Zonal matrix iterative method for wavefront reconstruction from gradient measurements

J Refract Surg. 2005 Sep-Oct;21(5):S563-9. doi: 10.3928/1081-597X-20050901-28.

Abstract

Purpose: To present an alternate method to Zemike decomposition (modal) of wavefront reconstruction using iterative implicit solution to the finite difference equations (zonal).

Methods: Different reconstruction methods, modal and zonal, were compared and the advantages of each method were analyzed.

Results: Although the modal or Zemike method allows for quantitative interpretation of some of the aberrations, it is cumbersome for use with fine details and may lead to errors for eyes with keratoconus or other rapidly varying aberration. The zonal method produces a very high-resolution map that can be used for identifying irregular structures.

Conclusions: The distinction between the two methods is useful to maintain, and the solution methods are generally different. In practice, both methods are useful and, with modern computers, both zonal and lower-order modal may be calculated rapidly. The difference between the wavefronts derived from the two methods may provide useful insight or interpretation of the infornation.

MeSH terms

  • Cornea / pathology*
  • Corneal Topography / methods*
  • Humans
  • Mathematics*
  • Models, Statistical
  • Refraction, Ocular
  • Refractive Errors / diagnosis*