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> Unreal Engine API Reference > Runtime > Core > Math > FMath > FMath::CubicCRSplineInterp

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FMath::CubicCRSplineInterp

Cubic Catmull-Rom Spline interpolation.

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References

Module	Core
Header	/Engine/Source/Runtime/Core/Public/Math/UnrealMathUtility.h
Include	#include "Math/UnrealMathUtility.h"

Syntax

template<class U>
static U CubicCRSplineInterp
(
    const U & P0,
    const U & P1,
    const U & P2,
    const U & P3,
    const float T0,
    const float T1,
    const float T2,
    const float T3,
    const float T
)

Remarks

Cubic Catmull-Rom Spline interpolation. Based on http://www.cemyuksel.com/research/catmullrom_param/catmullrom.pdf Curves are guaranteed to pass through the control points and are easily chained together. Equation supports abitrary parameterization. eg. Uniform=0,1,2,3 ; chordal= |Pn - Pn-1| ; centripetal = |Pn - Pn-1|^0.5 P0 - The control point preceding the interpolation range. P1 - The control point starting the interpolation range. P2 - The control point ending the interpolation range. P3 - The control point following the interpolation range. T0-3 - The interpolation parameters for the corresponding control points. T - The interpolation factor in the range 0 to 1. 0 returns P1. 1 returns P2.

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