基于python的数学建模---二维插值的三维图
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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