{"id":"https://openalex.org/W3000325381","doi":"https://doi.org/10.1109/ieeeconf44664.2019.9049031","title":"An inexact matching approach for the comparison of plane curves with general elastic metrics","display_name":"An inexact matching approach for the comparison of plane curves with general elastic metrics","publication_year":2019,"publication_date":"2019-11-01","ids":{"openalex":"https://openalex.org/W3000325381","doi":"https://doi.org/10.1109/ieeeconf44664.2019.9049031","mag":"3000325381"},"language":"en","primary_location":{"id":"doi:10.1109/ieeeconf44664.2019.9049031","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ieeeconf44664.2019.9049031","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 53rd Asilomar Conference on Signals, Systems, and Computers","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2001.02858","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066533620","display_name":"Yashil Sukurdeep","orcid":"https://orcid.org/0000-0002-4980-4291"},"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"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yashil Sukurdeep","raw_affiliation_strings":["Johns Hopkins University,Department of Applied Mathematics,Baltimore,USA","Department of Applied Mathematics, Johns Hopkins University, Baltimore, USA"],"affiliations":[{"raw_affiliation_string":"Johns Hopkins University,Department of Applied Mathematics,Baltimore,USA","institution_ids":["https://openalex.org/I145311948"]},{"raw_affiliation_string":"Department of Applied Mathematics, Johns Hopkins University, Baltimore, USA","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"middle","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"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Martin Bauer","raw_affiliation_strings":["Florida State University,Department of Mathematics,Tallahassee,USA","Department of Mathematics, Florida State University, Tallahassee, USA"],"affiliations":[{"raw_affiliation_string":"Florida State University,Department of Mathematics,Tallahassee,USA","institution_ids":["https://openalex.org/I103163165"]},{"raw_affiliation_string":"Department of Mathematics, Florida State University, Tallahassee, USA","institution_ids":["https://openalex.org/I103163165"]}]},{"author_position":"last","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"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nicolas Charon","raw_affiliation_strings":["Johns Hopkins University,Department of Applied Mathematics,Baltimore,USA","Department of Applied Mathematics, Johns Hopkins University, Baltimore, USA"],"affiliations":[{"raw_affiliation_string":"Johns Hopkins University,Department of Applied Mathematics,Baltimore,USA","institution_ids":["https://openalex.org/I145311948"]},{"raw_affiliation_string":"Department of Applied Mathematics, Johns Hopkins University, Baltimore, USA","institution_ids":["https://openalex.org/I145311948"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5066533620"],"corresponding_institution_ids":["https://openalex.org/I145311948"],"apc_list":null,"apc_paid":null,"fwci":1.1382,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.78467433,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2019","issue":null,"first_page":"512","last_page":"516"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.9997000098228455,"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":0.9997000098228455,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9884999990463257,"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/T10535","display_name":"Landslides and related hazards","score":0.9675999879837036,"subfield":{"id":"https://openalex.org/subfields/2308","display_name":"Management, Monitoring, Policy and Law"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.7518677711486816},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6901082992553711},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6182185411453247},{"id":"https://openalex.org/keywords/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.5382713079452515},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5185683369636536},{"id":"https://openalex.org/keywords/fidelity","display_name":"Fidelity","score":0.5087836384773254},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.49267393350601196},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4915400445461273},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4728945791721344},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4628218114376068},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4541080594062805},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.44641223549842834},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43893951177597046},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4216843843460083},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.414445161819458},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3734475076198578},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17891860008239746},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14131054282188416}],"concepts":[{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.7518677711486816},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6901082992553711},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6182185411453247},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.5382713079452515},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5185683369636536},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.5087836384773254},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.49267393350601196},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4915400445461273},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4728945791721344},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4628218114376068},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4541080594062805},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.44641223549842834},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43893951177597046},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4216843843460083},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.414445161819458},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3734475076198578},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17891860008239746},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14131054282188416},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/ieeeconf44664.2019.9049031","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ieeeconf44664.2019.9049031","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 53rd Asilomar Conference on Signals, Systems, and Computers","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2001.02858","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2001.02858","pdf_url":"https://arxiv.org/pdf/2001.02858","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"mag:3202768103","is_oa":false,"landing_page_url":"https://jglobal.jst.go.jp/en/detail?JGLOBAL_ID=202002290079702982","pdf_url":null,"source":{"id":"https://openalex.org/S4306512817","display_name":"IEEE Conference Proceedings","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"IEEE Conference Proceedings","raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2001.02858","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2001.02858","pdf_url":"https://arxiv.org/pdf/2001.02858","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1534370115","https://openalex.org/W1988167023","https://openalex.org/W2005880216","https://openalex.org/W2043260746","https://openalex.org/W2052017695","https://openalex.org/W2093976044","https://openalex.org/W2095444191","https://openalex.org/W2160971072","https://openalex.org/W2165168736","https://openalex.org/W2529762274","https://openalex.org/W2741275949","https://openalex.org/W2794673315","https://openalex.org/W2962976861","https://openalex.org/W2963350927","https://openalex.org/W2963728669","https://openalex.org/W2971013082","https://openalex.org/W2971660919","https://openalex.org/W3100312820","https://openalex.org/W3101810914","https://openalex.org/W3101979932","https://openalex.org/W3125879488","https://openalex.org/W4301773513"],"related_works":["https://openalex.org/W2153421756","https://openalex.org/W2054489697","https://openalex.org/W2077818434","https://openalex.org/W2361081803","https://openalex.org/W2006251942","https://openalex.org/W2036241269","https://openalex.org/W2109057766","https://openalex.org/W4250375811","https://openalex.org/W2364741597","https://openalex.org/W2078644396"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"a":[3,42,63,74,90],"new":[4],"mathematical":[5],"formulation":[6,57],"and":[7,15,38,70],"numerical":[8,93],"approach":[9,22,76],"for":[10,28,67],"the":[11,24,45],"computation":[12],"of":[13,44,55],"distances":[14],"geodesics":[16],"between":[17],"immersed":[18],"planar":[19],"curves.":[20],"Our":[21],"combines":[23],"general":[25],"simplifying":[26],"transform":[27],"first-order":[29],"elastic":[30],"metrics":[31],"that":[32,59,71],"was":[33],"recently":[34],"introduced":[35],"by":[36],"Kurtek":[37],"Needham,":[39],"together":[40],"with":[41,79],"relaxation":[43],"matching":[46],"constraint":[47],"using":[48],"parametrization-invariant":[49],"fidelity":[50],"metrics.":[51],"The":[52],"main":[53],"advantages":[54],"this":[56],"are":[58,87],"it":[60,72],"leads":[61],"to":[62,77],"simple":[64],"optimization":[65],"problem":[66],"discretized":[68],"curves,":[69],"provides":[73],"flexible":[75],"deal":[78],"noisy,":[80],"inconsistent":[81],"or":[82],"corrupted":[83],"data.":[84],"These":[85],"benefits":[86],"illustrated":[88],"via":[89],"few":[91],"preliminary":[92],"results.":[94]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}