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This paper points out problems caused by the underestimation of variances from a frequency distribution and solves the problems by transforming a frequency distribution into a piecewise\u2010continuous distribution based on the maximum entropy criterion. This transformation improves conventional thresholding techniques. Experimental results showed the effectiveness of the transformation.<\/jats:p>","DOI":"10.1002\/scj.4690270907","type":"journal-article","created":{"date-parts":[[2007,7,8]],"date-time":"2007-07-08T11:22:22Z","timestamp":1183893742000},"page":"63-71","source":"Crossref","is-referenced-by-count":1,"title":["Thresholding methods considering the quantization error of an image"],"prefix":"10.1002","volume":"27","author":[{"given":"Iwao","family":"Sekita","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Takio","family":"Kurita","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nobuyuki","family":"Otsu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nabih N.","family":"Abdelmalek","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2007,3,21]]},"reference":[{"doi-asserted-by":"publisher","key":"e_1_2_1_2_2","DOI":"10.1016\/0734-189X(88)90022-9"},{"doi-asserted-by":"publisher","key":"e_1_2_1_3_2","DOI":"10.1016\/0031-3203(79)90006-2"},{"doi-asserted-by":"publisher","key":"e_1_2_1_4_2","DOI":"10.1016\/0010-4809(72)90070-5"},{"doi-asserted-by":"publisher","key":"e_1_2_1_5_2","DOI":"10.1016\/0031-3203(86)90030-0"},{"doi-asserted-by":"publisher","key":"e_1_2_1_6_2","DOI":"10.1016\/0031-3203(89)90029-0"},{"doi-asserted-by":"publisher","key":"e_1_2_1_7_2","DOI":"10.1016\/0031-3203(92)90024-D"},{"unstructured":"I.Sekita T.Kurita N.OtsuandN.Abdelmalek.On thresholding under normal density functions. 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