{"id":"https://openalex.org/W2615990097","doi":"https://doi.org/10.1007/s10851-019-00896-x","title":"Currents and Finite Elements as Tools for Shape Space","display_name":"Currents and Finite Elements as Tools for Shape Space","publication_year":2019,"publication_date":"2019-08-19","ids":{"openalex":"https://openalex.org/W2615990097","doi":"https://doi.org/10.1007/s10851-019-00896-x","mag":"2615990097"},"language":"en","primary_location":{"id":"doi:10.1007/s10851-019-00896-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-019-00896-x","pdf_url":null,"source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"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 Mathematical Imaging and Vision","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1702.02780","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"James Benn","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"James Benn","raw_affiliation_strings":["Palmerston North, New Zealand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Palmerston North, New Zealand","institution_ids":[]}]},{"author_position":"middle","author":{"id":null,"display_name":"Stephen Marsland","orcid":"https://orcid.org/0000-0002-9568-848X"},"institutions":[{"id":"https://openalex.org/I41156924","display_name":"Victoria University of Wellington","ror":"https://ror.org/0040r6f76","country_code":"NZ","type":"education","lineage":["https://openalex.org/I41156924"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"Stephen Marsland","raw_affiliation_strings":["School of Mathematics and Statistics, Victoria University of Wellington, Wellington, New Zealand"],"raw_orcid":"https://orcid.org/0000-0002-9568-848X","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Victoria University of Wellington, Wellington, New Zealand","institution_ids":["https://openalex.org/I41156924"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Robert I. McLachlan","orcid":null},"institutions":[{"id":"https://openalex.org/I51158804","display_name":"Massey University","ror":"https://ror.org/052czxv31","country_code":"NZ","type":"education","lineage":["https://openalex.org/I51158804"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"Robert I. McLachlan","raw_affiliation_strings":["Institute of Fundamental Sciences, Massey University, Palmerston North, New Zealand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Fundamental Sciences, Massey University, Palmerston North, New Zealand","institution_ids":["https://openalex.org/I51158804"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Klas Modin","orcid":null},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]},{"id":"https://openalex.org/I881427289","display_name":"University of Gothenburg","ror":"https://ror.org/01tm6cn81","country_code":"SE","type":"education","lineage":["https://openalex.org/I881427289"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Klas Modin","raw_affiliation_strings":["Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, Gothenburg, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, Gothenburg, Sweden","institution_ids":["https://openalex.org/I66862912","https://openalex.org/I881427289"]}]},{"author_position":"last","author":{"id":null,"display_name":"Olivier Verdier","orcid":null},"institutions":[{"id":"https://openalex.org/I179863766","display_name":"Western Norway University of Applied Sciences","ror":"https://ror.org/05phns765","country_code":"NO","type":"education","lineage":["https://openalex.org/I179863766"]},{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["NO","SE"],"is_corresponding":true,"raw_author_name":"Olivier Verdier","raw_affiliation_strings":["Department of Computing, Mathematics and Physics, Western Norway University of Applied Sciences, Bergen, Norway","Department of Mathematics, KTH, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computing, Mathematics and Physics, Western Norway University of Applied Sciences, Bergen, Norway","institution_ids":["https://openalex.org/I179863766"]},{"raw_affiliation_string":"Department of Mathematics, KTH, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I179863766","https://openalex.org/I41156924","https://openalex.org/I51158804","https://openalex.org/I66862912","https://openalex.org/I86987016","https://openalex.org/I881427289"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.1984,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.50210668,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"61","issue":"8","first_page":"1197","last_page":"1220"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.4309000074863434,"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"}},"topics":[{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.4309000074863434,"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"}},{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.2687999904155731,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.058800000697374344,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/discretization","display_name":"Discretization","score":0.7135000228881836},{"id":"https://openalex.org/keywords/current","display_name":"Current (fluid)","score":0.6176999807357788},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6067000031471252},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4927999973297119},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.49239999055862427},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4916999936103821},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.4848000109195709},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.4756999909877777}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7135000228881836},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6837999820709229},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.6176999807357788},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6067000031471252},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4927999973297119},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.49239999055862427},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4916999936103821},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.4848000109195709},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.4756999909877777},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.460099995136261},{"id":"https://openalex.org/C112604564","wikidata":"https://www.wikidata.org/wiki/Q7489226","display_name":"Shape analysis (program analysis)","level":3,"score":0.42750000953674316},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.41190001368522644},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3901999890804291},{"id":"https://openalex.org/C29513896","wikidata":"https://www.wikidata.org/wiki/Q7489239","display_name":"Shape optimization","level":3,"score":0.3862000107765198},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.38019999861717224},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.3750999867916107},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3707999885082245},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.3248000144958496},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.32019999623298645},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2971000075340271},{"id":"https://openalex.org/C7305733","wikidata":"https://www.wikidata.org/wiki/Q207961","display_name":"Geometric shape","level":2,"score":0.2939999997615814},{"id":"https://openalex.org/C129641003","wikidata":"https://www.wikidata.org/wiki/Q267189","display_name":"Active shape model","level":3,"score":0.26010000705718994},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.25619998574256897},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.25119999051094055}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10851-019-00896-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-019-00896-x","pdf_url":null,"source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"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 Mathematical Imaging and Vision","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1702.02780","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1702.02780","pdf_url":"https://arxiv.org/pdf/1702.02780","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":"pmh:oai:research.chalmers.se:512240","is_oa":false,"landing_page_url":"https://research.chalmers.se/en/publication/512240","pdf_url":null,"source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1702.02780","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1702.02780","pdf_url":"https://arxiv.org/pdf/1702.02780","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":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2615990097.pdf","grobid_xml":"https://content.openalex.org/works/W2615990097.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W227029647","https://openalex.org/W1534370115","https://openalex.org/W1543220894","https://openalex.org/W1634499993","https://openalex.org/W1638384496","https://openalex.org/W1835536927","https://openalex.org/W1978460470","https://openalex.org/W2005880216","https://openalex.org/W2031073504","https://openalex.org/W2040192961","https://openalex.org/W2052017695","https://openalex.org/W2126479355","https://openalex.org/W2132630784","https://openalex.org/W2170167891","https://openalex.org/W2741275949","https://openalex.org/W2742080937","https://openalex.org/W2901567556","https://openalex.org/W4245654886","https://openalex.org/W4245698330"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2017-05-26T00:00:00"}