3.2 Piecewise Linear Interpolation(乱写的)

本文介绍了一种直观的插值方法——分段线性插值,即通过直线连接数据点来进行插值。文中解释了线性插值是指使用直线插值,而分段意味着通常需要不同的直线来连接不同的数据点对。此外,文章还提到这种插值方式是Matlab绘图默认的行为,并指出如果数据点足够密集,那么由分段线性插值带来的锯齿状效应将不明显。

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3.2 Piecewise Linear Interpolation
This is the perhaps the most intuitive form of
interpolation, even if you’re still not sure what all
the words mean.
Piecewise linear interpolation is simply connecting data
points by straight lines.
“Linear interpolation” means to use straight-line
interpolants.
We say it is “piecewise” interpolation because you
normally need different straight lines to connect
different pairs of points.
This is the default behaviour in Matlab’s plot
routine.
If the data points are sufficiently close together,
the jaggedness associated with piecewise linear
interpolation is not noticeable.
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