基于python的数学建模---二维插值的三维图

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import numpy as np
from mpl_toolkits.mplot3d import Axes3D
import matplotlib as mpl
from scipy import interpolate
import matplotlib.cm as cm
import matplotlib.pyplot as plt


def func(x, y):
    return (x + y) * np.exp(-5.0 * (x ** 2 + y ** 2))


x = np.linspace(-1, 1, 20)
y = np.linspace(-1, 1, 20)
x, y = np.meshgrid(x, y)
fvals = func(x, y)
fig = plt.figure(figsize=(9, 6))
ax = plt.subplot(1, 2, 1, projection='3d')
        #三维网面图                  #跨行      跨列
surf = ax.plot_surface(x, y, fvals, rstride=2, cstride=2, cmap=cm.coolwarm, linewidth=0.5, antialiased=True)
ax.set_xlabel('x')
ax.set_ylabel('y')
ax.set_zlabel('f(x, y)')  # 标签
plt.colorbar(surf, shrink=0.5, aspect=5)  # 标注
#插值                kind:插值方式,有三种可选,分别是'linear'(线性插值)、'cubic'(三次样条插值)、'quintic'(五次样条插值)
newfunc = interpolate.interp2d(x, y, fvals, kind='cubic')  # newfunc为一个函数
xnew = np.linspace(-1, 1, 100)  # x
ynew = np.linspace(-1, 1, 100)  # y
fnew = newfunc(xnew, ynew)
xnew, ynew = np.meshgrid(xnew, ynew)
ax2 = plt.subplot(1, 2, 2, projection='3d')
surf2 = ax2.plot_surface(xnew, ynew, fnew, rstride=2, cstride=2, cmap=cm.coolwarm, linewidth=0.5, antialiased=True)
ax2.set_xlabel('xnew')
ax2.set_ylabel('ynew')
ax2.set_zlabel('fnew(x, y)')
plt.colorbar(surf2, shrink=0.5, aspect=5)
plt.show()
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posted @   故y  阅读(586)  评论(0编辑  收藏  举报
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