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An adaptive binarization process is initially applied to blocks of the image and the resulting binary map is processed with a set of Boolean functions to identify edge points within the blocks. A global threshold, calculated to estimate image intensity variation, is then used to reduce false edges in the image blocks. The proposed method is compared to other 3D gradient filters: Canny, Monga\u2013Deriche, Zucker\u2013Hummel and Sobel operators. Experimental results demonstrate the effectiveness of the proposed technique when applied to several 3D synthetic and real data sets. <\/jats:p>","DOI":"10.1142\/s0219467815500035","type":"journal-article","created":{"date-parts":[[2015,2,26]],"date-time":"2015-02-26T02:22:14Z","timestamp":1424917334000},"page":"1550003","source":"Crossref","is-referenced-by-count":4,"title":["3D Edge Detection Based on Boolean Functions and Local Operators"],"prefix":"10.1142","volume":"15","author":[{"given":"Ricardo Dutra","family":"da Silva","sequence":"first","affiliation":[{"name":"Department of Informatics, Federal University of Technology, Paran\u00e1, Curitiba-PR, Brazil 80230-901, Brazil"}]},{"given":"Rosane","family":"Minghim","sequence":"additional","affiliation":[{"name":"Instituto de Ci\u00eancias Matem\u00e1ticas e de Computa\u00e7\u00e3o, University of S\u00e3o Paulo, S\u00e3o Carlos-SP, Brazil 13560-970, Brazil"}]},{"given":"Helio","family":"Pedrini","sequence":"additional","affiliation":[{"name":"Institute of Computing, University of Campinas, Campinas-SP, Brazil 13083-852, Brazil"}]}],"member":"219","published-online":{"date-parts":[[2015,2,25]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/s10044-012-0266-x"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-005-4888-0"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1023\/A:1011290230196"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-03798-6_12"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-008-0118-x"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/0165-1684(95)00048-I"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCC.2002.804448"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1016\/0146-664X(75)90012-X"},{"key":"rf9","first-page":"1507","volume":"2","author":"Nadernejad E.","year":"2008","journal-title":"Applied Mathematical Sciences"},{"key":"rf10","first-page":"537","volume":"8","author":"Ziou D.","year":"1998","journal-title":"International Journal of Pattern Recognition and Image Analysis"},{"key":"rf11","unstructured":"L. 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