{"id":"https://openalex.org/W4395481429","doi":"https://doi.org/10.1007/s00332-024-10035-5","title":"Elastic Metrics on Spaces of Euclidean Curves: Theory and Algorithms","display_name":"Elastic Metrics on Spaces of Euclidean Curves: Theory and Algorithms","publication_year":2024,"publication_date":"2024-04-25","ids":{"openalex":"https://openalex.org/W4395481429","doi":"https://doi.org/10.1007/s00332-024-10035-5"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-024-10035-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-024-10035-5","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},"type":"article","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/A5057372540","display_name":"Martin Bauer","orcid":"https://orcid.org/0000-0001-7771-056X"},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]},{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT","US"],"is_corresponding":false,"raw_author_name":"Martin Bauer","raw_affiliation_strings":["Department of Mathematics, Florida State University, Tallahassee, FL, USA","Department of Mathematics, University of Vienna, Vienna, Austria","Florida State University, Department of Mathematics, Tallahassee, Florida, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Florida State University, Tallahassee, FL, USA","institution_ids":["https://openalex.org/I103163165"]},{"raw_affiliation_string":"Department of Mathematics, University of Vienna, Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]},{"raw_affiliation_string":"Florida State University, Department of Mathematics, Tallahassee, Florida, USA","institution_ids":["https://openalex.org/I103163165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064933293","display_name":"Nicolas Charon","orcid":"https://orcid.org/0000-0002-6032-247X"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]},{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Nicolas Charon","raw_affiliation_strings":["Department of Mathematics, University of Houston, Houston, TX, USA","Johns Hopkins University, Department of Applied Mathematics and Statistics, Baltimore, Maryland, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Houston, Houston, TX, USA","institution_ids":["https://openalex.org/I44461941"]},{"raw_affiliation_string":"Johns Hopkins University, Department of Applied Mathematics and Statistics, Baltimore, Maryland, USA","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038818778","display_name":"Eric Klassen","orcid":null},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eric Klassen","raw_affiliation_strings":["Department of Mathematics, Florida State University, Tallahassee, FL, USA","Florida State University, Department of Mathematics, Tallahassee, Florida, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Florida State University, Tallahassee, FL, USA","institution_ids":["https://openalex.org/I103163165"]},{"raw_affiliation_string":"Florida State University, Department of Mathematics, Tallahassee, Florida, USA","institution_ids":["https://openalex.org/I103163165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012138072","display_name":"Sebastian Kurtek","orcid":"https://orcid.org/0000-0003-3832-9496"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sebastian Kurtek","raw_affiliation_strings":["Department of Statistics, Ohio State University, Columbus, OH, USA","Ohio State University, Department of Statistics, Columbus, Ohio, USA"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Ohio State University, Columbus, OH, USA","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"Ohio State University, Department of Statistics, Columbus, Ohio, USA","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073878869","display_name":"Tom Needham","orcid":null},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tom Needham","raw_affiliation_strings":["Department of Mathematics, Florida State University, Tallahassee, FL, USA","Florida State University, Department of Mathematics, Tallahassee, Florida, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Florida State University, Tallahassee, FL, USA","institution_ids":["https://openalex.org/I103163165"]},{"raw_affiliation_string":"Florida State University, Department of Mathematics, Tallahassee, Florida, USA","institution_ids":["https://openalex.org/I103163165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045107721","display_name":"Thomas Pierron","orcid":"https://orcid.org/0000-0003-0646-4300"},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thomas Pierron","raw_affiliation_strings":["Department of Mathematics, Florida State University, Tallahassee, FL, USA","Florida State University, Department of Mathematics, Tallahassee, Florida, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Florida State University, Tallahassee, FL, USA","institution_ids":["https://openalex.org/I103163165"]},{"raw_affiliation_string":"Florida State University, Department of Mathematics, Tallahassee, Florida, USA","institution_ids":["https://openalex.org/I103163165"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5064933293"],"corresponding_institution_ids":["https://openalex.org/I145311948","https://openalex.org/I44461941"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":6.1963,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.97020349,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"34","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12417","display_name":"Morphological variations and asymmetry","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9891999959945679,"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/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9868000149726868,"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/mathematics","display_name":"Mathematics","score":0.6055047512054443},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.5579076409339905},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4568640887737274},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32997679710388184},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32155925035476685},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.27265220880508423}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6055047512054443},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.5579076409339905},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4568640887737274},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32997679710388184},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32155925035476685},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.27265220880508423}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00332-024-10035-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-024-10035-5","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1202554545","display_name":null,"funder_award_id":"DMS-2015226","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G13316060","display_name":null,"funder_award_id":"1953244","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1836215700","display_name":null,"funder_award_id":"2107808","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G212160719","display_name":null,"funder_award_id":"DMS-1945224","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2432530832","display_name":null,"funder_award_id":"CA214955","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G3088209265","display_name":null,"funder_award_id":"DMS-2107808","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3557331896","display_name":"TRIPODS+X:RES:Collaborative Research: Improving Templated  Microstructures via Topological Data Analysis","funder_award_id":"1839252","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G366922447","display_name":"Collaborative Research: Shape-Based Imputation and Estimation of Fragmented, Noisy Curves with Application to the Reconstruction of Fossil Bovid Teeth","funder_award_id":"2015226","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3716705331","display_name":null,"funder_award_id":"DMS- 1912037","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G4280858423","display_name":null,"funder_award_id":"1912037","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4879008303","display_name":null,"funder_award_id":"DMS-1953244","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5016373318","display_name":null,"funder_award_id":"DMS-2015226","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5038709275","display_name":null,"funder_award_id":"P 35813-N","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G5122759052","display_name":null,"funder_award_id":"1953267","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5392640432","display_name":null,"funder_award_id":"R37-CA214955","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G6367296400","display_name":null,"funder_award_id":"1740761","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G690550809","display_name":null,"funder_award_id":"DMS-1953267","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G6952111701","display_name":"Infinite dim. Riemannian geometry: theory and computations","funder_award_id":"P 35813","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G721245711","display_name":null,"funder_award_id":"DMS-2107808","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G7259844785","display_name":null,"funder_award_id":"CCF-1839252","funder_id":"https://openalex.org/F4320337387","funder_display_name":"Division of Computing and Communication Foundations"},{"id":"https://openalex.org/G7611068815","display_name":null,"funder_award_id":"1945224","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"},{"id":"https://openalex.org/F4320337387","display_name":"Division of Computing and Communication Foundations","ror":"https://ror.org/01mng8331"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W1503893179","https://openalex.org/W1583594236","https://openalex.org/W1591473593","https://openalex.org/W1592457332","https://openalex.org/W1889964587","https://openalex.org/W1985415289","https://openalex.org/W1988167023","https://openalex.org/W2005880216","https://openalex.org/W2031813546","https://openalex.org/W2043260746","https://openalex.org/W2052332998","https://openalex.org/W2079637049","https://openalex.org/W2090903445","https://openalex.org/W2093834886","https://openalex.org/W2093976044","https://openalex.org/W2095444191","https://openalex.org/W2132630784","https://openalex.org/W2165168736","https://openalex.org/W2165844313","https://openalex.org/W2169495281","https://openalex.org/W2529762274","https://openalex.org/W2621358153","https://openalex.org/W2801678711","https://openalex.org/W2963178911","https://openalex.org/W2963323484","https://openalex.org/W2963467432","https://openalex.org/W2968460698","https://openalex.org/W2969656782","https://openalex.org/W2987974761","https://openalex.org/W3011337740","https://openalex.org/W3098610175","https://openalex.org/W3100312820","https://openalex.org/W3101149199","https://openalex.org/W3101979932","https://openalex.org/W3183720281","https://openalex.org/W4206388587","https://openalex.org/W4210880854","https://openalex.org/W4245807314","https://openalex.org/W4292159986","https://openalex.org/W4312444114","https://openalex.org/W4320068442","https://openalex.org/W6603867535","https://openalex.org/W6608923738","https://openalex.org/W6617751065","https://openalex.org/W6859103034"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
