Class SplineHelpers

A collection of utilities relating to Bezier splines

Inheritance

object

SplineHelpers

Inherited Members

object.Equals(object)

object.Equals(object, object)

object.GetHashCode()

object.GetType()

object.MemberwiseClone()

object.ReferenceEquals(object, object)

object.ToString()

Namespace: Cinemachine.Utility

Assembly: Cinemachine.dll

Syntax

public static class SplineHelpers

Methods

Bezier1(float, float, float, float, float)

Compute the value of a 4-point 1-dimensional bezier spline

Declaration

public static float Bezier1(float t, float p0, float p1, float p2, float p3)

Parameters

Type	Name	Description
float	t	How far along the spline (0...1)
float	p0	First point
float	p1	First tangent
float	p2	Second point
float	p3	Second tangent

Returns

Type	Description
float	The spline value at t

Bezier3(float, Vector3, Vector3, Vector3, Vector3)

Compute the value of a 4-point 3-dimensional bezier spline

Declaration

public static Vector3 Bezier3(float t, Vector3 p0, Vector3 p1, Vector3 p2, Vector3 p3)

Parameters

Type	Name	Description
float	t	How far along the spline (0...1)
Vector3	p0	First point
Vector3	p1	First tangent
Vector3	p2	Second point
Vector3	p3	Second tangent

Returns

Type	Description
Vector3	The spline value at t

BezierTangent1(float, float, float, float, float)

Compute the tangent of a 4-point 1-dimensional bezier spline

Declaration

public static float BezierTangent1(float t, float p0, float p1, float p2, float p3)

Parameters

Type	Name	Description
float	t	How far along the spline (0...1)
float	p0	First point
float	p1	First tangent
float	p2	Second point
float	p3	Second tangent

Returns

Type	Description
float	The spline tangent at t

BezierTangent3(float, Vector3, Vector3, Vector3, Vector3)

Compute the tangent of a 4-point 3-dimensional bezier spline

Declaration

public static Vector3 BezierTangent3(float t, Vector3 p0, Vector3 p1, Vector3 p2, Vector3 p3)

Parameters

Type	Name	Description
float	t	How far along the spline (0...1)
Vector3	p0	First point
Vector3	p1	First tangent
Vector3	p2	Second point
Vector3	p3	Second tangent

Returns

Type	Description
Vector3	The spline tangent at t

BezierTangentWeights3(Vector3, Vector3, Vector3, Vector3, out Vector3, out Vector3, out Vector3)

Compute the weights for the tangent of a 4-point 3-dimensional bezier spline

Declaration

public static void BezierTangentWeights3(Vector3 p0, Vector3 p1, Vector3 p2, Vector3 p3, out Vector3 w0, out Vector3 w1, out Vector3 w2)

Parameters

Type	Name	Description
Vector3	p0	First point
Vector3	p1	First tangent
Vector3	p2	Second point
Vector3	p3	Second tangent
Vector3	w0	First output weight
Vector3	w1	Second output weight
Vector3	w2	Third output weight

ComputeSmoothControlPoints(ref Vector4[], ref Vector4[], ref Vector4[])

Use the Thomas algorithm to compute smooth tangent values for a spline.
Resultant tangents guarantee second-order smoothness of the curve.

Declaration

public static void ComputeSmoothControlPoints(ref Vector4[] knot, ref Vector4[] ctrl1, ref Vector4[] ctrl2)

Parameters

Type	Name	Description
Vector4[]	knot	The knots defining the curve
Vector4[]	ctrl1	Output buffer for the first control points (1 per knot)
Vector4[]	ctrl2	Output buffer for the second control points (1 per knot)

ComputeSmoothControlPointsLooped(ref Vector4[], ref Vector4[], ref Vector4[])

Use the Thomas algorithm to compute smooth tangent values for a spline.
This method will assume that the spline is looped (i.e. that the last knot is followed by the first). Resultant tangents guarantee second-order smoothness of the curve.

Declaration

public static void ComputeSmoothControlPointsLooped(ref Vector4[] knot, ref Vector4[] ctrl1, ref Vector4[] ctrl2)

Parameters

Type	Name	Description
Vector4[]	knot	The knots defining the curve
Vector4[]	ctrl1	Output buffer for the first control points (1 per knot)
Vector4[]	ctrl2	Output buffer for the second control points (1 per knot)