{"id":"https://openalex.org/W2143591133","doi":"https://doi.org/10.1109/34.16718","title":"Geometric properties of the union of maximal neighborhoods","display_name":"Geometric properties of the union of maximal neighborhoods","publication_year":1989,"publication_date":"1989-02-01","ids":{"openalex":"https://openalex.org/W2143591133","doi":"https://doi.org/10.1109/34.16718","mag":"2143591133"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/34.16718","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5009276474","display_name":"L.P. Cordella","orcid":null},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"L.P. Cordella","raw_affiliation_strings":["Dipartimento di Informatica e Sistemistica, Universit\u00e1 di Napoli Federico II, Naples, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica e Sistemistica, Universit\u00e1 di Napoli Federico II, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011805004","display_name":"Gabriella Sanniti di Baja","orcid":"https://orcid.org/0000-0003-2218-0412"},"institutions":[{"id":"https://openalex.org/I4210150716","display_name":"Istituto di Cibernetica \u201cEduardo Caianiello\u201d","ror":"https://ror.org/05cdfm144","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210150716","https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"G. Sanniti di Baja","raw_affiliation_strings":["Istituto di Cibernetica del Consiglio Nazionale delle Ricerche, Naples, Italy"],"affiliations":[{"raw_affiliation_string":"Istituto di Cibernetica del Consiglio Nazionale delle Ricerche, Naples, Italy","institution_ids":["https://openalex.org/I4210150716"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.523,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":10,"citation_normalized_percentile":{"value":0.763952,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":79,"max":80},"biblio":{"volume":"11","issue":"2","first_page":"214","last_page":"217"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":1.0,"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":1.0,"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":0.9945,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9897,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/perimeter","display_name":"Perimeter","score":0.7467419},{"id":"https://openalex.org/keywords/maxima","display_name":"Maxima","score":0.74424505},{"id":"https://openalex.org/keywords/tracing","display_name":"Tracing","score":0.60895133},{"id":"https://openalex.org/keywords/digital-geometry","display_name":"Digital geometry","score":0.5313174},{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.41262424}],"concepts":[{"id":"https://openalex.org/C98503990","wikidata":"https://www.wikidata.org/wiki/Q28474","display_name":"Perimeter","level":2,"score":0.7467419},{"id":"https://openalex.org/C91528185","wikidata":"https://www.wikidata.org/wiki/Q520952","display_name":"Maxima","level":3,"score":0.74424505},{"id":"https://openalex.org/C138673069","wikidata":"https://www.wikidata.org/wiki/Q322229","display_name":"Tracing","level":2,"score":0.60895133},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.5926293},{"id":"https://openalex.org/C192368570","wikidata":"https://www.wikidata.org/wiki/Q1789829","display_name":"Digital geometry","level":5,"score":0.5313174},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4932651},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.48895705},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.43705374},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4165813},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.41262424},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40403476},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.38166916},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.33698362},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3367399},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3243397},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.32098362},{"id":"https://openalex.org/C42781572","wikidata":"https://www.wikidata.org/wiki/Q1250322","display_name":"Digital image","level":4,"score":0.25549328},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.22038883},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17850307},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C554144382","wikidata":"https://www.wikidata.org/wiki/Q213156","display_name":"Performance art","level":2,"score":0.0},{"id":"https://openalex.org/C52119013","wikidata":"https://www.wikidata.org/wiki/Q50637","display_name":"Art history","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}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/34.16718","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.76,"id":"https://metadata.un.org/sdg/11"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":9,"referenced_works":["https://openalex.org/W111423345","https://openalex.org/W1622620102","https://openalex.org/W1963892690","https://openalex.org/W1981953529","https://openalex.org/W1989409369","https://openalex.org/W2077246452","https://openalex.org/W2080095967","https://openalex.org/W4251530686","https://openalex.org/W68838630"],"related_works":["https://openalex.org/W4232457976","https://openalex.org/W3105193347","https://openalex.org/W2797691919","https://openalex.org/W2160559052","https://openalex.org/W2156081102","https://openalex.org/W2050191802","https://openalex.org/W1973781123","https://openalex.org/W1835819466","https://openalex.org/W181473267","https://openalex.org/W125048092"],"abstract_inverted_index":{"The":[0,21,41],"problem":[1],"of":[2,7,28,38,72,84,108],"computing":[3],"area":[4,50],"and":[5,51,76],"perimeter":[6,52],"a":[8,81],"digital":[9],"figure":[10,22,49],"presented":[11],"by":[12,44],"its":[13],"discrete":[14],"medial":[15],"axis":[16],"transform":[17],"(MAT)":[18],"is":[19,23,53,87,105],"addressed.":[20],"seen":[24],"as":[25],"the":[26,29,35,39,57,62,70,73,85,94,98,106],"union":[27],"square-shaped":[30],"maximal":[31,46,63,79],"neighborhoods":[32,64,80],"centered":[33],"on":[34],"local":[36,74],"maxima":[37,75],"MAT.":[40,58],"contribution":[42],"given":[43],"each":[45],"neighborhood":[47],"to":[48,69,89,92],"computed":[54],"while":[55],"tracing":[56,83],"Multiple":[59],"overlaps":[60],"among":[61],"are":[65],"possible.":[66],"However,":[67],"due":[68],"properties":[71],"their":[77],"associated":[78],"single":[82],"MAT":[86,109],"provided":[88],"be":[90],"sufficient":[91],"obtain":[93],"desired":[95],"result.":[96],"Thus,":[97],"procedure":[99],"requires":[100],"O(N)":[101],"time,":[102],"where":[103],"N":[104],"number":[107],"pixels.<":[110],">":[113]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2143591133","counts_by_year":[],"updated_date":"2024-12-10T03:21:47.663833","created_date":"2016-06-24"}