TY - JOUR
T1 - An Interpolation Method for Rigid Contact Lenses
AU - GLEN DALE PEARSON JR., RAM IYER, AND STEVEN MATHEWS
JO - International Journal of Numerical Analysis Modeling Series B
VL - 2
SP - 167
EP - 178
PY - 2013
DA - 2013/04
SN - 4
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnamb/251.html
KW - rigid contact lenses
KW - higher order aberration
KW - two dimensional cubic spline interpolation
KW - biharmonic equation
AB - 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.