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Preprocessing - interpolation
2022-07-07 03:45:00 【Lu 727】
1、 effect
If the function f(x) In independent variable x The function values corresponding to some discrete values are known , Then you can make an appropriate specific function p(x), bring p(x) The function value taken in these discrete values , Namely f(x) Known value of . So that you can use p(x) To estimate f(x) The function value corresponding to the independent variable between these discrete values , This method is called interpolation .
2、 Input / output description
Input : Raw data with missing values
Output : Data after adding missing values
3、matlab
x,y Is the original one-dimensional data ,xi Is the interpolation point ,method by ‘nearest’ Adjacent point interpolation ;‘linear’ linear interpolation ;‘spline’ Cubic spline interpolation ;‘pchip’ Cubic interpolation .
x,y Is the original one-dimensional coordinate data ,z Is the original height matrix ,xi,yi Is the interpolation point ,method by ‘nearest’ Adjacent point interpolation ;‘linear’ linear interpolation ;‘spline’ Cubic spline interpolation ;‘cubic’ Cubic interpolation .
4、 Modeling steps
Lagrange interpolation
Polynomial degree exceeds 7 when , Will produce serious Runge The phenomenon , Therefore, the data can be divided into multiple intervals , Interpolate independently in each interval
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