1. Abstract Corneal refractive surgery is a promising technique to correct irregularities of cornea shape accompanying various types of aberration in eye ball system, and correction of refractive power for nearsightedness and farsightedness are fundamental application of refractive surgery. However there have been reported some risks such as over-/under-corrections, abnormal sight symptom like ...

This work is a survey on optimal control methods applied to shape optimization problems. The unknown character of the domain where the state system is defined creates major difficulties both for the theoretical analysis and for the implementation of the numerical approximation methods. The optimal control and the controllability methods for elliptic equations allow the development of approximat...

It is shown how multiple occurrences of a planar shape in a single plane or parallel planes can be used to extract information about their common orientation and to consequently deproject the image. This special case of shape-from-contour is coined "shape-from-copies". In particular, pseudoorthographic projections of planar contour segments related by a similarity are considered. Skewed rotatio...

Topology optimization searches for an optimal distribution of material and void without any restrictions on the structure of the design geometry. Shape optimization tunes the shape of the geometry, while the topology is fixed. In this paper we proceed sequentially with the optimal topology and shape design so that a coarsely optimized topology is the initial guess for the following shape optimi...