A numerical method for progressive lens design

Jing Wang, Fadil Santosa

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

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 languageEnglish (US)
Pages (from-to)619-640
Number of pages22
JournalMathematical Models and Methods in Applied Sciences
Volume14
Issue number4
DOIs
StatePublished - Apr 2004

Bibliographical note

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

Keywords

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

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