Title :
A refined bootstrap method for estimating the Zernike polynomial model order for corneal surfaces
Author :
Iskander, D. Robert ; Morelande, Mark R. ; Collins, Michael J. ; Buehren, Tobias
Author_Institution :
Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Parkville, Vic., Australia
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.
Keywords :
Zernike polynomials; eye; physiological models; Zernike polynomial model; corneal surfaces; keratoconus; refined bootstrap method; surgically altered cornea; Biomedical measurements; Biomedical optical imaging; Contacts; Cornea; Instruments; Lenses; Noise measurement; Polynomials; Surface fitting; Surface topography; Cornea; model order selection; resampling techniques; Algorithms; Computer Simulation; Cornea; Corneal Diseases; Corneal Topography; Diagnosis, Computer-Assisted; Feedback; Models, Biological; Numerical Analysis, Computer-Assisted;
Journal_Title :
Biomedical Engineering, IEEE Transactions on
DOI :
10.1109/TBME.2004.834252
