Abstract
A set of orthogonal polynomials on the unit disk B(0,1) known as Zernike polynomials are commonly used in the analysis and evaluation of optical systems. Here Zernike polynomials are used to construct wavelets for polynomial subspaces of L2(B(0,1)). This naturally leads to a multiresolution analysis of L2(B(0,1)). Previously, other authors have dealt with the one dimensional case, and used orthogonal polynomials of a single variable to construct time localized bases for polynomial subspaces of an L2-space with arbitrary weight. Due to the nature of Zernike polynomials, the wavelet construction given here is well-suited for the analysis of two-dimensional signals defined on circular domains. This is shown by some experimental results done on corneal data.