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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Winkel tripel projection ： ウィキペディア英語版 Winkel tripel projection The Winkel tripel projection (Winkel III), a modified azimuthal map projection of the world, is one of three projections proposed by Oswald Winkel in 1921. The projection is the arithmetic mean of the equirectangular projection and the Aitoff projection:〔 The name ''Tripel'' (German for "triple") refers to Winkel's goal of minimizing three kinds of distortion: area, direction, and distance.〔 ==Algorithm== :$x\; =\; \backslash frac\backslash left(\backslash cos\; \backslash varphi\_1\; +\; \backslash frac\}\backslash right)$ :$y\; =\; \backslash frac\backslash left(+\; \backslash frac\backslash right)$ where $\backslash lambda$ is the longitude minus that of the central meridian of the projection, $\backslash varphi$ is the latitude, $\backslash varphi\_1$ is the standard parallel for the equirectangular projection, and :$\backslash alpha\; =\; \backslash arccos\backslash left(\backslash cos\; \backslash frac\; \backslash right)$ $\backslash mathrm\backslash ,\backslash alpha$ is the unnormalized cardinal sine function (with the discontinuity removed). In his proposal, Winkel set : :$\backslash varphi\_1\; =\; \backslash arccos\; \backslash frac\backslash ,$ A closed-form inverse mapping does not exist, and computing the inverse numerically is somewhat complicated.〔 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「Winkel tripel projection」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.