翻訳と辞書
Words near each other
・ Linear focal elastosis
・ Linear form
・ Linear fractional transformation
・ Linear function
・ Linear function (calculus)
・ Linear genetic programming
・ Linear gingival erythema
・ Linear grammar
・ Linear hashing
・ Linear Heat Detection
・ Linear IgA bullous dermatosis
・ Linear independence
・ Linear induction motor
・ Linear inequality
・ Linear Integrated Systems
Linear interpolation
・ Linear ion trap
・ Linear least squares
・ Linear least squares (mathematics)
・ Linear Lie algebra
・ Linear logic
・ Linear low-density polyethylene
・ Linear map
・ Linear matrix inequality
・ Linear medium
・ Linear Men
・ Linear model
・ Linear model of innovation
・ Linear molecular geometry
・ Linear motion


Dictionary Lists
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)\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 \frac and \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.