3D Plotting in MATLAB: Lines, Surfaces, Meshes, and Scatter Graphs
MATLAB provides specialized functions for visualizing three-dimensional data including 3D line plots, shaded surface maps, wireframe meshes, and volumetric scatter graphs. These functions help engineers and researchers analyze multi-variable datasets, spatial trajectories, and mathematical surfaces.
Plot spatial curves and trajectories along three coordinates (X, Y, Z) using the plot3() function:
% 3D Helix Trajectory t = 0:pi/50:10*pi;
st = sin(t);
ct = cos(t);
figure;
plot3(st, ct, t, 'LineWidth', 2, 'Color', 'r');
grid on;
xlabel('X = sin(t)');
ylabel('Y = cos(t)');
zlabel('Z = t (Time / Height)');
title('3D Helix Trajectory Plot');
view(45, 30);
% Set azimuth and elevationVisualize bivariate mathematical functions (Z = f(X,Y)) over a 2D domain grid created with meshgrid():
% Create 2D Grid Coordinates [X, Y] = meshgrid(-2:0.1:2, -2:0.1:2);
Z = X .* exp(-X.^2 - Y.^2);
% 1. Shaded 3D Surface Plot
figure;
surf(X, Y, Z);
colormap(jet);
colorbar;
shading interp;
% Smooth color transitions
title('3D Surface Plot using surf()');
xlabel('X-Axis');
ylabel('Y-Axis');
zlabel('Z-Axis');
% 2. 3D Wireframe Mesh Plot
figure;
mesh(X, Y, Z);
colorbar;
title('3D Wireframe Mesh using mesh()');
xlabel('X-Axis');
ylabel('Y-Axis');
zlabel('Z-Axis');Visualize clustered data points in three-dimensional space with color-mapped values and variable marker sizing:
% Generate 3D Gaussian Point Cloud x = randn(200, 1);
y = randn(200, 1);
z = randn(200, 1);
colorValues = sqrt(x.^2 + y.^2 + z.^2);
% Distance from origin
figure;
scatter3(x, y, z, 50, colorValues, 'filled');
colormap(parula);
colorbar;
grid on;
xlabel('X Coordinate');
ylabel('Y Coordinate');
zlabel('Z Coordinate');
title('3D Volumetric Scatter Plot with Color Mapping');Project contour lines onto 3D planes to visualize gradient contours alongside surfaces:
% Combined Surface and 3D Contour Plot [X, Y, Z] = peaks(30);
figure;
surfc(X, Y, Z);
% Draws surface with contours beneath colormap(turbo);
colorbar;
title('3D Surface with Projected Contours (surfc)');
xlabel('X');
ylabel('Y');
zlabel('Z');| Function | Plot Type | Primary Use Case |
|---|---|---|
plot3(x, y, z) |
3D Line / Curve | UAV trajectories, orbital paths, helical springs, time-series data. |
surf(X, Y, Z) |
Shaded 3D Surface | Continuous mathematical functions, terrain elevation, thermal distribution. |
mesh(X, Y, Z) |
3D Wireframe | Grid connectivity, FEM structural deformation, low-overhead 3D inspection. |
scatter3(x, y, z) |
3D Scatter Points | Point cloud datasets, LiDAR sensor scans, multi-feature clustering. |
surfc(X, Y, Z) |
Surface + Contours | Optimization landscapes, cost function visualization, saddle points. |
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