017621005","https://openalex.org/W3012185381","https://openalex.org/W2397973582","https://openalex.org/W2369148618","https://openalex.org/W2160804735","https://openalex.org/W2042243750","https://openalex.org/W2037264771","https://openalex.org/W1994883548"],"abstract_inverted_index":{"Exponential":[0],"polynomials":[1,111],"are":[2],"essential":[3],"in":[4,149],"subdivision":[5,31,87,104],"for":[6,145],"the":[7,52,58,78,85,100,119,129,138,146],"reconstruction":[8],"of":[9,12,40,102,118,140],"specific":[10],"families":[11],"curves":[13],"and":[14,20,81,151],"surfaces,":[15],"such":[16],"as":[17,95],"conic":[18],"sections":[19],"quadric":[21],"surfaces.":[22],"It":[23],"is":[24,33,93,122,137],"well":[25],"known":[26],"that":[27,67],"if":[28],"a":[29,37,64,96],"linear":[30],"scheme":[32],"able":[34,106],"to":[35,71,83,89,107,113],"reproduce":[36,109],"certain":[38],"space":[39],"exponential":[41,110],"polynomials,":[42],"then":[43],"it":[44],"must":[45],"be":[46,90],"level-dependent,":[47],"with":[48],"rules":[49],"depending":[50],"on":[51,125],"frequencies":[53,75],"(and":[54],"eventual":[55],"multiplicities)":[56],"defining":[57],"considered":[59],"space.":[60],"This":[61,92,134],"work":[62],"discusses":[63],"general":[65],"strategy":[66,121],"exploits":[68],"annihilating":[69],"operators":[70],"locally":[72,108],"detect":[73],"those":[74],"directly":[76],"from":[77],"given":[79],"data":[80],"therefore":[82],"choose":[84],"correct":[86],"rule":[88],"applied.":[91],"intended":[94],"first":[97],"step":[98],"towards":[99],"construction":[101],"self-adapting":[103],"schemes":[105],"belonging":[112],"different":[114],"spaces.":[115],"An":[116],"application":[117],"proposed":[120],"shown":[123],"explicitly":[124],"an":[126],"example":[127,136],"involving":[128],"classical":[130],"butterfly":[131],"interpolatory":[132],"scheme.":[133],"particular":[135],"generalization":[139],"what":[141],"has":[142],"been":[143],"done":[144],"univariate":[147],"case":[148],"Donat":[150],"L\u00f3pez-Ure\u00f1a":[152],"(2019),":[153],"which":[154],"inspired":[155],"this":[156],"work.":[157]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3136311249","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2025-01-05T03:03:55.070062","created_date":"2021-03-29"}