{"id":"https://openalex.org/W3209715639","doi":"https://doi.org/10.1186/s13636-021-00223-6","title":"Comparative evaluation of interpolation methods for the directivity of musical instruments","display_name":"Comparative evaluation of interpolation methods for the directivity of musical instruments","publication_year":2021,"publication_date":"2021-10-30","ids":{"openalex":"https://openalex.org/W3209715639","doi":"https://doi.org/10.1186/s13636-021-00223-6","mag":"3209715639"},"language":"en","primary_location":{"id":"doi:10.1186/s13636-021-00223-6","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13636-021-00223-6","pdf_url":"https://asmp-eurasipjournals.springeropen.com/track/pdf/10.1186/s13636-021-00223-6","source":{"id":"https://openalex.org/S19605986","display_name":"EURASIP Journal on Audio Speech and Music Processing","issn_l":"1687-4714","issn":["1687-4714","1687-4722"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Audio, Speech, and Music Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://asmp-eurasipjournals.springeropen.com/track/pdf/10.1186/s13636-021-00223-6","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108337219","display_name":"David Ackermann","orcid":null},"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":true,"raw_author_name":"David Ackermann","raw_affiliation_strings":["Audio Communication Group, Technische Universit\u00e4t Berlin, Einsteinufer 17c, Berlin, 10587, Germany"],"affiliations":[{"raw_affiliation_string":"Audio Communication Group, Technische Universit\u00e4t Berlin, Einsteinufer 17c, Berlin, 10587, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044390398","display_name":"Fabian Brinkmann","orcid":"https://orcid.org/0000-0003-1905-1361"},"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":"Fabian Brinkmann","raw_affiliation_strings":["Audio Communication Group, Technische Universit\u00e4t Berlin, Einsteinufer 17c, Berlin, 10587, Germany"],"affiliations":[{"raw_affiliation_string":"Audio Communication Group, Technische Universit\u00e4t Berlin, Einsteinufer 17c, Berlin, 10587, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039762570","display_name":"Franz Zotter","orcid":"https://orcid.org/0000-0002-6201-1106"},"institutions":[{"id":"https://openalex.org/I317320687","display_name":"University of Music and Performing Arts Graz","ror":"https://ror.org/0541v4g57","country_code":"AT","type":"education","lineage":["https://openalex.org/I317320687"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Franz Zotter","raw_affiliation_strings":["Institute of Electronic Music and Acoustics, University of Music and Performing Arts Graz, Inffeldgasse 10, Graz, 8010, Austria"],"affiliations":[{"raw_affiliation_string":"Institute of Electronic Music and Acoustics, University of Music and Performing Arts Graz, Inffeldgasse 10, Graz, 8010, Austria","institution_ids":["https://openalex.org/I317320687"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056942453","display_name":"Malte Kob","orcid":"https://orcid.org/0000-0002-9159-2712"},"institutions":[{"id":"https://openalex.org/I4210145737","display_name":"University of Music Detmold","ror":"https://ror.org/03y02pg02","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210145737"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Malte Kob","raw_affiliation_strings":["Erich Thienhaus Institute, Detmold University of Music, Neustadt 22, Detmold, 32756, Germany"],"affiliations":[{"raw_affiliation_string":"Erich Thienhaus Institute, Detmold University of Music, Neustadt 22, Detmold, 32756, Germany","institution_ids":["https://openalex.org/I4210145737"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101993170","display_name":"Stefan Weinzierl","orcid":"https://orcid.org/0000-0002-9427-9932"},"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":"Stefan Weinzierl","raw_affiliation_strings":["Audio Communication Group, Technische Universit\u00e4t Berlin, Einsteinufer 17c, Berlin, 10587, Germany"],"affiliations":[{"raw_affiliation_string":"Audio Communication Group, Technische Universit\u00e4t Berlin, Einsteinufer 17c, Berlin, 10587, Germany","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5108337219"],"corresponding_institution_ids":["https://openalex.org/I4577782"],"apc_list":{"value":1115,"currency":"GBP","value_usd":1367},"apc_paid":{"value":1266,"currency":"EUR","value_usd":1365},"fwci":0.5947,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.63659198,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"2021","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10822","display_name":"Acoustic Wave Phenomena Research","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T10822","display_name":"Acoustic Wave Phenomena Research","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T11008","display_name":"Aerodynamics and Acoustics in Jet Flows","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T10860","display_name":"Speech and Audio Processing","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/interpolation","display_name":"Interpolation (computer graphics)","score":0.6693181991577148},{"id":"https://openalex.org/keywords/multivariate-interpolation","display_name":"Multivariate interpolation","score":0.6460332870483398},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.5707923769950867},{"id":"https://openalex.org/keywords/thin-plate-spline","display_name":"Thin plate spline","score":0.5682501792907715},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5088837146759033},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47603774070739746},{"id":"https://openalex.org/keywords/directivity","display_name":"Directivity","score":0.45477718114852905},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4493187665939331},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.4427960216999054},{"id":"https://openalex.org/keywords/upsampling","display_name":"Upsampling","score":0.4401256740093231},{"id":"https://openalex.org/keywords/nearest-neighbor-interpolation","display_name":"Nearest-neighbor interpolation","score":0.4309084117412567},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42273640632629395},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4144865870475769},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17583641409873962},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.1738845407962799},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15472367405891418},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.14802756905555725},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1415514349937439},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12375956773757935},{"id":"https://openalex.org/keywords/antenna","display_name":"Antenna (radio)","score":0.1046457290649414}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6693181991577148},{"id":"https://openalex.org/C203332170","wikidata":"https://www.wikidata.org/wiki/Q6334079","display_name":"Multivariate interpolation","level":3,"score":0.6460332870483398},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.5707923769950867},{"id":"https://openalex.org/C93132110","wikidata":"https://www.wikidata.org/wiki/Q7784288","display_name":"Thin plate spline","level":4,"score":0.5682501792907715},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5088837146759033},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47603774070739746},{"id":"https://openalex.org/C189039984","wikidata":"https://www.wikidata.org/wiki/Q8225412","display_name":"Directivity","level":3,"score":0.45477718114852905},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4493187665939331},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.4427960216999054},{"id":"https://openalex.org/C110384440","wikidata":"https://www.wikidata.org/wiki/Q1143270","display_name":"Upsampling","level":3,"score":0.4401256740093231},{"id":"https://openalex.org/C207214200","wikidata":"https://www.wikidata.org/wiki/Q4202129","display_name":"Nearest-neighbor interpolation","level":4,"score":0.4309084117412567},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42273640632629395},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4144865870475769},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17583641409873962},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.1738845407962799},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15472367405891418},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.14802756905555725},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1415514349937439},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12375956773757935},{"id":"https://openalex.org/C21822782","wikidata":"https://www.wikidata.org/wiki/Q131214","display_name":"Antenna (radio)","level":2,"score":0.1046457290649414},{"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/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1186/s13636-021-00223-6","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13636-021-00223-6","pdf_url":"https://asmp-eurasipjournals.springeropen.com/track/pdf/10.1186/s13636-021-00223-6","source":{"id":"https://openalex.org/S19605986","display_name":"EURASIP Journal on Audio Speech and Music Processing","issn_l":"1687-4714","issn":["1687-4714","1687-4722"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Audio, Speech, and Music Processing","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:6858460fe6b644de9eb8e641c14db81e","is_oa":true,"landing_page_url":"https://doaj.org/article/6858460fe6b644de9eb8e641c14db81e","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Audio, Speech, and Music Processing, Vol 2021, Iss 1, Pp 1-14 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1186/s13636-021-00223-6","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13636-021-00223-6","pdf_url":"https://asmp-eurasipjournals.springeropen.com/track/pdf/10.1186/s13636-021-00223-6","source":{"id":"https://openalex.org/S19605986","display_name":"EURASIP Journal on Audio Speech and Music Processing","issn_l":"1687-4714","issn":["1687-4714","1687-4722"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Audio, Speech, and Music Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324094","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3209715639.pdf","grobid_xml":"https://content.openalex.org/works/W3209715639.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W63727357","https://openalex.org/W1549940068","https://openalex.org/W1553202049","https://openalex.org/W1559975096","https://openalex.org/W1637193506","https://openalex.org/W1982936638","https://openalex.org/W1999045749","https://openalex.org/W2000395482","https://openalex.org/W2025343193","https://openalex.org/W2025743255","https://openalex.org/W2029671051","https://openalex.org/W2030578644","https://openalex.org/W2065660120","https://openalex.org/W2074135659","https://openalex.org/W2087255259","https://openalex.org/W2094783153","https://openalex.org/W2105808261","https://openalex.org/W2153504150","https://openalex.org/W2160525176","https://openalex.org/W2283598251","https://openalex.org/W2488066539","https://openalex.org/W2494085323","https://openalex.org/W2593676322","https://openalex.org/W2614816765","https://openalex.org/W2615372568","https://openalex.org/W2890351024","https://openalex.org/W2899942260","https://openalex.org/W2936625058","https://openalex.org/W2943390615","https://openalex.org/W2946332576","https://openalex.org/W3007081528","https://openalex.org/W3102786129","https://openalex.org/W3129236821","https://openalex.org/W3212503017","https://openalex.org/W4236344233","https://openalex.org/W4252566186","https://openalex.org/W4288113264","https://openalex.org/W6967342576"],"related_works":["https://openalex.org/W2371645298","https://openalex.org/W2380799314","https://openalex.org/W2113941883","https://openalex.org/W2071815454","https://openalex.org/W2036543038","https://openalex.org/W2358496008","https://openalex.org/W2551182204","https://openalex.org/W2359474729","https://openalex.org/W2355026248","https://openalex.org/W2384462540"],"abstract_inverted_index":{"Abstract":[0],"Measurements":[1],"of":[2,5,24,39,44,66,86,90,136,168,173,193],"the":[3,25,56,63,67,116,120,134,137,151,176,194],"directivity":[4,52,171],"acoustic":[6],"sound":[7,40],"sources":[8,68],"must":[9],"be":[10],"interpolated":[11],"in":[12,37],"almost":[13,146],"all":[14],"cases,":[15],"either":[16],"for":[17,27,35,76,103,165],"spatial":[18,28,121,166],"upsampling":[19],"to":[20,30,49,130,182],"higher":[21,161],"resolution":[22],"representations":[23],"data,":[26],"resampling":[29],"another":[31],"sampling":[32,57,81,122],"grid,":[33],"or":[34],"use":[36],"simulations":[38],"propagation.":[41],"The":[42,96,139],"performance":[43],"different":[45],"interpolation":[46,77,109,144,167],"techniques":[47],"applied":[48,124,181],"sparsely":[50,169],"sampled":[51,170],"measurements":[53,85,172],"depends":[54],"on":[55,62,100,111,133,157],"grid":[58,82],"used":[59],"but":[60],"also":[61],"radiation":[64],"pattern":[65],"themselves.":[69],"Therefore,":[70,164],"we":[71],"evaluated":[72],"three":[73],"established":[74],"approaches":[75],"from":[78],"a":[79,87,94,126,190],"low-resolution":[80],"using":[83],"high-resolution":[84],"representative":[88],"sample":[89],"musical":[91,174],"instruments":[92],"as":[93,147,150],"reference.":[95],"smallest":[97],"global":[98],"error":[99],"average":[101,158],"occurs":[102],"thin":[104,177],"plate":[105,178],"pseudo-spline":[106,179],"interpolation.":[107,138],"For":[108],"based":[110],"spherical":[112,142],"harmonics":[113],"(SH)":[114],"decomposition,":[115],"SH":[117],"order":[118],"and":[119,128],"scheme":[123],"have":[125],"strong":[127],"difficult":[129],"predict":[131],"influence":[132],"quality":[135],"piece-wise":[140],"linear,":[141],"triangular":[143],"provides":[145],"good":[148],"results":[149],"first-order":[152],"spline":[153],"approach,":[154],"albeit":[155],"with":[156],"20":[159],"times":[160],"computational":[162],"effort.":[163],"instruments,":[175],"method":[180],"absolute-valued":[183],"data":[184],"is":[185],"recommended":[186],"and,":[187],"if":[188],"necessary,":[189],"subsequent":[191],"modeling":[192],"phase.":[195]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-23T09:07:50.710637","created_date":"2025-10-10T00:00:00"}