Scaling Zernike expansion coefficients to smaller pupil sizes: a simpler formula

J Opt Soc Am A Opt Image Sci Vis. 2006 Mar;23(3):539-43. doi: 10.1364/josaa.23.000539.

Abstract

In a recent paper [J. Opt. Soc. Am. A 19, 1937 (2002)] a recursive analytical formula was derived to calculate a set of new Zernike polynomial expansion coefficients from an original set when the size of the aperture is reduced. In the current paper I describe a more intuitive derivation of a simpler, nonrecursive formula, which is used to calculate the instantaneous refractive power.

Publication types

  • Comment

MeSH terms

  • Algorithms*
  • Computer Simulation
  • Cornea / physiopathology*
  • Corneal Topography / methods*
  • Diagnosis, Computer-Assisted / methods*
  • Models, Biological*
  • Models, Statistical
  • Pupil / physiology*
  • Refractive Errors / diagnosis*
  • Refractive Errors / physiopathology*
  • Refractometry / methods*