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本文介绍了一种实现干涉条纹Zernike多项式拟合的简单算法。该算法虽然仍是基于Gram-Schmidt正交化方法,但用该算法求解Zernike系数时并不需要经过正交化过程,而是用谱Zernike多项式的协方差矩阵的线性变换来直接求解。因而它很适合于编写拟合过程的计算机程序,是一种比较理想的实现Zernike多项式拟合的算法。
This article presents a simple algorithm for fitting Zernike polynomials of interference fringes. Although the algorithm is still based on the Gram-Schmidt orthogonalization method, it does not need to go through the orthogonalization when the algorithm is used to solve the Zernike coefficients. Instead, it is directly solved by the linear transformation of the covariance matrix of the spectral Zernike polynomials. Therefore, it is very suitable for compiling the computer program of the fitting process and is an ideal algorithm for implementing Zernike polynomial fitting.