Application de l'optimisation numérique au design de lentilles progressives

  • Katia Demaseure

    Student thesis: Master typesMaster in Mathematics

    Abstract

    Progressive Addition Lenses (PAL) are lenses with different ophtalmic powers in different zones of the lens which depend on the sight type used. The PAL are a new generation of lenses, more convenient for the long-sighted user and then more efficient than the bifocals. Usually ophtalmic lenses have close formulae to describe the lens surface as spheres or conic surfaces for example. Unfortunately it is not the case for the PAL : it is necessary to model the optic surface, to impose some conditions and try to find the "best surface", which leads to a broad choice of large-scale non linear optimization problems. The different themes such as optic geometric, differential geometry and B-Spline interpolation scheme involved by the PAL will be presented. In the end of this work, the solution search of the unconstrained formulation by the package LANCELOT, created in 1990 by Conn, Gould and Toint, will be developed.
    Date of Award2000
    Original languageFrench
    SupervisorAnnick Sartenaer (Co-Supervisor) & Philippe TOINT (Supervisor)

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