J Opt Soc Am A Opt Image Sci Vis. 2010 Aug 01;27(8):1818-27. doi: 10.1364/JOSAA.27.001818.

Centroid displacement statistics of the eye aberration.

Journal of the Optical Society of America. A, Optics, image science, and vision

Eliseo Pailos, Abbas Ommani, Luis Diaz-Santana, Salvador Bará

PMID: 20686586 DOI: 10.1364/JOSAA.27.001818

Abstract

We discuss a method for the study of the spatial statistics of the ocular aberrations, based on the direct use of the Hartmann-Shack centroid displacements, avoiding the wavefront reconstruction step. Centroid diagrams are introduced as a helpful aid to visualize basic properties of the aberration datasets, and slope-related second-order statistical functions are applied to check the compatibility between the experimental data and different models for the aberration statistics. Preliminary results suggest that no single power-law spectrum (e.g., Kolmogorov's) is able to represent the whole range of spatial statistics of individual eye fluctuations and that more elaborated models, including at least the contribution of a relevant defocus fluctuation term, are required. This centroid-based approach allows for an easier intercomparison of results between laboratories and avoids the bias and information loss associated with the estimation of a reduced number of Zernike coefficients from a much wider slope data set.

MeSH terms

• Corneal Wavefront Aberration / physiopathology
• Eye Diseases / physiopathology
• Humans
• Models, Biological*

Publication Types

• Journal Article
• Research Support, Non-U.S. Gov't