Mat-1.3656 Seminar on numerical analysis and computational science

Monday Nov 10, 2008, room U356 at 14.15, Eirola & Stenberg

Toni Lassila, TKK Mat & EPFL

Convex shape identification from a single interferogram

An inverse problem in low temperature physics asks to reconstruct a crys-
tal shape based on a single interferometer measurement. It is shown that
the inverse problem is uniquely solvable if the crystal shape is required to
be convex and its boundary is assumed to be known.
Numerical 1-d examples based on the gradient descent method for shape
optimization are presented. Some of the difficulties encountered when per-
forming variational optimization in the class of convex functions are dis-
cussed.