{"id":"https://openalex.org/W2924383149","doi":"https://doi.org/10.1007/s10208-020-09484-7","title":"Metrics, Quantization and Registration in Varifold Spaces","display_name":"Metrics, Quantization and Registration in Varifold Spaces","publication_year":2021,"publication_date":"2021-01-07","ids":{"openalex":"https://openalex.org/W2924383149","doi":"https://doi.org/10.1007/s10208-020-09484-7","mag":"2924383149"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-020-09484-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-020-09484-7","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1903.11196","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068532249","display_name":"Hsi-Wei Hsieh","orcid":null},"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":"Hsi-Wei Hsieh","raw_affiliation_strings":["Department of Applied Mathematics and Statistics, Johns Hopkins University, Clark Hall, Rm 320A, 3400 N. Charles St., Baltimore, MD, 21218, USA","Department of Applied Mathematics and Statistics, Johns Hopkins University, Baltimore, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, Johns Hopkins University, Clark Hall, Rm 320A, 3400 N. Charles St., Baltimore, MD, 21218, USA","institution_ids":["https://openalex.org/I145311948"]},{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, Johns Hopkins University, Baltimore, USA#TAB#","institution_ids":["https://openalex.org/I145311948"]}]},{"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":["Department of Applied Mathematics and Statistics, Johns Hopkins University, Clark Hall, Rm 320A, 3400 N. Charles St., Baltimore, MD, 21218, USA","Department of Applied Mathematics and Statistics, Johns Hopkins University, Baltimore, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, Johns Hopkins University, Clark Hall, Rm 320A, 3400 N. Charles St., Baltimore, MD, 21218, USA","institution_ids":["https://openalex.org/I145311948"]},{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, Johns Hopkins University, Baltimore, USA#TAB#","institution_ids":["https://openalex.org/I145311948"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5068532249"],"corresponding_institution_ids":["https://openalex.org/I145311948"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4549,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.49300313,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"21","issue":"5","first_page":"1317","last_page":"1361"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.9923999905586243,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9904999732971191,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/diffeomorphism","display_name":"Diffeomorphism","score":0.7396865487098694},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5369183421134949},{"id":"https://openalex.org/keywords/quantization","display_name":"Quantization (signal processing)","score":0.5224215388298035},{"id":"https://openalex.org/keywords/image-registration","display_name":"Image registration","score":0.4212051331996918},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4061846137046814},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3628671169281006},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3426082730293274},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30673545598983765},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2763839364051819},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18487516045570374},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.09148451685905457}],"concepts":[{"id":"https://openalex.org/C47556283","wikidata":"https://www.wikidata.org/wiki/Q1058314","display_name":"Diffeomorphism","level":2,"score":0.7396865487098694},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5369183421134949},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.5224215388298035},{"id":"https://openalex.org/C166704113","wikidata":"https://www.wikidata.org/wiki/Q861092","display_name":"Image registration","level":3,"score":0.4212051331996918},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4061846137046814},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3628671169281006},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3426082730293274},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30673545598983765},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2763839364051819},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18487516045570374},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.09148451685905457}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10208-020-09484-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-020-09484-7","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1903.11196","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1903.11196","pdf_url":"https://arxiv.org/pdf/1903.11196","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":"","raw_type":"text"},{"id":"mag:2924383149","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1903.11196","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1903.11196","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1903.11196","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1903.11196","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1903.11196","pdf_url":"https://arxiv.org/pdf/1903.11196","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W586270867","https://openalex.org/W1003778128","https://openalex.org/W1480376833","https://openalex.org/W1480714962","https://openalex.org/W1518080868","https://openalex.org/W1522020530","https://openalex.org/W1534370115","https://openalex.org/W1543220894","https://openalex.org/W1552798482","https://openalex.org/W1576475658","https://openalex.org/W1593038947","https://openalex.org/W1986280275","https://openalex.org/W2013176880","https://openalex.org/W2030669466","https://openalex.org/W2031073504","https://openalex.org/W2038056514","https://openalex.org/W2047868498","https://openalex.org/W2050777895","https://openalex.org/W2052017695","https://openalex.org/W2055289854","https://openalex.org/W2067470376","https://openalex.org/W2082252207","https://openalex.org/W2093010642","https://openalex.org/W2093027094","https://openalex.org/W2099973661","https://openalex.org/W2124116628","https://openalex.org/W2170167891","https://openalex.org/W2171883843","https://openalex.org/W2321980691","https://openalex.org/W2424389834","https://openalex.org/W2462331033","https://openalex.org/W2463240540","https://openalex.org/W2528005577","https://openalex.org/W2558299976","https://openalex.org/W2626618681","https://openalex.org/W2741275949","https://openalex.org/W2742080937","https://openalex.org/W2786270934","https://openalex.org/W2795393580","https://openalex.org/W2796225815","https://openalex.org/W2953028184","https://openalex.org/W2963466111","https://openalex.org/W2963832103","https://openalex.org/W2963973173","https://openalex.org/W2964012263","https://openalex.org/W2971660919","https://openalex.org/W3101810914","https://openalex.org/W3104083242","https://openalex.org/W3181383200","https://openalex.org/W3206777520","https://openalex.org/W4252400669","https://openalex.org/W4253577938","https://openalex.org/W4299350478","https://openalex.org/W6829689675"],"related_works":["https://openalex.org/W1811245242","https://openalex.org/W2744502167","https://openalex.org/W2413580138","https://openalex.org/W2963856196","https://openalex.org/W100057467","https://openalex.org/W2902596643","https://openalex.org/W2180990334","https://openalex.org/W2625334494","https://openalex.org/W2997823328","https://openalex.org/W2808058004","https://openalex.org/W2806188096","https://openalex.org/W2474265885","https://openalex.org/W2977662636","https://openalex.org/W2806612659","https://openalex.org/W2501263300","https://openalex.org/W2967600135","https://openalex.org/W1585828804","https://openalex.org/W3159561469","https://openalex.org/W2125714943","https://openalex.org/W2244518452"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}