Abstract
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) |
|---|---|
| Pages (from-to) | 619-640 |
| Number of pages | 22 |
| Journal | Mathematical Models and Methods in Applied Sciences |
| Volume | 14 |
| Issue number | 4 |
| DOIs | |
| State | Published - Apr 2004 |
Bibliographical note
Copyright:Copyright 2008 Elsevier B.V., All rights reserved.
Keywords
- B-splines
- Finite element method
- Progressive addition lens