Demonstration of Zernike Polynomial Fitting

This source program demonstrates Zernike polynomial fitting implementation using MATLAB R2006b development environment. The code provides practical insights into Zernike polynomial fitting algorithms, featuring key mathematical computations for orthogonal polynomial basis generation and surface approximation techniques. By studying this implementation, developers can better understand the algorithmic details of Zernike fitting, enabling them to create more efficient and accurate fitting algorithms for optical system analysis and wavefront reconstruction. The program includes essential functions for calculating Zernike coefficients through least-squares fitting methods and visualizing the reconstructed surfaces. Important implementation aspects covered include coordinate normalization, polynomial index management, and matrix-based coefficient calculation using MATLAB's built-in linear algebra functions. Please note that if running this program on different MATLAB versions, appropriate modifications may be required, particularly regarding function compatibility and plotting features. This source code serves as a valuable reference for optical engineering applications and mathematical fitting algorithm development.