Module curves 

Parametric curves — Bezier, B-Spline, Catmull-Rom, and Hermite splines.

All curves implement the Curve trait: sample(t) returns a point on the curve for t ∈ [0, 1]. Arc-length reparametrization is provided for uniform speed traversal.

Structs

ArcTable

Precomputed arc-length lookup table for uniform speed traversal.

BSpline

Cubic uniform B-Spline (C2 continuity). Does NOT pass through control points.

BezierN

Arbitrary-degree Bezier via De Casteljau’s algorithm.

CatmullRom

Catmull-Rom spline through a sequence of waypoints.

CompositeCurve

Multiple curve segments joined end-to-end.

CubicBezier

Cubic Bezier curve (4 control points).

CubicBezier2D

2D cubic Bezier for UI/path use.

CurveWalker

Iterator that walks a curve at fixed arc-length steps.

FrenetFrame

Frenet-Serret frame at a point on a curve.

HermiteSpline

Cubic Hermite spline: interpolates positions and velocities at each knot.

LineSegment

Simple line segment from A to B.

QuadraticBezier

Quadratic Bezier curve through 3 control points.

Traits

Curve

Common interface for parametric curves.