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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 Linear interpolation ： ウィキペディア英語版 Linear interpolation In mathematics, linear interpolation is a method of curve fitting using linear polynomials. ==Linear interpolation between two known points== If the two known points are given by the coordinates $(x\_0,y\_0)$ and $(x\_1,y\_1)$, the linear interpolant is the straight line between these points. For a value ''x'' in the interval $(x\_0,\; x\_1)$, the value ''y'' along the straight line is given from the equation :$$ \frac = \frac which can be derived geometrically from the figure on the right. It is a special case of polynomial interpolation with ''n'' = 1. Solving this equation for ''y'', which is the unknown value at ''x'', gives :$y\; =\; y\_0\; +\; (y\_1-y\_0)\backslash frac$ which is the formula for linear interpolation in the interval $(x\_0,x\_1)$. Outside this interval, the formula is identical to linear extrapolation. This formula can also be understood as a weighted average. The weights are inversely related to the distance from the end points to the unknown point; the closer point has more influence than the farther point. Thus, the weights are $\backslash frac$ and $\backslash frac$, which are normalized distances between the unknown point and each of the end points. 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「Linear interpolation」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.