从查找表数据插值 [英] Interpolating data from a look up table

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本文介绍了从查找表数据插值的处理方法,对大家解决问题具有一定的参考价值,需要的朋友们下面随着小编来一起学习吧!

问题描述

LUT = np.genfromtxt('test.out', delimiter=',', dtype=float)
LUT:
    12, 25, 136, 6743
    13, 26, 139, 6786
    14, 27, 142, 6791
    15, 28, 145, 6789

待从LUT读

值如下:

Values to be read from the LUT are as follows:

x1, x2, x3 = 12.5, 25.5, 137

在LUT每个给定的值(3列)读取相邻的两个值,我必须线性插入的结果(LUT第4列)。

Reading the neighboring two values in the LUT for each of the given values (3 columns), I have to linearly interpolate the results (4th column in LUT).

的给定的值(X1,X2,X3)属于第1和LUT的第二排之间。在此基础上如何阅读第一和第二排的结果?

The given values (x1, x2, x3) belongs to between 1st and 2nd row of the LUT. Based on this how to read the results between 1st and 2nd row?

推荐答案

定坐标列表 COORDS 要插值,可以使用 scipy.spatial.cKDTree 来获得你的表所必需的线性插值的2最接近的条目。下面的code给出了一个使用示例,已经量化。

Given a list of coordinates coords where you want to interpolate, you can use scipy.spatial.cKDTree to obtain the 2 closest entries of your table that are necessary for the linear interpolation. The code below shows an usage example, already vectorized.

import numpy as np
from scipy.spatial import cKDTree

# inputs
LTU = np.genfromtxt('test.txt', delimiter=',')

coords = ((12.5, 25.5, 137),
          (13.5, 26.5, 141),
          (14.5, 25.5, 144))

# querying and interpolating
xyz = LTU[:, :3]
val = LTU[:, 3]

del LTU # attempt to clean up memory

tree = cKDTree(xyz)
dist, ind = tree.query(coords, k=2)

d1, d2 = dist.T
v1, v2 = val[ind].T
v = (d1)/(d1 + d2)*(v2 - v1) + v1

print(v)
#[ 6758.73909236  6789.16987298  6790.03575996]

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