翻訳と辞書 Words near each other ・ Mexican golden red rump tarantula ・ Mexican golden trout ・ Mexican Grand Prix ・ Mexican Grand Prix (disambiguation) ・ Mexican gray squirrel ・ Mexican grizzly bear ・ Mexican ground squirrel ・ Mexican gubernatorial elections, 2010 ・ Mexican Hairless ・ Mexican Hairless Dog ・ Mexican hairy dwarf porcupine ・ Mexican handcrafted fireworks ・ Mexican handcrafts and folk art ・ Mexican harvest mouse ・ Mexican hat ・ Mexican hat wavelet ・ Mexican Hat, Utah ・ Mexican Hayride ・ Mexican Hayride (musical) ・ Mexican Health and Aging Study ・ Mexican heraldry ・ Mexican Heritage Plaza ・ Mexican hermit ・ Mexican hogfish ・ Mexican Honours System ・ Mexican horned lizard ・ Mexican hornshark ・ Mexican howler ・ Mexican immigration to Chile ・ Mexican immigration to Costa Rica 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 Mexican hat wavelet ： ウィキペディア英語版 Mexican hat wavelet In mathematics and numerical analysis, the Ricker wavelet〔http://74.3.176.63/publications/recorder/1994/09sep/sep94-choice-of-wavelets.pdf〕 :$\backslash psi(t)\; =\; \}\}\; \backslash left(\; 1\; -\; \backslash right)\; e^$ is the negative normalized second derivative of a Gaussian function, i.e., up to scale and normalization, the second Hermite function. It is a special case of the family of continuous wavelets (wavelets used in a continuous wavelet transform) known as Hermitian wavelets. The Ricker wavelet is frequently employed to model seismic data, and as a broad spectrum source term in computational electrodynamics. It is usually only referred to as the Mexican hat wavelet in the Americas, due to taking the shape of a sombrero when used as a 2D image processing kernel. It is also known as the Marr wavelet for David Marr.〔http://www2.isye.gatech.edu/~brani/isyebayes/bank/handout20.pdf〕〔http://cxc.harvard.edu/ciao/download/doc/detect_manual/wav_theory.html#wav_theory_mh〕 :$$ \psi(x,y) = -\frac\left(1-\frac\right) \mathrm^. The multidimensional generalization of this wavelet is called the ''Laplacian of Gaussian'' function. In practice, this wavelet is sometimes approximated by the ''difference of Gaussians'' function, because it is separable〔(【引用サイトリンク】title=Spatial Filters - Gaussian Smoothing )〕 and can therefore save considerable computation time in two or more dimensions. The scale normalised Laplacian (in $L\_1$-norm) is frequently used as a blob detector and for automatic scale selection in computer vision applications; see Laplacian of Gaussian and scale space. The relation between this Laplacian of the Gaussian operator and the difference-of-Gaussians operator 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. )〕 The Mexican hat wavelet can also be approximated by derivatives of Cardinal B-Splines〔Brinks R: ''On the convergence of derivatives of B-splines to derivatives of the Gaussian function'', Comp. Appl. Math., 27, 1, 2008〕 ==References== 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「Mexican hat wavelet」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.