Freeform surface of progressive addition lens represented by Zernike polynomials
At a Glance
Section titled āAt a Glanceā| Metadata | Details |
|---|---|
| Publication Date | 2016-10-28 |
| Journal | Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE |
| Authors | Yiyu Li, Risheng Xia, Jiaojie Chen, Haihua Feng, Yimin Yuan |
| Institutions | Wenzhou Medical University |
| Citations | 4 |
Abstract
Section titled āAbstractāWe used the explicit expression of Zernike polynomials in Cartesian coordinates to fit and describe the freeform surface of progressive addition lens (PAL). The derivatives of Zernike polynomials can easily be calculated from the explicit expression and used to calculate the principal curvatures of freeform surface based on differential geometry. The surface spherical power and surface astigmatism of the freeform surface were successfully derived from the principal curvatures. By comparing with the traditional analytical method, Zernike polynomials with order of 20 is sufficient to represent the freeform surface with nanometer accuracy if dense sampling of the original surface is achieved. Therefore, the data files which contain the massive sampling points of the freeform surface for the generation of the trajectory of diamond tool tip required by diamond machine for PAL manufacture can be simplified by using a few Zernike coefficients.
Tech Support
Section titled āTech SupportāOriginal Source
Section titled āOriginal SourceāReferences
Section titled āReferencesā- 2014 - Freeform manufacturing of a progressive addition lens by use of a voice coil fast tool servo
- 1989 - Progressive addition spectacle lens
- 1992 - Progressive addition spectacle lens