An Interpolation Method using the Biharmonic equation for Rigid Contact Lenses

Glen Pearson, Ram Iyer, Steven Mathews

Research output: Contribution to journalArticle

Abstract

Custom designed rigid gas permeable lenses show promise for correcting the vision of subjects with significant higher order aberration beyond defocus (myopia and hyperopia) and astigmatism. Such aberrations could be coma, trefoil, spherical aberration, secondary astigmatism etc. Although, there exist several techniques for designing the central part of the front optic zone for subjects with significant higher order aberration, there does not exist a method for continuously differentiable interpolation of the corrected region and the rest of the front surface of the lens. This paper presents a method for C^1 interpolation based on the solution of the biharmonic equation with appropriate boundary conditions.
Original languageEnglish
Pages (from-to)167 - 178
JournalInternational Journal of Numerical Analysis and Modeling
StatePublished - Mar 2013

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