Abstract
Abstract
Background
This study uses bootstrapping to evaluate the technical variability (in terms of model parameter variation) of Zernike corneal surface fit parameters based on Casia2 biometric data.
Methods
Using a dataset containing N = 6953 Casia2 biometric measurements from a cataractous population, a Fringe Zernike polynomial surface of radial degree 10 (36 components) was fitted to the height data. The fit error (height – reconstruction) was bootstrapped 100 times after normalisation. After reversal of normalisation, the bootstrapped fit errors were added to the reconstructed height, and characteristic surface parameters (flat/steep axis, radii, and asphericities in both axes) extracted. The median parameters refer to a robust surface representation for later estimates of elevation, whereas the SD of the 100 bootstraps refers to the variability of the surface fit.
Results
Bootstrapping gave median radius and asphericity values of 7.74/7.68 mm and −0.20/−0.24 for the corneal front surface in the flat/steep meridian and 6.52/6.37 mm and −0.22/−0.31 for the corneal back surface. The respective SD values for the 100 bootstraps were 0.0032/0.0028 mm and 0.0093/0.0082 for the front and 0.0126/0.0115 mm and 0.0366/0.0312 for the back surface. The uncertainties for the back surface are systematically larger as compared to the uncertainties of the front surface.
Conclusion
As measured with the Casia2 tomographer, the fit parameters for the corneal back surface exhibit a larger degree of variability compared with those for the front surface. Further studies are needed to show whether these uncertainties are representative for the situation where actual repeat measurements are possible.
Funder
Universitätsklinikum des Saarlandes und Medizinische Fakultät der Universität des Saarlandes
Publisher
Springer Science and Business Media LLC
Subject
Cellular and Molecular Neuroscience,Sensory Systems,Ophthalmology
Reference19 articles.
1. Langenbucher A, Seitz B, Kus MM, Naumann GO (1999) Zernike representation of corneal topography height data after nonmechanical penetrating keratoplasty. Invest Ophthalmol Vis Sci 40(3):582–591
2. Langenbucher A, Seitz B, Naumann GO (2002) Three-axis ellipsoidal fitting of videokeratoscopic height data after penetrating keratoplasty. Curr Eye Res 24(6):422–429. https://doi.org/10.1076/ceyr.24.6.422.8597
3. Schwiegerling J, Greivenkamp JE, Miller JM (1995) Representation of videokeratoscopic height data with Zernike polynomials. J Opt Soc Am A Opt Image Sci Vis 12(10):2105–2113. https://doi.org/10.1364/josaa.12.002105
4. Schröder S, Mäurer S, Eppig T, Seitzs B, Rubly K, Langenbucher A (2018) Comparison of corneal tomography. Repeatability, precision, misalignment, mean elevation, and mean pachymetry. Curr Eye Res 43:709–716. https://doi.org/10.1080/02713683.2018.1441873
5. Gross H (2015) Imaging and aberration theory: Lecture 12: Zernike polynomials 2015-01-29. https://docslib.org/doc/4768414/iat14-imaging-and-aberration-theory-lecture-12-zernike-polynomials-pdf (26 April 2023)