mesh and surf for surfaces in MATLAB - Mini Project: Build & Apply

Visualizing 3D Surfaces with mesh and surf in MATLAB

📖 Scenario: You are working as a data analyst and need to visualize a simple 3D surface to understand how values change over two variables. You will use MATLAB's mesh and surf functions to create clear 3D plots.

🎯 Goal: Build a MATLAB script that creates a grid of points, calculates a surface function over that grid, and then displays the surface using both mesh and surf plots.

📋 What You'll Learn

Create two vectors for X and Y coordinates using linspace

Generate a grid of points using meshgrid

Calculate Z values using the function Z = sin(X) .* cos(Y)

Plot the surface using mesh

Plot the surface using surf

💡 Why This Matters

🌍 Real World

Scientists and engineers often visualize 3D surfaces to understand how two variables affect a result, such as temperature over an area or elevation on a map.

💼 Career

Knowing how to create 3D surface plots in MATLAB is useful for data analysis, simulation, and presenting complex data clearly in engineering and research jobs.

1

Create X and Y coordinate vectors

Create two vectors called x and y using linspace. Set x from 0 to 2*pi with 30 points, and y from 0 to 2*pi with 30 points.

MATLAB

# Create vectors x and y using linspace
# Your code here

Need a hint?

Use linspace(start, end, number_of_points) to create evenly spaced points.

2

Generate grid of points with meshgrid

Use meshgrid with the vectors x and y to create matrices X and Y.

MATLAB

x = linspace(0, 2*pi, 30);
y = linspace(0, 2*pi, 30);
# Use meshgrid to create X and Y matrices
# Your code here

Need a hint?

meshgrid creates matrices for X and Y coordinates to evaluate functions over a grid.

3

Calculate Z values for the surface

Calculate matrix Z using the formula Z = sin(X) .* cos(Y).

MATLAB

x = linspace(0, 2*pi, 30);
y = linspace(0, 2*pi, 30);
[X, Y] = meshgrid(x, y);
# Calculate Z using sin(X) .* cos(Y)
# Your code here

Need a hint?

Use element-wise multiplication with .* to combine sin(X) and cos(Y).

4

Plot the surface using mesh and surf

Use mesh(X, Y, Z) to create a wireframe plot, then use figure to open a new window and surf(X, Y, Z) to create a colored surface plot. Add shading interp after surf for smooth colors.

MATLAB

x = linspace(0, 2*pi, 30);
y = linspace(0, 2*pi, 30);
[X, Y] = meshgrid(x, y);
Z = sin(X) .* cos(Y);
# Plot mesh and surf surfaces
# Your code here

Need a hint?

Use figure to open a new plot window before surf. shading interp smooths the colors on the surface.