RadialBasisFunctions.Quintic Property

public static RadialBasisFunction Quintic { get; }

Public Shared ReadOnly Property Quintic As RadialBasisFunction
	Get

public:
static property RadialBasisFunction^ Quintic {
	RadialBasisFunction^ get ();
}

static member Quintic : RadialBasisFunction with get

Property Value

The quintic kernel grows as the fifth power of the radius and yields very smooth interpolants. Its derivative is φ'(r) = 5 r⁴, which has higher curvature near the origin compared to lower-order kernels. Use the quintic kernel when high smoothness and curvature control are required.

Note: This is a conditionally positive definite (CPD) kernel that requires polynomial augmentation. RBF interpolation with this kernel automatically includes an affine polynomial tail to ensure well-posedness and exact reproduction of linear functions.

Reference