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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 Ambisonic data exchange formats ： ウィキペディア英語版 Ambisonic data exchange formats (詳細はAmbisonics have undergone radical changes since the early days of four-track magnetic tape. Researchers working on very high-order systems found no straightforward way to extend the traditional formats to suit their needs. Furthermore, there was no widely accepted formulation of spherical harmonics for acoustics, so one was borrowed from chemistry, quantum mechanics, computer graphics, or other fields, each of which had subtly different conventions. This led to an unfortunate proliferation of mutually incompatible ad-hoc formats and much head-scratching. This page attempts to document the different existing formats, their rationales and history, for the terminally curious and those unfortunate enough to have to deal with them in detail. == Spherical harmonics in Ambisonics == A common formulation for spherical harmonics in the context of Ambisonics is :$Y\_\backslash ell^m\; (\backslash theta,\; \backslash phi)\; =\; N\_\backslash ell^\; P\_\backslash ell^(\backslash sin(\backslash phi))\backslash cdot\backslash begin$ & \mbox m<0 \\ & \mbox m=0 \\ & \mbox m>0 \end,〔Christian Nachbar, Franz Zotter, Etienne Deleflie, and Alois Sontacchi: (''AmbiX - A Suggested Ambisonics Format'' ) Ambisonics Symposium 2011, Lexington (KY) 2011, p.3, eq(1)〕 where $Y$ denotes a spherical harmonic of degree $\backslash ell$ and index $m$ with a range of $-\backslash ell\; \backslash leq\; m\; \backslash leq\; +\backslash ell$. $N$ is a normalisation factor (see below), and $P\_\backslash ell^m$ is the Associated Legendre polynomial of degree $\backslash ell$ and order $m$. The azimuth angle $\backslash theta$ is zero straight ahead and travels counter-clockwise. The elevation angle $\backslash phi$ is zero on the horizontal plane and positive in the upper hemisphere. Unfortunately, the "Ambisonic order" $\backslash ell$ is the ''degree'' in mathematical parlance, which uses ''order'' for the second index $m$. 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「Ambisonic data exchange formats」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.