The problem of progressive lens design can be posed as a variational problem. The necessary condition is a fourth-order nonlinear elliptic partial differential equation. The partial differential equation can be linearized using a perturbation approach. A numerical method using a special type of splines, chosen for their smoothness properties, is devised to solve the resulting PDE. The computational method is shown to be both convergent and efficient.
|Original language||English (US)|
|Number of pages||22|
|Journal||Mathematical Models and Methods in Applied Sciences|
|State||Published - Apr 1 2004|
- Finite element method
- Progressive addition lens