{"id":"https://openalex.org/W7152981672","doi":"https://doi.org/10.1111/cgf.70326","title":"Basis Networks: Learning basis functions for free\u2010form triangulations","display_name":"Basis Networks: Learning basis functions for free\u2010form triangulations","publication_year":2026,"publication_date":"2026-04-10","ids":{"openalex":"https://openalex.org/W7152981672","doi":"https://doi.org/10.1111/cgf.70326"},"language":"en","primary_location":{"id":"doi:10.1111/cgf.70326","is_oa":true,"landing_page_url":"https://doi.org/10.1111/cgf.70326","pdf_url":null,"source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1111/cgf.70326","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005785547","display_name":"Tobias Djuren","orcid":"https://orcid.org/0009-0003-7043-9983"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"T. Djuren","raw_affiliation_strings":["TU Berlin  Germany"],"raw_orcid":"https://orcid.org/0009-0003-7043-9983","affiliations":[{"raw_affiliation_string":"TU Berlin  Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072827199","display_name":"Marc Alexa","orcid":"https://orcid.org/0000-0002-9854-8466"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. Alexa","raw_affiliation_strings":["TU Berlin  Germany"],"raw_orcid":"https://orcid.org/0000-0002-9854-8466","affiliations":[{"raw_affiliation_string":"TU Berlin  Germany","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4577782"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":{"value":3710,"currency":"USD","value_usd":3710},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.4390135,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.7057999968528748,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.7057999968528748,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.0649000033736229,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.05559999868273735,"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/basis","display_name":"Basis (linear algebra)","score":0.861299991607666},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.800000011920929},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.6686000227928162},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.4878000020980835},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.4214000105857849},{"id":"https://openalex.org/keywords/radial-basis-function","display_name":"Radial basis function","score":0.41100001335144043}],"concepts":[{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.861299991607666},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.800000011920929},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.6686000227928162},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.492900013923645},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.4878000020980835},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.4214000105857849},{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.41100001335144043},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3921000063419342},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.38530001044273376},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3790000081062317},{"id":"https://openalex.org/C199686383","wikidata":"https://www.wikidata.org/wiki/Q1529124","display_name":"Subdivision surface","level":3,"score":0.36980000138282776},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.3353999853134155},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.30300000309944153},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.2867000102996826},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2777000069618225}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1111/cgf.70326","is_oa":true,"landing_page_url":"https://doi.org/10.1111/cgf.70326","pdf_url":null,"source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1111/cgf.70326","is_oa":true,"landing_page_url":"https://doi.org/10.1111/cgf.70326","pdf_url":null,"source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4239229480","display_name":null,"funder_award_id":"101055448","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"}],"funders":[{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1155840601","https://openalex.org/W1549745677","https://openalex.org/W1966495409","https://openalex.org/W1975807121","https://openalex.org/W1987677786","https://openalex.org/W1990323259","https://openalex.org/W2006502673","https://openalex.org/W2014009653","https://openalex.org/W2020263524","https://openalex.org/W2021020859","https://openalex.org/W2028576613","https://openalex.org/W2032325716","https://openalex.org/W2034251426","https://openalex.org/W2035477553","https://openalex.org/W2043571611","https://openalex.org/W2065661959","https://openalex.org/W2072965517","https://openalex.org/W2083574922","https://openalex.org/W2091620062","https://openalex.org/W2118101811","https://openalex.org/W2127372291","https://openalex.org/W2130470231","https://openalex.org/W2138517065","https://openalex.org/W2162639197","https://openalex.org/W2232880714","https://openalex.org/W2235901111","https://openalex.org/W2796426482","https://openalex.org/W2902583282","https://openalex.org/W2905288042","https://openalex.org/W2959139853","https://openalex.org/W2973014570","https://openalex.org/W3034196047","https://openalex.org/W3118267060","https://openalex.org/W3158117306","https://openalex.org/W3202195948","https://openalex.org/W3215071557","https://openalex.org/W4240693864","https://openalex.org/W4254280957","https://openalex.org/W4255747408","https://openalex.org/W4385537399","https://openalex.org/W4400582164","https://openalex.org/W4409463147","https://openalex.org/W4409585688"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"We":[1,64],"present":[2],"a":[3],"framework":[4],"for":[5],"learning":[6],"compactly":[7],"supported":[8],"basis":[9,23,32,42,59],"functions":[10,24,33,43],"that":[11,66],"define":[12],"tangent":[13],"continuous":[14],"surfaces":[15],"based":[16],"on":[17],"coarse":[18],"irregular":[19],"triangle":[20],"meshes.":[21],"The":[22],"are":[25],"represented":[26],"as":[27,44],"MLPs.":[28],"Smoothness":[29],"of":[30,40,47,53,78],"the":[31,38,45,48,51,54,57,83],"is":[34],"achieved":[35],"by":[36],"using":[37],"values":[39],"Loop":[41,58],"parameterization":[46],"surface.":[49],"Post\u2010multiplying":[50],"value":[52],"MLP":[55],"with":[56,87],"yields":[60],"smooth":[61],"compact":[62],"support.":[63],"show":[65],"this":[67],"approach":[68],"works":[69],"similar":[70],"or":[71],"better":[72,86],"than":[73],"Neural":[74],"Subdivision":[75],"in":[76],"terms":[77],"recreating":[79],"given":[80],"geometry,":[81],"while":[82],"runtime":[84],"scales":[85],"surface":[88],"resolution":[89],"and":[90],"can":[91],"be":[92],"evaluated":[93],"at":[94],"arbitrary":[95],"resolution.":[96]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2026-04-11T00:00:00"}