如果安装了scipy version&gt；=0.18.0，则可以使用scipy.interpolate中的cubic spline函数进行三次样条曲线插值。

您可以通过在python中运行以下命令来检查scipy版本：#!/usr/bin/env python3

import scipy

scipy.version.version

如果scipy版本为&gt；=0.18.0，则可以运行以下三次样条曲线插值的示例代码：#!/usr/bin/env python3

import numpy as np

from scipy.interpolate import CubicSpline

# calculate 5 natural cubic spline polynomials for 6 points

# (x,y) = (0,12) (1,14) (2,22) (3,39) (4,58) (5,77)

x = np.array([0, 1, 2, 3, 4, 5])

y = np.array([12,14,22,39,58,77])

# calculate natural cubic spline polynomials

cs = CubicSpline(x,y,bc_type='natural')

# show values of interpolation function at x=1.25

print('S(1.25) = ', cs(1.25))

## Aditional - find polynomial coefficients for different x regions

# if you want to print polynomial coefficients in form

# S0(0<=x<=1) = a0 + b0(x-x0) + c0(x-x0)^2 + d0(x-x0)^3

# S1(1< x<=2) = a1 + b1(x-x1) + c1(x-x1)^2 + d1(x-x1)^3

# ...

# S4(4< x<=5) = a4 + b4(x-x4) + c5(x-x4)^2 + d5(x-x4)^3

# x0 = 0; x1 = 1; x4 = 4; (start of x region interval)

# show values of a0, b0, c0, d0, a1, b1, c1, d1 ...

cs.c

# Polynomial coefficients for 0 <= x <= 1

a0 = cs.c.item(3,0)

b0 = cs.c.item(2,0)

c0 = cs.c.item(1,0)

d0 = cs.c.item(0,0)

# Polynomial coefficients for 1 < x <= 2

a1 = cs.c.item(3,1)

b1 = cs.c.item(2,1)

c1 = cs.c.item(1,1)

d1 = cs.c.item(0,1)

# ...

# Polynomial coefficients for 4 < x <= 5

a4 = cs.c.item(3,4)

b4 = cs.c.item(2,4)

c4 = cs.c.item(1,4)

d4 = cs.c.item(0,4)

# Print polynomial equations for different x regions

print('S0(0<=x<=1) = ', a0, ' + ', b0, '(x-0) + ', c0, '(x-0)^2 + ', d0, '(x-0)^3')

print('S1(1< x<=2) = ', a1, ' + ', b1, '(x-1) + ', c1, '(x-1)^2 + ', d1, '(x-1)^3')

print('...')

print('S5(4< x<=5) = ', a4, ' + ', b4, '(x-4) + ', c4, '(x-4)^2 + ', d4, '(x-4)^3')

# So we can calculate S(1.25) by using equation S1(1< x<=2)

print('S(1.25) = ', a1 + b1*0.25 + c1*(0.25**2) + d1*(0.25**3))

# Cubic spline interpolation calculus example

# https://www.youtube.com/watch?v=gT7F3TWihvk