MATLAB Implementation of Zernike Polynomials for Human Eye Wavefront Aberration Analysis

This MATLAB program implements Zernike polynomials to characterize wavefront aberrations in the human ocular fundus. The implementation includes computational modules for Point Spread Function (PSF) and Modulation Transfer Function (MTF) analysis. The algorithm employs orthogonal Zernike basis functions to decompose complex wavefront distortions into manageable mathematical components. Our comprehensive PowerPoint documentation provides detailed discussions on the numerical implementation approach, including coordinate normalization, polynomial coefficient calculation, and aberration reconstruction. The program incorporates advanced computational steps such as Fourier optics transformations for PSF generation and frequency domain analysis for MTF computation, ensuring higher accuracy in modeling ocular imperfections. Through systematic Zernike coefficient optimization and wavefront reconstruction algorithms, this tool facilitates deeper understanding of visual system characteristics and enables detailed study of fundus wavefront aberration patterns. This resource is particularly valuable for both students and professionals interested in ophthalmological optics research, offering practical implementation insights through well-documented code structure and analytical modules.