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mesh algorithms

Coons patch from four boundary curves

Fill the space between four boundary curves with a bilinearly blended Coons surface, from functions or polylines. Use it for terrain fills, cloth panels, car body patches and quick lofts.

Recorded render of Coons patch from four boundary curves

What this component contains

  • ATTRIBUTION.md
  • LICENSE
  • README.md
  • component.json
  • coons_patch.py
  • example.gltf
  • meshkit.py
  • preview.png
  • test_package.py
  • verification/native.json

How it works

Entry points
coons_point, polyline_function, demo_boundary, coons_patch, build, main
Parameters
boundary, resolution
Complexity
O(resolution^2)
Axes
+Y up, metres

Recorded checks

godot 4.7.2.stable.official.ed1daf0bf

  • generator_runs_system_python
  • generator_runs_verifier_python
  • gltf_strict_structure
  • interpreters_agree
  • example_matches_generator
  • godot_headless_gltf_load
  • godot_compatibility_render

Limits to consider

The four curves must meet at their corners (not checked). Bilinear blending matches positions only (C0 across patch borders), not tangents. Polyline boundaries are followed by arc length, so their corners do not line up with grid lines in general.