public static QuaternionD Slerp(
	QuaternionD source,
	QuaternionD target,
	double parameter
)

Public Shared Function Slerp ( 
	source As QuaternionD,
	target As QuaternionD,
	parameter As Double
) As QuaternionD

public:
static QuaternionD Slerp(
	QuaternionD source, 
	QuaternionD target, 
	double parameter
)

static member Slerp : 
        source : QuaternionD * 
        target : QuaternionD * 
        parameter : float -> QuaternionD 

Parameters

source

Type: DigitalRune.Mathematics.AlgebraQuaternionD
The start quaternion.

target

Type: DigitalRune.Mathematics.AlgebraQuaternionD
The end quaternion.

parameter

Type: SystemDouble
The interpolation factor that lies in the interval [0,1]; also known as interpolation factor or weight of the target value.

Return Value

Important: The method assumes the quaternions source and target are unit quaternions (i.e. they are normalized).

Rotations specified by unit quaternions can be interpolated with an operation known as spherical linear interpolation (SLERP). The operation is defined as:

slerp(q₀, q₁, t) = (q₀ sin(θ(1-t)) + q₁ sin(θt)) / sinθ where

• q₀, q₁ are unit quaternions representing start and destination rotation,
• t is the interpolation factor which lies in the interval [0, 1], and
• θ is the angle between q₀ and q₁, which can be determined by the dot product of q₀ and q₁.

The interpolation parameter can lie outside of the interval [0, 1]. Outside of this interval the method actually performs an extrapolation instead of an interpolation.

Reference