RadialBasisFunctions.InverseQuadratic Method

public static RadialBasisFunction InverseQuadratic(
	double shape
)

Public Shared Function InverseQuadratic ( 
	shape As Double
) As RadialBasisFunction

public:
static RadialBasisFunction^ InverseQuadratic(
	double shape
)

static member InverseQuadratic : 
        shape : float -> RadialBasisFunction 

Parameters

shape  Double

The shape parameter ε. Must be positive. Smaller values produce broader, flatter basis functions; larger values concentrate the influence near the center.

Return Value

The inverse quadratic kernel is smooth, decays to zero as r increases, and has finite value at the origin: φ(0) = 1. Its derivative is φ'(r) = -2 ε² r / (1 + (εr)²)², which is zero at r = 0 and changes sign as r increases.

This kernel is often used for interpolation and smoothing problems where a compactly decaying influence is preferred without requiring a compact support truncation.

Reference