OrthogonalPolynomialsZernikeR Method

public static double ZernikeR(
	int n,
	int m,
	double rho
)

Public Shared Function ZernikeR ( 
	n As Integer,
	m As Integer,
	rho As Double
) As Double

public:
static double ZernikeR(
	int n, 
	int m, 
	double rho
)

static member ZernikeR : 
        n : int * 
        m : int * 
        rho : float -> float 

Parameters

n

Type: SystemInt32
The order paramter, which must be non-negative.

m

Type: SystemInt32
The index parameter, which must lie between 0 and n.

rho

Type: SystemDouble
The argument, which must lie between 0 and 1.

Return Value

Zernike polynomials are orthononal on the interval [0,1] with the weight ρ.

They are often used in optics to characterize the imperfections in a lens. In this context, the amplitude of each is associated with a name given in the following table.

Reference