{"id":"https://openalex.org/W4413679865","doi":"https://doi.org/10.23919/fusion65864.2025.11124009","title":"Deterministic Sampling with Separation of Variables in Spherical Coordinates","display_name":"Deterministic Sampling with Separation of Variables in Spherical Coordinates","publication_year":2025,"publication_date":"2025-07-07","ids":{"openalex":"https://openalex.org/W4413679865","doi":"https://doi.org/10.23919/fusion65864.2025.11124009"},"language":"en","primary_location":{"id":"doi:10.23919/fusion65864.2025.11124009","is_oa":false,"landing_page_url":"https://doi.org/10.23919/fusion65864.2025.11124009","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 28th International Conference on Information Fusion (FUSION)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5445/ir/1000192589","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027687530","display_name":"Daniel Frisch","orcid":"https://orcid.org/0000-0001-6615-1782"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Frisch","raw_affiliation_strings":["Intelligent Sensor-Actuator-Systems Laboratory (ISAS), Institute for Anthropomatics and Robotics, Karlsruhe Institute of Technology (KIT),Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Intelligent Sensor-Actuator-Systems Laboratory (ISAS), Institute for Anthropomatics and Robotics, Karlsruhe Institute of Technology (KIT),Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055331421","display_name":"Uwe D. Hanebeck","orcid":"https://orcid.org/0000-0001-9870-2331"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Uwe D. Hanebeck","raw_affiliation_strings":["Intelligent Sensor-Actuator-Systems Laboratory (ISAS), Institute for Anthropomatics and Robotics, Karlsruhe Institute of Technology (KIT),Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Intelligent Sensor-Actuator-Systems Laboratory (ISAS), Institute for Anthropomatics and Robotics, Karlsruhe Institute of Technology (KIT),Germany","institution_ids":["https://openalex.org/I102335020"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I102335020"],"apc_list":null,"apc_paid":null,"fwci":1.4204,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.8205623,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.8537999987602234,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.8537999987602234,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/separation","display_name":"Separation (statistics)","score":0.7093629240989685},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.6126211285591125},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5624147653579712},{"id":"https://openalex.org/keywords/source-separation","display_name":"Source separation","score":0.41779473423957825},{"id":"https://openalex.org/keywords/separation-of-variables","display_name":"Separation of variables","score":0.4166598916053772},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38901281356811523},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2961350083351135},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.22824957966804504},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1238025426864624},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.08768168091773987}],"concepts":[{"id":"https://openalex.org/C2776061190","wikidata":"https://www.wikidata.org/wiki/Q7451805","display_name":"Separation (statistics)","level":2,"score":0.7093629240989685},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.6126211285591125},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5624147653579712},{"id":"https://openalex.org/C2776864781","wikidata":"https://www.wikidata.org/wiki/Q52617913","display_name":"Source separation","level":2,"score":0.41779473423957825},{"id":"https://openalex.org/C159722891","wikidata":"https://www.wikidata.org/wiki/Q913323","display_name":"Separation of variables","level":3,"score":0.4166598916053772},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38901281356811523},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2961350083351135},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.22824957966804504},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1238025426864624},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.08768168091773987},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.23919/fusion65864.2025.11124009","is_oa":false,"landing_page_url":"https://doi.org/10.23919/fusion65864.2025.11124009","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 28th International Conference on Information Fusion (FUSION)","raw_type":"proceedings-article"},{"id":"pmh:oai:EVASTAR-Karlsruhe.de:1000192589","is_oa":false,"landing_page_url":"https://publikationen.bibliothek.kit.edu/1000192589","pdf_url":null,"source":{"id":"https://openalex.org/S4306401992","display_name":"Repository KITopen (Karlsruhe Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102335020","host_organization_name":"Karlsruhe Institute of Technology","host_organization_lineage":["https://openalex.org/I102335020"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"doc-type:conferenceObject"},{"id":"doi:10.5445/ir/1000192589","is_oa":true,"landing_page_url":"https://doi.org/10.5445/ir/1000192589","pdf_url":null,"source":{"id":"https://openalex.org/S7407052948","display_name":"KITopen","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102335020","host_organization_name":"Karlsruhe Institute of Technology","host_organization_lineage":["https://openalex.org/I102335020"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.5445/ir/1000192589","is_oa":true,"landing_page_url":"https://doi.org/10.5445/ir/1000192589","pdf_url":null,"source":{"id":"https://openalex.org/S7407052948","display_name":"KITopen","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102335020","host_organization_name":"Karlsruhe Institute of Technology","host_organization_lineage":["https://openalex.org/I102335020"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1966307629","https://openalex.org/W1971362449","https://openalex.org/W1978501336","https://openalex.org/W2020934227","https://openalex.org/W2042925520","https://openalex.org/W2124665963","https://openalex.org/W2136661846","https://openalex.org/W2204771532","https://openalex.org/W2295776707","https://openalex.org/W2619381903","https://openalex.org/W2963317718","https://openalex.org/W2968140204","https://openalex.org/W3012323445","https://openalex.org/W3021155927","https://openalex.org/W3088179335","https://openalex.org/W3157241518","https://openalex.org/W3215894861","https://openalex.org/W4241467539","https://openalex.org/W4293094112","https://openalex.org/W4390044767"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W1556304974","https://openalex.org/W2370382486","https://openalex.org/W2359726581","https://openalex.org/W2360408339","https://openalex.org/W3111449689","https://openalex.org/W2077498359","https://openalex.org/W3139892290","https://openalex.org/W2122557146"],"abstract_inverted_index":{"Densities":[0],"separable":[1],"in":[2],"spherical":[3],"coordinates":[4],"have":[5],"two":[6],"advantages:$i$)":[7],"the":[8,16,88,109],"normalization":[9],"constant":[10],"is":[11,32],"easy":[12],"to":[13,46,99,122],"compute,":[14],"as":[15],"cumulative":[17],"distribution":[18],"can":[19,43],"be":[20,44,96],"decomposed":[21],"into":[22],"individual":[23],"scalar":[24,38],"integrals,":[25],"and":[26,42,60,64,104],"ii)":[27],"an":[28],"orthogonal":[29,57],"inverse":[30,58],"transform":[31,59],"directly":[33],"available":[34],"via":[35],"a":[36,84,123],"simple,":[37],"initial":[39],"value":[40],"problem":[41],"used":[45],"compute":[47],"deterministic":[48,68],"samples.":[49,69],"We":[50],"propagate":[51],"uniform":[52],"low-discrepancy":[53],"sequences":[54],"through":[55],"that":[56],"obtain":[61],"very":[62],"homogeneous":[63],"even":[65],"visually":[66],"appealing":[67],"To":[70],"demonstrate":[71],"this":[72],"technique,":[73],"we":[74],"exemplarily":[75],"propose":[76],"some":[77],"spherical-coordinate-separable":[78],"densities":[79,94,120],"in$\\mathbb{S}^{2},":[80],"\\mathbb{R}^{2}$,":[81],"and$\\mathbb{R}^{3}$,":[82],"including":[83],"non-isotropic":[85],"modification":[86],"of":[87,117],"von":[89],"Mises-Fisher":[90],"distribution.":[91],"The":[92],"proposed":[93],"may":[95],"used,":[97],"e.g.,":[98],"represent":[100],"uncertain":[101],"radar":[102],"measurements":[103],"for":[105],"directional":[106],"estimation.":[107],"Furthermore,":[108],"framework":[110],"presented":[111],"herein":[112],"allows":[113],"quite":[114],"simple":[115],"design":[116],"various":[118],"more":[119],"tailored":[121],"given":[124],"scenario.":[125]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-08-25T07:29:55.448023","created_date":"2025-10-10T00:00:00"}
