rzernike: Radial Zernike Polynomial

In matwey/Rfringe: Rfringe

Description

Zernike's Radial Polynomials

Usage

rzernike(rho, n, m)
odd(n,m)

Arguments

rho	normalized radius, 0 <= rho <= 1
n	radial polynomial order
m	azimuthal order

Details

The arguments n and m must be relatively even.

Value

The value of the radial Zernike polynomial of order (n,m) at normalized radius rho. If rho is a vector, matrix, or higher order array the returned value is a vector or array of the same dimension.

The utility function odd(n,m) returns FALSE iff (n-m)%%2 == 0.

Note

This routine implements the recurrence relation given in Equation 12 of http://mathworld.wolfram.com/ZernikePolynomial.html.

In general you should call the higher level function Zernike instead of this.

Author(s)

M.L. Peck [e-mail]

References

http://mathworld.wolfram.com/ZernikePolynomial.html

See Also

Zernike.

matwey/Rfringe documentation built on May 12, 2019, 8:43 a.m.