Sampling geometries for ocular aberrometry: A model for evaluation of performance

Abstract

The purpose of this work is to outline a simple model to
\nassess the relative merits of different sampling grids for ocular aberrometry
\nand illustrate it with an example. While in traditional Hartmann-Shack
\nsetups the sampling grid geometries have been somewhat restricted by the
\ngeometries of the available microlens arrays, other techniques such as laser
\nray tracing or spatially resolved refractometry allow for a greater freedom
\nof choice. For all available setups, including HS, it is worth studying
\nwhich of these choices perform better in terms of accuracy (closeness
\nof the obtained results to the actual ones) and precision (uncertainty
\nof the obtained results). Whilst the mathematical model presented in
\nthis paper is quite general and it can be applied to optimise existing or
\nnew aberrometers, the numerical results presented in the example are
\nonly valid for the particular aberration sample used and centroiding algorithms studied, and should not be generalised outside of these boundaries