python画网格并填充颜色

I am trying to draw a colored mesh plot of a travelling wave like this (just ignore the grey background):

I am looking at the example shown in How to obtain 3D colored surface via Python?, but I'm not sure how to adapt it for my function z:

from mpl_toolkits.mplot3d import axes3d, art3d

import matplotlib.pyplot as plt

import numpy as np

import matplotlib as mpl

fig = plt.figure()

ax = fig.add_subplot(111, projection='3d')

X = T = np.arange(0,10,0.1)

z = np.array([np.cos(2*np.pi*(x/3.0-t/6.0)) for x,t in zip(np.ravel(X), np.ravel(T))])

Z = z.reshape(X.shape)

#X, Y, Z = axes3d.get_test_data(0.05)

wire = ax.plot_wireframe(X, T, Z, rstride=10, cstride=10)

# Retrive data from internal storage of plot_wireframe, then delete it

nx, nt, _ = np.shape(wire._segments3d)

wire_x = np.array(wire._segments3d)[:, :, 0].ravel()

wire_t = np.array(wire._segments3d)[:, :, 1].ravel()

wire_z = np.array(wire._segments3d)[:, :, 2].ravel()

wire.remove()

# create data for a LineCollection

wire_x1 = np.vstack([wire_x, np.roll(wire_x, 1)])

wire_t1 = np.vstack([wire_t, np.roll(wire_t, 1)])

wire_z1 = np.vstack([wire_z, np.roll(wire_z, 1)])

to_delete = np.arange(0, nx*ny, ny)

wire_x1 = np.delete(wire_x1, to_delete, axis=1)

wire_t1 = np.delete(wire_t1, to_delete, axis=1)

wire_z1 = np.delete(wire_z1, to_delete, axis=1)

scalars = np.delete(wire_z, to_delete)

segs = [list(zip(xl, tl, zl)) for xl, tl, zl in \

zip(wire_x1.T, wire_t1.T, wire_z1.T)]

# Plots the wireframe by a a line3DCollection

my_wire = art3d.Line3DCollection(segs, cmap="hsv")

my_wire.set_array(scalars)

ax.add_collection(my_wire)

ax.set_title(r'Travelling wave , $z=f(x,t)=\cos(2\pi(x/3-t/6))$')

ax.set_xlabel(r'$x$', fontsize=16)

ax.set_ylabel(r'$t_0$', fontsize=16)

ax.set_zlabel(r'$z$', fontsize=16)

plt.show()

解决方案

np.meshgrid() is your friend:

from mpl_toolkits.mplot3d import axes3d, art3d

import matplotlib.pyplot as plt

import numpy as np

fig = plt.figure()

ax = fig.add_subplot(111, projection='3d')

x, t = np.arange(0,10,0.1), np.arange(0,10,0.1)

X, T = np.meshgrid(x, t) # generate two 100x100 arrays

Z = np.cos(2*np.pi*(X/3.0 - T/6.0))

wire = ax.plot_wireframe(X, T, Z, rstride=10, cstride=10)

# Retrive data from internal storage of plot_wireframe, then delete it

nx, ny, _ = np.shape(wire._segments3d)

wire_x = np.array(wire._segments3d)[:, :, 0].ravel()

wire_y = np.array(wire._segments3d)[:, :, 1].ravel()

wire_z = np.array(wire._segments3d)[:, :, 2].ravel()

wire.remove()

# create data for a LineCollection

wire_x1 = np.vstack([wire_x, np.roll(wire_x, 1)])

wire_y1 = np.vstack([wire_y, np.roll(wire_y, 1)])

wire_z1 = np.vstack([wire_z, np.roll(wire_z, 1)])

to_delete = np.arange(0, nx*ny, ny)

wire_x1 = np.delete(wire_x1, to_delete, axis=1)

wire_y1 = np.delete(wire_y1, to_delete, axis=1)

wire_z1 = np.delete(wire_z1, to_delete, axis=1)

scalars = np.delete(wire_z, to_delete)

segs = [list(zip(xl, yl, zl)) for xl, yl, zl in \

zip(wire_x1.T, wire_y1.T, wire_z1.T)]

# Plots the wireframe by a a line3DCollection

my_wire = art3d.Line3DCollection(segs, cmap="hsv")

my_wire.set_array(scalars)

ax.add_collection(my_wire)

plt.colorbar(my_wire)

#cl1 = fig.colorbar(pl1)

#cl1.set_label("$z$-axis")

fig.suptitle(r'Travelling wave $z=f(x,t)=\cos(2\pi(x/3-t/6))$')

ax.set_xlabel(r'$x$', fontsize=16)

ax.set_ylabel(r'$t_0$', fontsize=16)

ax.set_zlabel(r'$z$', fontsize=16)

fig.canvas.draw()

plt.show()

The result is

.