{"id":"https://openalex.org/W51578090","doi":"https://doi.org/10.1007/978-3-642-40020-9_13","title":"A Riemannian Fourier Transform via Spin Representations","display_name":"A Riemannian Fourier Transform via Spin Representations","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W51578090","doi":"https://doi.org/10.1007/978-3-642-40020-9_13","mag":"51578090"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-40020-9_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-40020-9_13","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001000212","display_name":"Thomas Batard","orcid":"https://orcid.org/0000-0001-9335-0314"},"institutions":[{"id":"https://openalex.org/I32881790","display_name":"Universit\u00e9 de Poitiers","ror":"https://ror.org/04xhy8q59","country_code":"FR","type":"education","lineage":["https://openalex.org/I32881790"]},{"id":"https://openalex.org/I4400600903","display_name":"Laboratoire des Sciences de l\u2019Information et de la Communication","ror":"https://ror.org/034gh1d56","country_code":null,"type":"facility","lineage":["https://openalex.org/I201841394","https://openalex.org/I4400600903"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"T. Batard","raw_affiliation_strings":["XLIM-SIC Lab., Poitiers University, France","Poitiers University"],"affiliations":[{"raw_affiliation_string":"XLIM-SIC Lab., Poitiers University, France","institution_ids":["https://openalex.org/I4400600903"]},{"raw_affiliation_string":"Poitiers University","institution_ids":["https://openalex.org/I32881790"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043771061","display_name":"Michel Berthier","orcid":"https://orcid.org/0000-0002-3298-4011"},"institutions":[{"id":"https://openalex.org/I78744979","display_name":"La Rochelle Universit\u00e9","ror":"https://ror.org/04mv1z119","country_code":"FR","type":"education","lineage":["https://openalex.org/I78744979"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M. Berthier","raw_affiliation_strings":["MIA Lab., La Rochelle University, France","La Rochelle University"],"affiliations":[{"raw_affiliation_string":"MIA Lab., La Rochelle University, France","institution_ids":["https://openalex.org/I78744979"]},{"raw_affiliation_string":"La Rochelle University","institution_ids":["https://openalex.org/I78744979"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5001000212"],"corresponding_institution_ids":["https://openalex.org/I32881790","https://openalex.org/I4400600903"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.1466,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.82323232,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"131","last_page":"139"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9785000085830688,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.6817426681518555},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5709072947502136},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.5535891652107239},{"id":"https://openalex.org/keywords/hartley-transform","display_name":"Hartley transform","score":0.5504856109619141},{"id":"https://openalex.org/keywords/spin","display_name":"Spin (aerodynamics)","score":0.44060254096984863},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4023859202861786},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.25289273262023926},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21625906229019165},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21230679750442505},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16977009177207947},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15829578042030334}],"concepts":[{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.6817426681518555},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5709072947502136},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.5535891652107239},{"id":"https://openalex.org/C67757890","wikidata":"https://www.wikidata.org/wiki/Q1567607","display_name":"Hartley transform","level":5,"score":0.5504856109619141},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.44060254096984863},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4023859202861786},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.25289273262023926},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21625906229019165},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21230679750442505},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16977009177207947},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15829578042030334},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-40020-9_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-40020-9_13","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W122875470","https://openalex.org/W203977387","https://openalex.org/W605718397","https://openalex.org/W1246572632","https://openalex.org/W1531578746","https://openalex.org/W1601830473","https://openalex.org/W1621419977","https://openalex.org/W1965940000","https://openalex.org/W1974198329","https://openalex.org/W1983894121","https://openalex.org/W1991468392","https://openalex.org/W2012076877","https://openalex.org/W2090754080","https://openalex.org/W2128633210","https://openalex.org/W2135176650","https://openalex.org/W2135269154","https://openalex.org/W2137091003","https://openalex.org/W2168115422","https://openalex.org/W2332894437","https://openalex.org/W2502880094","https://openalex.org/W2964069307","https://openalex.org/W3102588048","https://openalex.org/W3102635765","https://openalex.org/W4200501717","https://openalex.org/W4232803353","https://openalex.org/W4298680854","https://openalex.org/W4300318108"],"related_works":["https://openalex.org/W2131846413","https://openalex.org/W4320041044","https://openalex.org/W4238370364","https://openalex.org/W1034517188","https://openalex.org/W3142921214","https://openalex.org/W4294147850","https://openalex.org/W70324571","https://openalex.org/W2348706803","https://openalex.org/W2900022195","https://openalex.org/W2507213181"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
