Definitions
There are even and odd Zernike polynomials. The even ones are defined as
and the odd ones as
where m and n are nonnegative integers with n≥m, φ is the azimuthal angle, and ρ is the radial distance . Zernike polynomials have the property of being limited to a range of -1 to +1, i.e. . The radial polynomials Rmn are defined as
for n − m even, and are identically 0 for n − m odd.
Read more about this topic: Zernike Polynomials
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