Special.ZernikeZExpansion(Func<Int32, Int32, Int32>, Vector<Double>, Boolean, Double, Double, Int32) Method

Evaluates an expansion of Zernike polynomials up to the specified radial degree.

Definition

Namespace: Extreme.Mathematics
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23

public static double ZernikeZExpansion(
	Func<int, int, int> scheme,
	Vector<double> coefficients,
	bool normalize,
	double x,
	double angle,
	int maxRadialDegree
)

Visual Basic

Public Shared Function ZernikeZExpansion ( 
	scheme As Func(Of Integer, Integer, Integer),
	coefficients As Vector(Of Double),
	normalize As Boolean,
	x As Double,
	angle As Double,
	maxRadialDegree As Integer
) As Double

C++/CLI

public:
static double ZernikeZExpansion(
	Func<int, int, int>^ scheme, 
	Vector<double>^ coefficients, 
	bool normalize, 
	double x, 
	double angle, 
	int maxRadialDegree
)

static member ZernikeZExpansion : 
        scheme : Func<int, int, int> * 
        coefficients : Vector<float> * 
        normalize : bool * 
        x : float * 
        angle : float * 
        maxRadialDegree : int -> float

Parameters

scheme Func<Int32, Int32, Int32>: A delegate that maps radial degree and azimuthal frequency to a linear index.
coefficients Vector<Double>: A matrix containing the coefficients in the lower triangular part.
normalize Boolean: Specifies whether the Zernike polynomial should be normalized.
x Double: A real number that specifies the radial argument.
angle Double: A real number that specifies the angular argument.
maxRadialDegree Int32: The highest radial degree of the polynomials to include in the series.

Return Value

Double
The sum of the Zernike polynomials with radial degree up to maxRadialDegree evaluated at x and angle and multiplied by the corresponding element of coefficients.

Remarks

If maxRadialDegree is less than zero, then zero is returned.

Exceptions

ArgumentNullException

scheme is null.

-or-

coefficients is null.