{"id":"https://openalex.org/W2550509718","doi":"https://doi.org/10.1007/s10851-017-0729-1","title":"Multi-scale Anisotropic Fourth-Order Diffusion Improves Ridge and Valley Localization","display_name":"Multi-scale Anisotropic Fourth-Order Diffusion Improves Ridge and Valley Localization","publication_year":2017,"publication_date":"2017-04-11","ids":{"openalex":"https://openalex.org/W2550509718","doi":"https://doi.org/10.1007/s10851-017-0729-1","mag":"2550509718"},"language":"en","primary_location":{"id":"doi:10.1007/s10851-017-0729-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-017-0729-1","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":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1611.06906","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Shekoufeh Gorgi\u00a0Zadeh","orcid":"https://orcid.org/0000-0002-3314-2262"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Shekoufeh Gorgi\u00a0Zadeh","raw_affiliation_strings":["Institute of Computer Science II, University of Bonn, Bonn, Germany"],"raw_orcid":"https://orcid.org/0000-0002-3314-2262","affiliations":[{"raw_affiliation_string":"Institute of Computer Science II, University of Bonn, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Stephan Didas","orcid":null},"institutions":[{"id":"https://openalex.org/I137932638","display_name":"Trier University of Applied Sciences","ror":"https://ror.org/02e3hdx05","country_code":"DE","type":"education","lineage":["https://openalex.org/I137932638"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stephan Didas","raw_affiliation_strings":["Umwelt-Campus Birkenfeld, Hochschule Trier, Birkenfeld, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Umwelt-Campus Birkenfeld, Hochschule Trier, Birkenfeld, Germany","institution_ids":["https://openalex.org/I137932638"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Maximilian W. M. Wintergerst","orcid":null},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Maximilian W. M. Wintergerst","raw_affiliation_strings":["Department of Ophthalmology, University of Bonn, Bonn, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Ophthalmology, University of Bonn, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"last","author":{"id":null,"display_name":"Thomas Schultz","orcid":"https://orcid.org/0000-0002-1200-7248"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Schultz","raw_affiliation_strings":["Institute of Computer Science II, University of Bonn, Bonn, Germany"],"raw_orcid":"https://orcid.org/0000-0002-1200-7248","affiliations":[{"raw_affiliation_string":"Institute of Computer Science II, University of Bonn, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I135140700"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.2773,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.61991947,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"59","issue":"2","first_page":"257","last_page":"269"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.3140999972820282,"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":0.3140999972820282,"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/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.0925000011920929,"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"}},{"id":"https://openalex.org/T11438","display_name":"Retinal Imaging and Analysis","score":0.06710000336170197,"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/hessian-matrix","display_name":"Hessian matrix","score":0.8392999768257141},{"id":"https://openalex.org/keywords/sharpening","display_name":"Sharpening","score":0.8282999992370605},{"id":"https://openalex.org/keywords/anisotropic-diffusion","display_name":"Anisotropic diffusion","score":0.8159000277519226},{"id":"https://openalex.org/keywords/ridge","display_name":"Ridge","score":0.7171000242233276},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.6757000088691711},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.5910999774932861},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5751000046730042},{"id":"https://openalex.org/keywords/structure-tensor","display_name":"Structure tensor","score":0.5741000175476074},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.48489999771118164},{"id":"https://openalex.org/keywords/tortuosity","display_name":"Tortuosity","score":0.48100000619888306}],"concepts":[{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.8392999768257141},{"id":"https://openalex.org/C2781137444","wikidata":"https://www.wikidata.org/wiki/Q237105","display_name":"Sharpening","level":2,"score":0.8282999992370605},{"id":"https://openalex.org/C203504353","wikidata":"https://www.wikidata.org/wiki/Q4765461","display_name":"Anisotropic diffusion","level":3,"score":0.8159000277519226},{"id":"https://openalex.org/C32277403","wikidata":"https://www.wikidata.org/wiki/Q740445","display_name":"Ridge","level":2,"score":0.7171000242233276},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.6757000088691711},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.5910999774932861},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5751000046730042},{"id":"https://openalex.org/C113315163","wikidata":"https://www.wikidata.org/wiki/Q7625159","display_name":"Structure tensor","level":3,"score":0.5741000175476074},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.48489999771118164},{"id":"https://openalex.org/C185250623","wikidata":"https://www.wikidata.org/wiki/Q2301683","display_name":"Tortuosity","level":3,"score":0.48100000619888306},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4702000021934509},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.4699999988079071},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4643000066280365},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4348999857902527},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.42739999294281006},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4223000109195709},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.4156000018119812},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.39800000190734863},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39480000734329224},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3855000138282776},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3799000084400177},{"id":"https://openalex.org/C149550507","wikidata":"https://www.wikidata.org/wiki/Q899360","display_name":"Diffusion MRI","level":3,"score":0.3693000078201294},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3630000054836273},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36250001192092896},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.3492000102996826},{"id":"https://openalex.org/C2779304628","wikidata":"https://www.wikidata.org/wiki/Q3503480","display_name":"Face (sociological concept)","level":2,"score":0.3411000072956085},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.32409998774528503},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.3181000053882599},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.3111000061035156},{"id":"https://openalex.org/C2776391266","wikidata":"https://www.wikidata.org/wiki/Q9612","display_name":"Fundus (uterus)","level":2,"score":0.29429998993873596},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.2867000102996826},{"id":"https://openalex.org/C100515483","wikidata":"https://www.wikidata.org/wiki/Q3268235","display_name":"Filter bank","level":3,"score":0.2825999855995178},{"id":"https://openalex.org/C160920958","wikidata":"https://www.wikidata.org/wiki/Q7662746","display_name":"Synthetic data","level":2,"score":0.26600000262260437},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.25949999690055847},{"id":"https://openalex.org/C199631012","wikidata":"https://www.wikidata.org/wiki/Q205034","display_name":"Perpendicular","level":2,"score":0.2563000023365021}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10851-017-0729-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-017-0729-1","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:1611.06906","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1611.06906","pdf_url":"https://arxiv.org/pdf/1611.06906","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1611.06906","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1611.06906","pdf_url":"https://arxiv.org/pdf/1611.06906","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":33,"referenced_works":["https://openalex.org/W105225125","https://openalex.org/W264936753","https://openalex.org/W1481363925","https://openalex.org/W1495971627","https://openalex.org/W1499409922","https://openalex.org/W1969713670","https://openalex.org/W1977472541","https://openalex.org/W1992155723","https://openalex.org/W2000367729","https://openalex.org/W2000551446","https://openalex.org/W2003352936","https://openalex.org/W2023292900","https://openalex.org/W2069947795","https://openalex.org/W2080883550","https://openalex.org/W2099275521","https://openalex.org/W2107703031","https://openalex.org/W2107876242","https://openalex.org/W2107910057","https://openalex.org/W2111377429","https://openalex.org/W2122287830","https://openalex.org/W2126899470","https://openalex.org/W2129534965","https://openalex.org/W2135036909","https://openalex.org/W2147856841","https://openalex.org/W2150134853","https://openalex.org/W2150528304","https://openalex.org/W2151676774","https://openalex.org/W2160754664","https://openalex.org/W2161214672","https://openalex.org/W2294957811","https://openalex.org/W2334170987","https://openalex.org/W2552966320","https://openalex.org/W4211145850"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-11-30T00:00:00"}
