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Volume 4, Issue 2
An Interpolation Method for Rigid Contact Lenses

GLEN DALE PEARSON JR., RAM IYER, AND STEVEN MATHEWS

Int. J. Numer. Anal. Mod. B, 4 (2013), pp. 167-178

Published online: 2013-04

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  • 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.
  • Keywords

rigid contact lenses higher order aberration two dimensional cubic spline interpolation biharmonic equation

  • AMS Subject Headings

35R35 49J40 60G40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAMB-4-167, author = {GLEN DALE PEARSON JR., RAM IYER, AND STEVEN MATHEWS}, title = {An Interpolation Method for Rigid Contact Lenses}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2013}, volume = {4}, number = {2}, pages = {167--178}, 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.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/251.html} }
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.
GLEN DALE PEARSON JR., RAM IYER, AND STEVEN MATHEWS. (1970). An Interpolation Method for Rigid Contact Lenses. International Journal of Numerical Analysis Modeling Series B. 4 (2). 167-178. doi:
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