{"id":"https://openalex.org/W2138584164","doi":"https://doi.org/10.1109/lsp.2006.871852","title":"Three-directional box-splines: characterization and efficient evaluation","display_name":"Three-directional box-splines: characterization and efficient evaluation","publication_year":2006,"publication_date":"2006-06-21","ids":{"openalex":"https://openalex.org/W2138584164","doi":"https://doi.org/10.1109/lsp.2006.871852","mag":"2138584164"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2006.871852","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2006.871852","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Signal Processing Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/130318","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024254029","display_name":"Laurent Condat","orcid":"https://orcid.org/0000-0001-7087-1002"},"institutions":[{"id":"https://openalex.org/I106785703","display_name":"Institut polytechnique de Grenoble","ror":"https://ror.org/05sbt2524","country_code":"FR","type":"education","lineage":["https://openalex.org/I106785703","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I4210114274","display_name":"Laboratoire d\u2019Informatique et Syst\u00e8mes","ror":"https://ror.org/0257sgk90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]},{"id":"https://openalex.org/I4210118047","display_name":"Laboratoire d\u2019Imagerie Biom\u00e9dicale","ror":"https://ror.org/02b9znm90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I154526488","https://openalex.org/I39804081","https://openalex.org/I4210096427","https://openalex.org/I4210118047"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"L. Condat","raw_affiliation_strings":["Laboratory of Images and Signals (LIS), Institut National Polytechnique de Grenoble, Grenoble, France","Laboratoire des images et des signaux","Biomedical Imaging Group [Lausanne]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Images and Signals (LIS), Institut National Polytechnique de Grenoble, Grenoble, France","institution_ids":["https://openalex.org/I106785703","https://openalex.org/I4210114274"]},{"raw_affiliation_string":"Laboratoire des images et des signaux","institution_ids":[]},{"raw_affiliation_string":"Biomedical Imaging Group [Lausanne]","institution_ids":["https://openalex.org/I4210118047"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003693672","display_name":"Dimitri Van De Ville","orcid":"https://orcid.org/0000-0002-2879-3861"},"institutions":[{"id":"https://openalex.org/I4210118047","display_name":"Laboratoire d\u2019Imagerie Biom\u00e9dicale","ror":"https://ror.org/02b9znm90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I154526488","https://openalex.org/I39804081","https://openalex.org/I4210096427","https://openalex.org/I4210118047"]},{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH","FR"],"is_corresponding":false,"raw_author_name":"D. Van De Ville","raw_affiliation_strings":["Biomedical Imaging Group (BIG), \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","Biomedical Imaging Group [Lausanne]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Biomedical Imaging Group (BIG), \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Biomedical Imaging Group [Lausanne]","institution_ids":["https://openalex.org/I4210118047"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2196,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.87422322,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":"7","first_page":"417","last_page":"420"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10188","display_name":"Advanced machining processes and optimization","score":0.9854000210762024,"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/box-spline","display_name":"Box spline","score":0.9225388765335083},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.7127730846405029},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.5916529893875122},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5522817373275757},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5283977389335632},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5169072151184082},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5112662315368652},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4505605101585388},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44880229234695435},{"id":"https://openalex.org/keywords/differential-operator","display_name":"Differential operator","score":0.44779515266418457},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.4424005150794983},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43911683559417725},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39934903383255005},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37941768765449524},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3286157250404358},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21513986587524414},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2138407826423645},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.11766102910041809},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1032489538192749},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06943920254707336}],"concepts":[{"id":"https://openalex.org/C78383375","wikidata":"https://www.wikidata.org/wiki/Q4951620","display_name":"Box spline","level":4,"score":0.9225388765335083},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.7127730846405029},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.5916529893875122},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5522817373275757},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5283977389335632},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5169072151184082},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5112662315368652},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4505605101585388},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44880229234695435},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.44779515266418457},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.4424005150794983},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43911683559417725},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39934903383255005},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37941768765449524},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3286157250404358},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21513986587524414},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2138407826423645},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.11766102910041809},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1032489538192749},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06943920254707336},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","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/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","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:10.1109/lsp.2006.871852","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2006.871852","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Signal Processing Letters","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.67.9006","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.67.9006","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://bigwww.epfl.ch/publications/condat0601.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00377103v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00377103","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Signal Processing Letters, 2006, 13 (07), pp. 417-420","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:infoscience.epfl.ch:130318","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/130318","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:130318","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/130318","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1482711749","https://openalex.org/W1593821512","https://openalex.org/W1981937069","https://openalex.org/W2002422940","https://openalex.org/W2002521468","https://openalex.org/W2003410902","https://openalex.org/W2060968961","https://openalex.org/W2062636705","https://openalex.org/W2075683561","https://openalex.org/W2085396618","https://openalex.org/W2086412162","https://openalex.org/W2123764313","https://openalex.org/W2153058280","https://openalex.org/W2165066371","https://openalex.org/W2612706235","https://openalex.org/W4252664964"],"related_works":["https://openalex.org/W2165066371","https://openalex.org/W2138584164","https://openalex.org/W1559256410","https://openalex.org/W1965605760","https://openalex.org/W2102842245","https://openalex.org/W23499285","https://openalex.org/W2714622632","https://openalex.org/W2555832222","https://openalex.org/W2089774915","https://openalex.org/W2143384690"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,21,34,37,40,45,55,63,81],"new":[3],"characterization":[4],"of":[5,39,48,62,74],"three-directional":[6,75],"box-splines,":[7],"which":[8,43],"are":[9],"well":[10],"adapted":[11],"for":[12,27],"interpolation":[13],"and":[14,30,54],"approximation":[15],"on":[16],"hexagonal":[17],"lattices.":[18],"Inspired":[19],"by":[20],"construction":[22],"already":[23],"applied":[24],"with":[25],"success":[26],"exponential":[28],"splines":[29],"hex-splines,":[31],"we":[32],"characterize":[33],"box-spline":[35],"as":[36],"convolution":[38],"generating":[41],"function,":[42],"is":[44],"Green":[46],"function":[47],"the":[49,60],"spline's":[50],"associated":[51],"differential":[52],"operator,":[53],"discrete":[56],"filter":[57],"that":[58],"plays":[59],"role":[61],"localization":[64],"operator.":[65],"This":[66],"process":[67],"leads":[68],"to":[69],"an":[70],"elegant":[71],"analytical":[72],"expression":[73],"box-splines.":[76],"It":[77],"also":[78],"brings":[79],"along":[80],"particularly":[82],"efficient":[83],"implementation":[84]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-19T07:52:34.831488","created_date":"2025-10-10T00:00:00"}