一种用于估计角膜表面泽尼克多项式模型阶数的改进型自助法。

A refined bootstrap method for estimating the Zernike polynomial model order for corneal surfaces.

作者信息

Iskander D Robert, Morelande Mark R, Collins Michael J, Buehren Tobias

机构信息

Contact Lens and Visual Optics Laboratory, School of Optometry, Queensland University of Technology, Victoria Park Rd, Kelvin Grove Q4059, Australia.

出版信息

IEEE Trans Biomed Eng. 2004 Dec;51(12):2203-6. doi: 10.1109/TBME.2004.834252.

DOI:10.1109/TBME.2004.834252

PMID:15605870

Abstract

Following our previous work on optimal modeling of corneal surfaces with Zernike polynomials, we have developed a refined bootstrap-based procedure which improves the accuracy of the previous method. We show that for normal corneas, the optimal number of Zernike terms usually corresponds to the fourth or fifth radial order expansion of Zernike polynomials. On the other hand, for distorted corneas such as those encountered in keratoconus or in surgically altered cases, the estimated model was found to be up to three radial orders higher than for normal corneas.

摘要

基于我们之前用泽尼克多项式对角膜表面进行优化建模的工作，我们开发了一种改进的基于自助法的程序，该程序提高了先前方法的准确性。我们表明，对于正常角膜，泽尼克项的最佳数量通常对应于泽尼克多项式的第四或第五径向阶展开。另一方面，对于像圆锥角膜或手术改变病例中出现的变形角膜，发现估计模型的径向阶比正常角膜高出多达三阶。