A CubicSpline3d is a cubic Bézier curve in 3D defined by a start point, end point and two control points. This module contains functionality for

• Constructing splines
• Evaluating points and derivatives along a spline
• Scaling, rotating, translating or mirroring a spline
• Converting a spline between local and global coordinates in different reference frames

Constructors

Properties

Evaluation

Transformations

Coordinate conversions

Subdivision

Arc length parameterization

Low level

An ArcLengthParameterized value is a combination of an ArcLengthParameterization and an underlying CubicSpline3d. If you need to do something fancy, you can extract these two values separately.

Differentiation

You are unlikely to need to use these functions directly, but they are useful if you are writing low-level geometric algorithms. As with the other curve evaluation functions, passing a parameter value outside the range 0 to 1 will result in Nothing.