{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,23]],"date-time":"2023-10-23T08:10:48Z","timestamp":1698048648948},"reference-count":17,"publisher":"Wiley","issue":"12","license":[{"start":{"date-parts":[[2007,9,5]],"date-time":"2007-09-05T00:00:00Z","timestamp":1188950400000},"content-version":"vor","delay-in-days":7187,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Systems & Computers in Japan"],"published-print":{"date-parts":[[1988,1]]},"abstract":"Abstract<\/jats:title>This paper considers the multiresolution (in terms of standard deviation) Gaussian filter, which plays an important role in the visual information processing and the signal analysis. A high\u2010speed and highly accurate method is proposed for Gaussian filtering and calculation of its derivative, using the filter with a recursive structure utilizing the properties of Gaussian function. The earlier method, based on the iterative convolution of Gaussian function, is generalized. The problem is reformulated permitting the variation of the weight coefficient and the scale factor (expansion ratio of standard deviation), to achieve a sufficient accuracy. First, a formulation is made for the continuous system to realize a Gaussian filter and the sequence of its derivative filters for the specified scale factor. Then based on the result, a generation formula is derived for the filter sequence in the discrete system by iterative convolutions with the same weight coefficient. Furthermore, the factors for the error in discrete representation is analyzed, and the condition is derived for suppressing the error.<\/jats:p>","DOI":"10.1002\/scj.4690191203","type":"journal-article","created":{"date-parts":[[2009,11,19]],"date-time":"2009-11-19T20:59:59Z","timestamp":1258664399000},"page":"24-34","source":"Crossref","is-referenced-by-count":1,"title":["Design Methods for Cascaded Gaussian Filters"],"prefix":"10.1002","volume":"19","author":[{"given":"Yoshinobu","family":"Sato","sequence":"first","affiliation":[]},{"given":"Shinichi","family":"Tamura","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2007,9,5]]},"reference":[{"key":"e_1_2_1_2_2","series-title":"Ser. Elect. Eng., 43","volume-title":"Pattern recognition","author":"Iijima T.","year":"1973"},{"key":"e_1_2_1_3_2","unstructured":"A.Witkin Scale space filtering Proc. of 8th IJCAI pp.1019\u20131022(1983)."},{"issue":"4","key":"e_1_2_1_4_2","first-page":"508","article-title":"Theory for determination of visual point and visual field in figure observation","volume":"68","author":"Chow","year":"1985","journal-title":"Trans. (D) I.E.C.E., Japan"},{"issue":"5","key":"e_1_2_1_5_2","first-page":"1125","article-title":"Theory for feature extraction of image by stable visual point tree","volume":"68","author":"Chow","year":"1985","journal-title":"Trans. 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