{"id":"https://openalex.org/W2119992135","doi":"https://doi.org/10.1109/97.1001647","title":"Axiomatic quantification of multidimensional image resolution","display_name":"Axiomatic quantification of multidimensional image resolution","publication_year":2002,"publication_date":"2002-04-01","ids":{"openalex":"https://openalex.org/W2119992135","doi":"https://doi.org/10.1109/97.1001647","mag":"2119992135"},"language":"en","primary_location":{"id":"doi:10.1109/97.1001647","is_oa":false,"landing_page_url":"https://doi.org/10.1109/97.1001647","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Signal Processing Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5044333105","display_name":"Joseph A. O\u2019Sullivan","orcid":"https://orcid.org/0000-0003-1510-4876"},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J.A. O'Sullivan","raw_affiliation_strings":["Department of Electrical Engineering, Washington University, Saint Louis, MO, USA","Dept. of Electr. Eng., Washington Univ., St. Louis, MO, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Washington University, Saint Louis, MO, USA","institution_ids":["https://openalex.org/I204465549"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Washington Univ., St. Louis, MO, USA#TAB#","institution_ids":["https://openalex.org/I204465549"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056308697","display_name":"Ming Jiang","orcid":"https://orcid.org/0000-0002-1661-0538"},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]},{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Ming Jiang","raw_affiliation_strings":["Department of Radiology, University of Iowa, IA, USA","Peking University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Radiology, University of Iowa, IA, USA","institution_ids":["https://openalex.org/I126307644"]},{"raw_affiliation_string":"Peking University","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058673281","display_name":"Xiaoming Ma","orcid":"https://orcid.org/0000-0003-2232-7859"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-ming Ma","raw_affiliation_strings":["Center of Environment Science, Peking University, Beijing, China","Peking University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center of Environment Science, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"Peking University","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100400458","display_name":"Ge Wang","orcid":"https://orcid.org/0000-0002-2656-7705"},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ge Wang","raw_affiliation_strings":["Department of Radiology, University of Iowa, IA, USA","University of Iowa, "],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Radiology, University of Iowa, IA, USA","institution_ids":["https://openalex.org/I126307644"]},{"raw_affiliation_string":"University of Iowa, ","institution_ids":["https://openalex.org/I126307644"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9234,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.76187844,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"9","issue":"4","first_page":"120","last_page":"122"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9923999905586243,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9923999905586243,"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":0.9919000267982483,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9908999800682068,"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/mathematics","display_name":"Mathematics","score":0.6827497482299805},{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.5996618866920471},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.5825740694999695},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5591647624969482},{"id":"https://openalex.org/keywords/resolution","display_name":"Resolution (logic)","score":0.47821709513664246},{"id":"https://openalex.org/keywords/trace","display_name":"TRACE (psycholinguistics)","score":0.4220000207424164},{"id":"https://openalex.org/keywords/square-root","display_name":"Square root","score":0.41700273752212524},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32449015974998474},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21342968940734863},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1896378993988037},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0954483151435852}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6827497482299805},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.5996618866920471},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.5825740694999695},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5591647624969482},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.47821709513664246},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.4220000207424164},{"id":"https://openalex.org/C11577676","wikidata":"https://www.wikidata.org/wiki/Q134237","display_name":"Square root","level":2,"score":0.41700273752212524},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32449015974998474},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21342968940734863},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1896378993988037},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0954483151435852},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/97.1001647","is_oa":false,"landing_page_url":"https://doi.org/10.1109/97.1001647","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Signal Processing Letters","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.375.5561","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.375.5561","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.essrl.wustl.edu/~jao/Papers/JournalPublications/01001647.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1582706191","https://openalex.org/W2163056067","https://openalex.org/W2799137445"],"related_works":["https://openalex.org/W2962692142","https://openalex.org/W1771651560","https://openalex.org/W4300725361","https://openalex.org/W2386897142","https://openalex.org/W1605727975","https://openalex.org/W4232127999","https://openalex.org/W1640180556","https://openalex.org/W329313523","https://openalex.org/W2262032878","https://openalex.org/W2116374711"],"abstract_inverted_index":{"We":[0],"generalize":[1],"the":[2,11,33,55,61,66,70,73,77],"axiomatic":[3],"quantification":[4],"of":[5,17,69,72,76],"one-dimensional":[6],"(1-D)":[7],"image":[8],"resolution":[9,57],"to":[10,65],"multidimensional":[12],"case.":[13],"The":[14,29],"imaging":[15],"system":[16],"interest":[18],"is":[19,52,63],"characterized":[20],"by":[21],"a":[22],"nonnegative":[23],"spatially":[24],"invariant":[25],"point":[26,78],"spread":[27,79],"function.":[28,80],"axioms":[30,62],"extended":[31],"from":[32],"1-D":[34],"counterparts":[35],"include":[36],"nonnegativity,":[37],"continuity,":[38],"translation":[39],"invariance,":[40,42,44],"rotation":[41],"luminance":[43],"homogeneous":[45],"scaling,":[46],"and":[47],"serial":[48],"combination":[49],"properties.":[50],"It":[51],"proved":[53],"that":[54],"only":[56],"measure":[58],"consistent":[59],"with":[60],"proportional":[64],"square":[67],"root":[68],"trace":[71],"covariance":[74],"matrix":[75]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}