ZernikePolynomial

MATLAB

zp_out = ZernikePolynomial(noll_order,rho,theta)

Description

Returns the value of the Zernike polynomial of order noll_order at normalized radius rho and angle theta: 0<=rho<=1 0<=theta<=2pi. rho and theta may be scalar or matrix quantity.

Parameters

Parameters	Description
noll_order [scalar]	Noll order for required Zernike polynomial
rho [matrix]	Radius values
theta [matrix]	Theta values

Return Values

Return Values	Description
zp_out [vector]	Zernike polynomial values

Examples

>> x = ((1:64)-(64/2+1))*0.01;

>> [y,x] = meshgrid(x,x);

>> rad = sqrt(x.^2+y.^2);

>> theta = atan2(y,x);

>> rho = rad./0.25;

>> z = ZernikePolynomial(5,rho,theta);