mesh — Create wireframe surface plots in MATLAB and RunMat.

mesh creates wireframe surface plots from vector axes or meshgrid-style coordinates plus height data. Handle behavior and axis integration follow MATLAB semantics.

Syntax

h = mesh(Z)
h = mesh(X, Y, Z)
h = mesh(Z, Name, Value, ...)
h = mesh(X, Y, Z, Name, Value, ...)

Inputs

NameTypeRequiredDefaultDescription
ZNumericArrayYesSurface height grid.
XNumericArrayYesX axis vector/meshgrid matrix matching Z columns.
YNumericArrayYesY axis vector/meshgrid matrix matching Z rows.
propsAnyVariadicName/value surface style options.

Returns

NameTypeDescription
hNumericScalarHandle to the rendered mesh surface.

Errors

IdentifierWhenMessage
RunMat:mesh:InvalidArgumentSurface input arrays or style name/value arguments are invalid.mesh: invalid argument
RunMat:mesh:InternalInternal surface generation/render preparation fails unexpectedly.mesh: internal operation failed

How mesh works

  • mesh(Z) uses implicit axes, while mesh(X, Y, Z) accepts vector axes or meshgrid-style coordinate matrices.
  • The builtin returns a surface handle, so mesh plots can still be inspected through the graphics-object system.
  • mesh is the wireframe-oriented companion to surf; for combined wireframe plus contour overlays, use meshc.
  • RunMat uses the shared surface pipeline for mesh rendering, so view, z-axis labeling, and subplot-local state behave consistently across the surface family.
  • GPU-backed rendering is preferred when the plotting device can consume exported buffers directly.

Examples

Create a wireframe mesh from a height field

[X, Y] = meshgrid(linspace(-2, 2, 60), linspace(-2, 2, 60));
Z = sin(X.^2 + Y.^2);
mesh(X, Y, Z);

Compare wireframe presentation with subplot-local state

subplot(1, 2, 1);
[X, Y] = meshgrid(linspace(-2, 2, 40), linspace(-2, 2, 40));
Z = cos(X) .* sin(Y);
mesh(X, Y, Z);
view(3);
subplot(1, 2, 2);
surf(X, Y, Z);
view(3);

Inspect the returned surface handle from mesh

[X, Y] = meshgrid(1:20, 1:20);
Z = X + Y;
h = mesh(X, Y, Z);
get(h, 'Type')

Expected output:

ans =
    'surface'

Saddle surface showing grid structure

[X, Y] = meshgrid(linspace(-3, 3, 60), linspace(-3, 3, 60));
Z = X.^2 - Y.^2;

mesh(X, Y, Z);
colormap('jet');
colorbar;
title('Hyperbolic Paraboloid');
xlabel('x');
ylabel('y');
zlabel('z = x^2 - y^2');
view(40, 30);
Expected output:
Saddle surface showing grid structure

Compare this result with other chart types in the MATLAB Plot Gallery.

Using mesh with coding agents

Open a RunMat example with live inputs, then ask the agent to explain how mesh changes the result.

Run a small mesh example, explain the result, then change one input and compare the output.

FAQ

Can I get a filled surface instead of wireframe?

That's what surf is for. mesh draws only the grid lines with transparent faces, while surf fills the faces with colormap-derived colors. If you want the wireframe look but with partial fill, there's no built-in blend — use surf with a low alpha or switch to mesh and accept the wireframe.

How do I combine a mesh with contour lines underneath?

Use meshc instead of mesh. It draws the same wireframe surface but projects contour lines onto the base plane automatically.

[X, Y] = meshgrid(linspace(-2, 2, 50));
Z = sin(X.^2 + Y.^2);
meshc(X, Y, Z);
Can I control transparency on a mesh plot?

Mesh plots don't have filled faces to make transparent — the faces are already open. If you need a semi-transparent surface, use surf and set the FaceAlpha property on the returned handle. The wireframe edges on mesh are always fully opaque.

More plotting resources

Open-source implementation

Unlike proprietary runtimes, every RunMat function is open-source. Read exactly how mesh is executed, line by line, in Rust.

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