How to Use Mesh in MATLAB: Syntax, Example, and Tips

In MATLAB, use the mesh function to create a 3D mesh plot of surface data defined by matrices X, Y, and Z. The syntax is mesh(X,Y,Z), where X and Y define the grid coordinates and Z defines the height values. This visualizes data as a wireframe surface.

Syntax

The basic syntax for the mesh function is:

• mesh(Z): Creates a mesh plot using matrix Z with default X and Y coordinates.
• mesh(X,Y,Z): Uses matrices X and Y to specify the grid coordinates and Z for heights.
• mesh(..., 'PropertyName', PropertyValue): Customize the mesh appearance with properties like color and edge style.

matlab

mesh(X,Y,Z)

% where
% X, Y: matrices of the same size defining grid coordinates
% Z: matrix of the same size defining surface heights

Example

This example creates a mesh plot of the function z = sin(sqrt(x^2 + y^2)) over a grid.

matlab

x = -5:0.5:5;
y = -5:0.5:5;
[X,Y] = meshgrid(x,y);
Z = sin(sqrt(X.^2 + Y.^2));
mesh(X,Y,Z)
title('3D Mesh Plot of z = sin(sqrt(x^2 + y^2))')
xlabel('X axis')
ylabel('Y axis')
zlabel('Z axis')

Output

A 3D wireframe mesh plot window appears showing a ripple surface shaped by the sine function.

Common Pitfalls

Common mistakes when using mesh include:

• Using vectors instead of matrices for X, Y, and Z. Use meshgrid to create coordinate matrices.
• Passing Z with a different size than X and Y. All must be the same size.
• Confusing mesh with surf. mesh creates a wireframe, while surf creates a colored surface.

matlab

x = -5:5;
y = -5:5;
Z = sin(sqrt(x.^2 + y.^2)); % Incorrect: Z is vector, not matrix
mesh(x,y,Z) % This will cause an error

% Correct way:
[X,Y] = meshgrid(x,y);
Z = sin(sqrt(X.^2 + Y.^2));
mesh(X,Y,Z)

Quick Reference

Syntax	Description
mesh(Z)	Plot mesh using Z with default X and Y coordinates
mesh(X,Y,Z)	Plot mesh with specified grid coordinates X, Y and heights Z
mesh(..., 'EdgeColor', 'r')	Set mesh edge color to red
mesh(..., 'FaceColor', 'none')	Make mesh faces transparent (wireframe)
mesh(..., 'LineStyle', '--')	Change mesh line style to dashed

Key Takeaways

Use mesh(X,Y,Z) with coordinate matrices X, Y and height matrix Z for 3D wireframe plots.

Create grid matrices X and Y using meshgrid before calling mesh.

Ensure X, Y, and Z are the same size to avoid errors.

mesh creates a wireframe surface, different from surf which creates a colored surface.

Customize mesh appearance with properties like 'EdgeColor' and 'LineStyle'.