翻訳と辞書 Words near each other ・ Pseudo-runes ・ Pseudo-scholarship ・ Pseudo-Scymnus ・ Pseudo-secularism ・ Pseudo-Seneca ・ Pseudo-Simon ・ Pseudo-Sophronius ・ Pseudo-spectral method ・ Pseudo-squeeze ・ Pseudo-Tertullian ・ Pseudo-top-level domain ・ Pseudo-transparency ・ Pseudo-uniform polyhedron ・ Pseudo-warm front ・ Pseudo-wire ・ Pseudo-Zernike polynomials ・ Pseudo-zero set ・ Pseudo.com ・ Pseudoacanthocereus ・ Pseudoacanthocereus brasiliensis ・ Pseudoacanthosis nigricans ・ Pseudoachondroplasia ・ Pseudoacid ・ Pseudoacontias ・ Pseudoakuammigine ・ Pseudoallergy ・ Pseudoalteromonadaceae ・ Pseudoalteromonas ・ Pseudoalteromonas agarivorans ・ Pseudoalteromonas aliena 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 Pseudo-Zernike polynomials ： ウィキペディア英語版 Pseudo-Zernike polynomials In mathematics, Pseudo-Zernike polynomials are well known and widely used in the analysis of optical systems. They are also widely used in image analysis as shape descriptors. == Definition == They are an orthogonal set of complex-valued polynomials defined as : $$ V_(x,y) = R_(x,y)e^)} where $x^2+y^2\backslash leq\; 1,\; n\backslash geq\; 0,\; |m|\backslash leq\; n$ and orthogonality on the unit disk is given as: $$ \int_0^\int_0^1 r ()^ * \times V_(r\cos\theta,r\sin\theta)drd\theta = \frac\delta_\delta_, where the star means complex conjugation, and $$ r^2 = x^2+y^2, $x=r\backslash cos\backslash theta$, $y=r\backslash sin\backslash theta$ are the standard transformations between polar and Cartesian coordinates. The radial polynomials $R\_$ are defined as: $$ R_(x,y) = \sum_^D_(x^2+y^2)^ with integer coefficients $$ D_ = (-1)^s\frac. 〔 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「Pseudo-Zernike polynomials」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.