如何通过已知点数组对某些数据点中的值进行插值? [英] How do I interpolate the value in certain data point by array of known points?

问题描述

我知道数据点及其值，描述为数组， speed 和 power

I have known data points and their values described as arrays, speed and power

speed = [2, 6, 8, 10, 12]
power = [200, 450, 500, 645, 820],

我想估计与未在源数组(2到12)中列出的速度值(例如7)相对应的功率值.

I want to estimate the power value that corresponds to speed value (e.g. 7) that is not listed within source array (2 through 12).

即我正在寻找一种执行插值的方法

I.e. I am seeking a way to perform interpolation

推荐答案

最简单的方法是将功率对速度的依赖关系视为线的集合，并假设目标点位于两个已知点之间.一定的行，计算值.

The simplest way to do that is to perceive your power-from-speed dependency as a collection of lines and assuming your target point falls between two known points of a certain line, calculate the value.

例如您可以执行以下操作:

E.g. you may do the following:

const speed = [2, 6, 8, 10, 12], power = [200, 450, 500, 645, 820]
		
const interpolate = (xarr, yarr, xpoint) => {
	const	xa = [...xarr].reverse().find(x => x<=xpoint),
			xb = xarr.find(x => x>= xpoint),      
			ya = yarr[xarr.indexOf(xa)],      
			yb =yarr[xarr.indexOf(xb)]  
	return yarr[xarr.indexOf(xpoint)] || ya+(xpoint-xa)*(yb-ya)/(xb-xa)
}

console.log(interpolate(speed,power,7))

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