翻訳と辞書 Words near each other ・ Differential inheritance ・ Differential interference contrast microscopy ・ Differential invariant ・ Differential item functioning ・ Differential Manchester encoding ・ Difference and Repetition ・ Difference density map ・ Difference due to memory ・ Difference engine ・ Difference feminism ・ Difference gel electrophoresis ・ Difference hierarchy ・ Difference in differences ・ Difference in the depth of modulation ・ Difference list ・ Difference of Gaussians ・ Difference of Opinion ・ Difference of two squares ・ Difference polynomials ・ Difference quotient ・ Difference set ・ Difference theory ・ Difference United ・ Difference-map algorithm ・ Differences (journal) ・ Differences (song) ・ Differences between Sunni, Shia and Ibadi Islam ・ Different ・ Different (Kate Ryan album) ・ Different (Robbie Williams song) Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Difference of Gaussians ： ウィキペディア英語版 Difference of Gaussians In imaging science, difference of Gaussians is a feature enhancement algorithm that involves the subtraction of one blurred version of an original image from another, less blurred version of the original. In the simple case of grayscale images, the blurred images are obtained by convolving the original grayscale images with Gaussian kernels having differing standard deviations. Blurring an image using a Gaussian kernel suppresses only high-frequency spatial information. Subtracting one image from the other preserves spatial information that lies between the range of frequencies that are preserved in the two blurred images. Thus, the difference of Gaussians is a band-pass filter that discards all but a handful of spatial frequencies that are present in the original grayscale image.〔("Molecular Expressions Microscopy Primer: Digital Image Processing – Difference of Gaussians Edge Enhancement Algorithm", ''Olympus America Inc., and Florida State University'' ) Michael W. Davidson, Mortimer Abramowitz〕 ==Mathematics of difference of Gaussians== Given a m-channels, n-dimensional image $$ I:\^n\}\rightarrow\^m\} The difference of Gaussians (DoG) of the image $I$ is the function $$ \Gamma_:\^n\}\rightarrow\\} obtained by subtracting the image $I$ convolved with the Gaussian of variance $\backslash sigma^2\_2$ from the image $I$ convolved with a Gaussian of narrower variance $\backslash sigma^2\_1$, with $\backslash sigma\_2\; >\; \backslash sigma\_1$. In one dimension, $\backslash Gamma$ is defined as: $$ \Gamma_(x) = I *\frac-I *\frac. and for the centered two-dimensional case : $$ \Gamma_(x,y) = I *\frac e^ - I *\frac e^ which is formally equivalent to: $$ \Gamma_(x,y) = I *(\frac e^ - \frac e^) which represents an image convoluted to the difference of two Gaussians, which approximates a Mexican Hat function. The relation between the difference of Gaussians operator and the Laplacian of the Gaussian operator (the Mexican hat wavelet) is explained in appendix A in Lindeberg (2015).〔(Lindeberg (2015) ``Image matching using generalized scale-space interest points", Journal of Mathematical Imaging and Vision, volume 52, number 1, pages 3-36, 2015. )〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Difference of Gaussians」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.