DelaunayTri — Create a legacy 2-D Delaunay triangulation object.
DelaunayTri creates the legacy MATLAB triangulation object shape for 2-D point inputs. RunMat stores both legacy properties (X, Triangulation, Constraints) and modern triangulation-compatible aliases (Points, ConnectivityList) so downstream helpers such as triplot, freeBoundary, nearestNeighbor, and pointLocation can consume the same object.
Syntax
dt = DelaunayTri()
dt = DelaunayTri(X)
dt = DelaunayTri(x, y)
dt = DelaunayTri(X, C)Inputs
| Name | Type | Required | Default | Description |
|---|---|---|---|---|
varargin | Any | Variadic | — | Point matrix, coordinate vectors, and optional constraints. |
Returns
| Name | Type | Description |
|---|---|---|
dt | Any | Legacy DelaunayTri triangulation object. |
Errors
| Identifier | When | Message |
|---|---|---|
RunMat:DelaunayTri:InvalidArgument | Constructor, object, constraint, or query inputs are malformed. | DelaunayTri: invalid argument |
RunMat:DelaunayTri:Unsupported | The legacy class is used with constrained or 3-D triangulation forms that RunMat does not implement yet. | DelaunayTri: unsupported form |
How DelaunayTri works
DelaunayTri()returns an empty 2-D triangulation object with 0-by-2 points and 0-by-3 connectivity.DelaunayTri(X)accepts an N-by-2 finite point matrix and constructs one-based triangle connectivity.DelaunayTri(x, y)accepts equal-length coordinate vectors.- MATLAB-compatible coordinates and topology use double storage. Typed-integer coordinates and typed-integer empty constraints are available in
runmatcompatibility mode; nonempty constrained triangulation remains unsupported. - Duplicate point coordinates are ignored for triangulation while the public point matrix preserves the supplied rows.
- Nonempty constrained triangulation inputs and 3-D point forms return explicit unsupported-target errors rather than placeholder topology.
Examples
Create a 2-D triangulation from a point matrix
X = [0 0; 1 0; 0 1; 1 1];
dt = DelaunayTri(X);
tri = dt.Triangulation;Create from coordinate vectors and plot the mesh
x = [0 1 0 1];
y = [0 0 1 1];
dt = DelaunayTri(x, y);
triplot(dt);Using DelaunayTri with coding agents
Open a RunMat example with live inputs, then ask the agent to explain how DelaunayTri changes the result.
Run a small DelaunayTri example, explain the result, then change one input and compare the output.
FAQ
Which DelaunayTri properties are available?⌄
RunMat exposes X, Triangulation, Constraints, Points, ConnectivityList, and Dimension.
Does RunMat support constrained or 3-D DelaunayTri inputs?⌄
Not yet. Those forms fail deterministically with RunMat:DelaunayTri:Unsupported.
Does DelaunayTri preserve gpuArray residency?⌄
No. The constructor gathers numeric inputs because triangulation creates CPU object topology and not a dense numeric GPU result.
Related Geometry functions
Open-source implementation
Unlike proprietary runtimes, every RunMat function is open-source. Read exactly how DelaunayTri is executed, line by line, in Rust.
- View the source for DelaunayTri in Rust on GitHub
- Learn how the RunMat runtime works
- Found a bug? Open an issue with a minimal reproduction.
About RunMat
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