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Builtin Reference
    • DelaunayTri
    • freeBoundary
    • nearestNeighbor
    • pointLocation

freeBoundary — Return boundary edges for a DelaunayTri triangulation.

freeBoundary(dt) returns an M-by-2 one-based edge list for edges used by only one triangle in a 2-D DelaunayTri object.

Syntax

out = helper(dt, varargin)

Inputs

NameTypeRequiredDefaultDescription
dtAnyYes—DelaunayTri object.
vararginAnyVariadic—Query point matrix or coordinate vectors.

Returns

NameTypeDescription
outNumericArrayNumeric result.

Errors

IdentifierWhenMessage
RunMat:DelaunayTri:InvalidArgumentConstructor, object, constraint, or query inputs are malformed.DelaunayTri: invalid argument
RunMat:DelaunayTri:UnsupportedThe legacy class is used with constrained or 3-D triangulation forms that RunMat does not implement yet.DelaunayTri: unsupported form

How freeBoundary works

  • Accepts DelaunayTri objects from the legacy constructor.
  • MATLAB-compatible object connectivity uses double storage; manually supplied typed-integer connectivity is available in runmat compatibility mode.
  • Returns one-based vertex indices sorted deterministically by edge.
  • Returns a 0-by-2 tensor for empty triangulations.

Example

Find outer edges

dt = DelaunayTri([0 0; 1 0; 0 1]);
e = freeBoundary(dt);

Using freeBoundary with coding agents

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

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

Related Geometry functions

DelaunayTri · nearestNeighbor · pointLocation

Open-source implementation

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

  • View the source for freeBoundary in Rust on GitHub
  • Learn how the RunMat runtime works
  • Found a bug? Open an issue with a minimal reproduction.

About RunMat

RunMat is an open-source runtime that executes MATLAB-syntax code blazing on any GPU. It is licensed under the Apache 2.0 license.

  • RunMat automatically optimizes your math for GPU execution on Apple, Nvidia, and AMD hardware. No code changes needed. Simulations that took hours now take minutes.
  • Start running code in seconds. RunMat runs in the browser, on the desktop, or from the CLI. No license server, no IT ticket.

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On this page
  • Syntax
  • Inputs
  • Returns
  • Errors
  • How freeBoundary works
  • Example
  • Find outer edges
  • Using freeBoundary with coding agents
  • Related Geometry functions
  • Open-source implementation
  • About RunMat