如何在numpy/scipy中获取插值数组值

Question

我想知道怎样才能得到三维数组的插值值。我试图得到一个3d数组的，例如位置：（1.4，2.3，4.2）的值。如何得到插值？在

counterX = 1.5 
counterY = 1.5 
counterZ = 1.5 

for x in range(0, length)
    for y in range(0, length)
        for z in range(0, length)
            value = img[counterX, counterY, counterZ]
        counterZ = 0
    counterY = 0

counterX、counterY和counterZ是浮点值，而不是整数。但是我不能css他们int（…），因为我的结果需要非常精确。因此，我认为插值是最好的解决方案。在

Answer 1

只需进行三线性插值，如下所述： https://en.wikipedia.org/wiki/Trilinear_interpolation

对于您的示例，这将是：

C00 = (1,2,4)*0.6 + (2,2,4)*0.4
C01 = (1,3,4)*0.6 + (2,3,4)*0.4
C10 = (1,2,5)*0.6 + (2,2,5)*0.4
C11 = (1,3,5)*0.6 + (2,3,5)*0.4

C0 = C00*0.8 + C10*0.2
C1 = C01*0.8 + C11*0.2

C = C0*0.7 + C1*0.3