A numerical method for progressive lens design

Jing Wang, Fadil Santosa

Research output: Contribution to journalArticlepeer-review

29 Scopus citations


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 languageEnglish (US)
Pages (from-to)619-640
Number of pages22
JournalMathematical Models and Methods in Applied Sciences
Issue number4
StatePublished - Apr 2004

Bibliographical note

Copyright 2008 Elsevier B.V., All rights reserved.


  • B-splines
  • Finite element method
  • Progressive addition lens


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