Tri-Surface Plot in Python using Matplotlib

A Tri-Surface Plot is a type of surface plot, created by triangulation of compact surfaces of finite number of triangles which cover the whole surface in a manner that each and every point on the surface is in triangle. The intersection of any two triangles results in void or a common edge or vertex. This type of plot is created where the evenly sampled grids are restrictive and inconvenient to plot. Generally Tri-Surface plots are created by calling ax.plot_trisurf() function of matplotlib library. Some of the attributes of the function are listed below:

Attribute	Parameter
X, Y, Z	dataset as 1D array to be plotted
colors	color of the surface patches
cmap	color map to set the color of surface patches
norm	parameter to normalize map values of colors
vmin	minimum value of map
vamx	maximum value of map
shade	attribute to shade the facecolors

Example 1 : Let’s create a basic Tri-Surface plot using the ax.plot_trisurf() function.

# Import libraries 
from mpl_toolkits import mplot3d 
import numpy as np 
import matplotlib.pyplot as plt 
  
  
# Creating dataset 
z = np.linspace(0, 50000, 100) 
x = np.sin(z) 
y = np.cos(z)  
  
# Creating figyre 
fig = plt.figure(figsize =(14, 9)) 
ax = plt.axes(projection ='3d') 
  
# Creating plot 
ax.plot_trisurf(x, y, z, 
                linewidth = 0.2, 
                antialiased = True); 
  
# show plot 
plt.show() 

Output :
Tri-Surface Plot in Python using Matplotlib

Example 2 : For better understanding Let’s take another example.

# Import libraries 
from mpl_toolkits.mplot3d import Axes3D   
import matplotlib.pyplot as plt   
import numpy as np   
  
  
# Creating radii and angles 
r = np.linspace(0.125, 1.0, 100)   
a = np.linspace(0, 2 * np.pi,  
                100, 
                endpoint = False)   
    
# Repeating all angles for every radius   
a = np.repeat(a[..., np.newaxis], 100, axis = 1)   
    
# Creating datset 
x = np.append(0, (r * np.cos(a)))   
y = np.append(0, (r * np.sin(a)))     
z = (np.sin(x ** 4) + np.cos(y ** 4))  
    
# Creating figure 
fig = plt.figure(figsize =(16, 9))   
ax = plt.axes(projection ='3d')   
  
# Creating color map 
my_cmap = plt.get_cmap('hot') 
    
# Creating plot 
trisurf = ax.plot_trisurf(x, y, z, 
                         cmap = my_cmap, 
                         linewidth = 0.2,  
                         antialiased = True, 
                         edgecolor = 'grey')   
fig.colorbar(trisurf, ax = ax, shrink = 0.5, aspect = 5) 
ax.set_title('Tri-Surface plot') 
  
# Adding labels 
ax.set_xlabel('X-axis', fontweight ='bold')  
ax.set_ylabel('Y-axis', fontweight ='bold')  
ax.set_zlabel('Z-axis', fontweight ='bold') 
      
# show plot 
plt.show() 

Output :
Tri-Surface Plot in Python using Matplotlib

My Personal Notes

Recommended Posts: