{"id":"https://openalex.org/W2191607965","doi":"https://doi.org/10.1007/s10851-016-0685-1","title":"Multigrid Convergence for the MDCA Curvature Estimator","display_name":"Multigrid Convergence for the MDCA Curvature Estimator","publication_year":2016,"publication_date":"2016-09-23","ids":{"openalex":"https://openalex.org/W2191607965","doi":"https://doi.org/10.1007/s10851-016-0685-1","mag":"2191607965"},"language":"en","primary_location":{"id":"doi:10.1007/s10851-016-0685-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-016-0685-1","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1510.00678","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061315225","display_name":"Andreas Schindele","orcid":"https://orcid.org/0009-0003-8738-7622"},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Andreas Schindele","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, Julius-Maximilians Universit\u00e4t W\u00fcrzburg, W\u00fcrzburg, Germany","Faculty of Mathematics and Computer Science, Julius Maximilians Universit\u00e4t W\u00fcrzburg, W\u00fcrzburg, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Julius-Maximilians Universit\u00e4t W\u00fcrzburg, W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]},{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Julius Maximilians Universit\u00e4t W\u00fcrzburg, W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077984951","display_name":"Peter Massopust","orcid":"https://orcid.org/0000-0002-5466-1336"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Peter Massopust","raw_affiliation_strings":["Department of Mathematics, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany","Department of Mathematics, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Department of Mathematics, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany#TAB#","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011678187","display_name":"Brigitte Forster","orcid":"https://orcid.org/0000-0002-7586-2970"},"institutions":[{"id":"https://openalex.org/I186354981","display_name":"University of Passau","ror":"https://ror.org/05ydjnb78","country_code":"DE","type":"education","lineage":["https://openalex.org/I186354981"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Brigitte Forster","raw_affiliation_strings":["Faculty of Computer Science and Mathematics, Universit\u00e4t Passau, Passau, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science and Mathematics, Universit\u00e4t Passau, Passau, Germany","institution_ids":["https://openalex.org/I186354981"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5061315225"],"corresponding_institution_ids":["https://openalex.org/I25974101"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00193699,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"57","issue":"3","first_page":"423","last_page":"438"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9998000264167786,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9998000264167786,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9993000030517578,"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/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.817213773727417},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6649286150932312},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6490969657897949},{"id":"https://openalex.org/keywords/center-of-curvature","display_name":"Center of curvature","score":0.5005536079406738},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4711253345012665},{"id":"https://openalex.org/keywords/mean-curvature-flow","display_name":"Mean curvature flow","score":0.4696487784385681},{"id":"https://openalex.org/keywords/total-curvature","display_name":"Total curvature","score":0.46731752157211304},{"id":"https://openalex.org/keywords/mean-curvature","display_name":"Mean curvature","score":0.46296003460884094},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4606149196624756},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.42946887016296387},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4024781286716461},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.32542067766189575},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08022424578666687}],"concepts":[{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.817213773727417},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6649286150932312},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6490969657897949},{"id":"https://openalex.org/C161223928","wikidata":"https://www.wikidata.org/wiki/Q3775868","display_name":"Center of curvature","level":4,"score":0.5005536079406738},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4711253345012665},{"id":"https://openalex.org/C127813850","wikidata":"https://www.wikidata.org/wiki/Q6803617","display_name":"Mean curvature flow","level":4,"score":0.4696487784385681},{"id":"https://openalex.org/C16063025","wikidata":"https://www.wikidata.org/wiki/Q4370338","display_name":"Total curvature","level":5,"score":0.46731752157211304},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.46296003460884094},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4606149196624756},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.42946887016296387},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4024781286716461},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.32542067766189575},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08022424578666687},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10851-016-0685-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-016-0685-1","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:1510.00678","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1510.00678","pdf_url":"https://arxiv.org/pdf/1510.00678","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:2191607965","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1510.00678","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.1510.00678","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1510.00678","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:1510.00678","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1510.00678","pdf_url":"https://arxiv.org/pdf/1510.00678","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":18,"referenced_works":["https://openalex.org/W103814273","https://openalex.org/W162393450","https://openalex.org/W1594020278","https://openalex.org/W1757236967","https://openalex.org/W1977930370","https://openalex.org/W1981398227","https://openalex.org/W1995262416","https://openalex.org/W2023029818","https://openalex.org/W2023938581","https://openalex.org/W2028416467","https://openalex.org/W2039083003","https://openalex.org/W2043843757","https://openalex.org/W2063312355","https://openalex.org/W2067257899","https://openalex.org/W2097763516","https://openalex.org/W2146533878","https://openalex.org/W2176782066","https://openalex.org/W4213370051"],"related_works":["https://openalex.org/W2069626622","https://openalex.org/W2790542281","https://openalex.org/W21847913","https://openalex.org/W2024907912","https://openalex.org/W1903265043","https://openalex.org/W3163544960","https://openalex.org/W2754527219","https://openalex.org/W2043843757","https://openalex.org/W3101259191","https://openalex.org/W2019236965","https://openalex.org/W2895295181","https://openalex.org/W2538023281","https://openalex.org/W3187152851","https://openalex.org/W3151826764","https://openalex.org/W2103671504","https://openalex.org/W3022749196","https://openalex.org/W2557179416","https://openalex.org/W2951555137","https://openalex.org/W91671232","https://openalex.org/W2779961498"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
