raygeo.mesh.pde

Functions

trace_spiral()

trace_spiral(
    mesh: types.TriangleMesh,
    u_field: Sequence[float],
    step_over: float,
    start_point: tuple[float, float] | None = None,
) -> Sequence[tuple[float, float, float]]

Trace a spiral toolpath from inner to outer boundary.

Uses the piecewise-constant gradient of the scalar field u to trace a smooth spiral that morphs from the inner boundary (u=0) to the outer boundary (u=1) without self-intersections.

Parameter	Type	Description
mesh	types.TriangleMesh	TriangleMesh with boundary tags from build_triangle_mesh.
u_field	Sequence[float]	Scalar field from solve_laplace, one value per vertex.
step_over	float	Desired radial step-over distance between spiral turns.
start_point	tuple[float, float] | None = None	Optional explicit start point (x,y).
Returns	Sequence[tuple[float, float, float]]	List of (x, y, z) points forming the spiral polyline.
Complexity		O(n * s) where n = triangles, s = spiral steps

Spiral toolpath traced on the Laplace solution — path morphs smoothly from the inner hole outward

Spiral toolpath traced on a multi-island Laplace solution — path navigates around four inner islands