1. Annular Zernike polynomials: Annular Zernike polynomials are based on diffraction theory and take into account the presence of the central obscuration in the pupil. They are the most general form of Zernike polynomials. They are normally used in astronomical wavefront sensors (like Puntino), to take into account the obscuration by the secondary mirror of the telescope
- Standard Zernike polynomials: Standard Zernike polynomials follow from Annular Zernike polynomials, with the central obscuration factor, and are normalized over the pupil
- Fringe Zernike polynomials: Fringe Zernike polynomials are the same as Standard Zernike polynomials without the normalization factors. They are mainly used in the field of interferometry (as suggested by the name)
- Seidel polynomials: The Seidel polynomials are the extension of Seidel aberrations from geometrical optics
