{"id":"https://openalex.org/W2062645414","doi":"https://doi.org/10.1016/s0893-6080(96)00125-6","title":"The Local Structure of Space-variant Images","display_name":"The Local Structure of Space-variant Images","publication_year":1997,"publication_date":"1997-07-01","ids":{"openalex":"https://openalex.org/W2062645414","doi":"https://doi.org/10.1016/s0893-6080(96)00125-6","mag":"2062645414","pmid":"https://pubmed.ncbi.nlm.nih.gov/12662872"},"language":"en","primary_location":{"id":"doi:10.1016/s0893-6080(96)00125-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0893-6080(96)00125-6","pdf_url":null,"source":{"id":"https://openalex.org/S123019304","display_name":"Neural Networks","issn_l":"0893-6080","issn":["0893-6080","1879-2782"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Networks","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022799533","display_name":"Bruce Fischl","orcid":"https://orcid.org/0000-0002-2413-1115"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bruce Fischl","raw_affiliation_strings":["[Boston University, USA]"],"affiliations":[{"raw_affiliation_string":"[Boston University, USA]","institution_ids":["https://openalex.org/I111088046"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103474461","display_name":"Michael A. Cohen","orcid":null},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael A. Cohen","raw_affiliation_strings":["[Boston University, USA]"],"affiliations":[{"raw_affiliation_string":"[Boston University, USA]","institution_ids":["https://openalex.org/I111088046"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5104349267","display_name":"Eric L. Schwartz","orcid":null},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eric L. Schwartz","raw_affiliation_strings":["Boston University, USA","[Boston University, USA]"],"affiliations":[{"raw_affiliation_string":"Boston University, USA","institution_ids":["https://openalex.org/I111088046"]},{"raw_affiliation_string":"[Boston University, USA]","institution_ids":["https://openalex.org/I111088046"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5022799533"],"corresponding_institution_ids":["https://openalex.org/I111088046"],"apc_list":{"value":3350,"currency":"USD","value_usd":3350},"apc_paid":null,"fwci":2.6134,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.90215861,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"10","issue":"5","first_page":"815","last_page":"831"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12859","display_name":"Cell Image Analysis Techniques","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12859","display_name":"Cell Image Analysis Techniques","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9736999869346619,"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/T11019","display_name":"Image Enhancement Techniques","score":0.9635000228881836,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5712805986404419},{"id":"https://openalex.org/keywords/scale-space","display_name":"Scale space","score":0.5420656204223633},{"id":"https://openalex.org/keywords/differential-operator","display_name":"Differential operator","score":0.5284476280212402},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4943995475769043},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4858812689781189},{"id":"https://openalex.org/keywords/coordinate-space","display_name":"Coordinate space","score":0.4846285283565521},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.48108312487602234},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.47043082118034363},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46050119400024414},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4429927468299866},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4121077358722687},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3542218804359436},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.34438401460647583},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.331160306930542},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.3274712562561035},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32605892419815063},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2453187108039856},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21646538376808167},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19383123517036438}],"concepts":[{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5712805986404419},{"id":"https://openalex.org/C99102927","wikidata":"https://www.wikidata.org/wiki/Q3058184","display_name":"Scale space","level":4,"score":0.5420656204223633},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.5284476280212402},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4943995475769043},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4858812689781189},{"id":"https://openalex.org/C162291796","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Coordinate space","level":2,"score":0.4846285283565521},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.48108312487602234},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.47043082118034363},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46050119400024414},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4429927468299866},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4121077358722687},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3542218804359436},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34438401460647583},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.331160306930542},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.3274712562561035},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32605892419815063},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2453187108039856},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21646538376808167},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19383123517036438},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0893-6080(96)00125-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0893-6080(96)00125-6","pdf_url":null,"source":{"id":"https://openalex.org/S123019304","display_name":"Neural Networks","issn_l":"0893-6080","issn":["0893-6080","1879-2782"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Networks","raw_type":"journal-article"},{"id":"pmid:12662872","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/12662872","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural networks : the official journal of the International Neural Network Society","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":75,"referenced_works":["https://openalex.org/W22111444","https://openalex.org/W177647790","https://openalex.org/W194536078","https://openalex.org/W1479828757","https://openalex.org/W1518770753","https://openalex.org/W1565212980","https://openalex.org/W1598951927","https://openalex.org/W1611256794","https://openalex.org/W1848181806","https://openalex.org/W1967090329","https://openalex.org/W1970393892","https://openalex.org/W1970544745","https://openalex.org/W1977153591","https://openalex.org/W1978052431","https://openalex.org/W1979971871","https://openalex.org/W1981848266","https://openalex.org/W1983818753","https://openalex.org/W2002302758","https://openalex.org/W2003198209","https://openalex.org/W2003342624","https://openalex.org/W2005068683","https://openalex.org/W2007035275","https://openalex.org/W2011937936","https://openalex.org/W2013332568","https://openalex.org/W2014008613","https://openalex.org/W2014420431","https://openalex.org/W2015206503","https://openalex.org/W2017540477","https://openalex.org/W2018108939","https://openalex.org/W2018952052","https://openalex.org/W2020999234","https://openalex.org/W2022735534","https://openalex.org/W2023160887","https://openalex.org/W2031242793","https://openalex.org/W2036886326","https://openalex.org/W2039432243","https://openalex.org/W2057220024","https://openalex.org/W2059795682","https://openalex.org/W2070513623","https://openalex.org/W2078938358","https://openalex.org/W2081360048","https://openalex.org/W2095241361","https://openalex.org/W2098151927","https://openalex.org/W2099053248","https://openalex.org/W2102538343","https://openalex.org/W2113094073","https://openalex.org/W2115905020","https://openalex.org/W2116609734","https://openalex.org/W2120959665","https://openalex.org/W2122374128","https://openalex.org/W2123340620","https://openalex.org/W2146052399","https://openalex.org/W2150134853","https://openalex.org/W2163111080","https://openalex.org/W2165252576","https://openalex.org/W2167754732","https://openalex.org/W2171261548","https://openalex.org/W2482176195","https://openalex.org/W2747332369","https://openalex.org/W2752386736","https://openalex.org/W2797819118","https://openalex.org/W2994466992","https://openalex.org/W3011612142","https://openalex.org/W3216388472","https://openalex.org/W4205716522","https://openalex.org/W4235611299","https://openalex.org/W4236712637","https://openalex.org/W4244389630","https://openalex.org/W4321142587","https://openalex.org/W6600940374","https://openalex.org/W6665393759","https://openalex.org/W6670261938","https://openalex.org/W6744338239","https://openalex.org/W6776161777","https://openalex.org/W6804804313"],"related_works":["https://openalex.org/W3111677651","https://openalex.org/W2080322084","https://openalex.org/W2005185696","https://openalex.org/W2544283655","https://openalex.org/W2533072256","https://openalex.org/W4312753625","https://openalex.org/W23451984","https://openalex.org/W2161229648","https://openalex.org/W2150366753","https://openalex.org/W2062645414"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2016-06-24T00:00:00"}