Direct transformation of Zernike eye aberration coefficients between scaled, rotated, and/or displaced pupils

J Opt Soc Am A Opt Image Sci Vis. 2006 Sep;23(9):2061-6. doi: 10.1364/josaa.23.002061.

Abstract

In eye aberrometry it is often necessary to transform the aberration coefficients in order to express them in a scaled, rotated, and/or displaced pupil. This is usually done by applying to the original coefficients vector a set of matrices accounting for each elementary transformation. We describe an equivalent algebraic approach that allows us to perform this conversion in a single step and in a straightforward way. This approach can be applied to any particular definition, normalization, and ordering of the Zernike polynomials, and can handle a wide range of pupil transformations, including, but not restricted to, anisotropic scalings. It may also be used to transform the aberration coefficients between different polynomial basis sets.

MeSH terms

  • Computer Simulation
  • Cornea / physiopathology*
  • Corneal Topography / methods*
  • Diagnosis, Computer-Assisted / methods*
  • Humans
  • Models, Biological*
  • Pupil Disorders / diagnosis
  • Pupil Disorders / physiopathology
  • Refractive Errors / diagnosis*
  • Refractive Errors / physiopathology*
  • Refractometry / methods*
  • Reproducibility of Results
  • Rotation
  • Sensitivity and Specificity