MATLAB 3D mesh()

MATLAB is a powerful programming language that supports 3D visualization. One of the key functions for 3D visualization is mesh(). This function is used to generate a 3D mesh plot which can be used to show the relationship between three variables.

Syntax

The syntax for mesh() is as follows:

mesh(x,y,z)

Where x, y, and z are vectors of the same length that define the coordinates of the points that make up the mesh. Alternatively, you can specify the number of points in each axis as follows:

mesh(x,y,z)

Example

x = linspace(-2*pi,2*pi,25);
y = linspace(-2*pi,2*pi,25);
[X,Y] = meshgrid(x,y);
Z = sin(sqrt(X.^2+Y.^2))./(sqrt(X.^2+Y.^2));
mesh(X,Y,Z)
xlabel('x')
ylabel('y')
zlabel('z')

In this example, we generate a mesh of the function z = sin(sqrt(x^2 + y^2))/sqrt(x^2 + y^2). We first define two vectors, x and y, using the linspace function, and then use the meshgrid function to generate two matrices, X and Y, with the coordinates of the points that make up the mesh. We then use the formula to generate the Z matrix, which contains the heights of the points in the mesh. Finally, we use the mesh() function to plot the 3D mesh, and label the axes with the xlabel(), ylabel(), and zlabel() functions.

Conclusion

In summary, mesh() is a fundamental function for 3D visualization in MATLAB. With the ability to generate 3D mesh plots, you can easily show the relationship between three variables, and produce more complex graphs and visuals, making it an essential tool for engineers and scientists who work in MATLAB.