Differential Equations and Numerical Analysis Seminar - 27/06/2012

Wednesday, 27 June 2012, 12:00 p.m.

Lecturer: Nicolas Van Goethem, CMAF - Universidade de Lisboa

Title: "Topology optimization and image classification with gradient-free perimeter approximation".

Local: Room 1.7, Edifício VII
Faculdade de Ciências e Tecnologia, Quinta da Torre, Caparica

Abstract: In a first part, I will propose a new  family of smooth perimeter approximating functionals designed to be incorporated within topology optimization algorithms.
$\Gamma$-convergence and the compactness of sequences of minimizers, are first shown.
Then we propose several methods for the solution of topology optimization problems with perimeter penalization.
In a second part this method is applied to multilabel image classification problems. Possibly noisy and blurred greyscale and color images are processed, with or without automatic update of the labels. References on the talk can be found:

1) S. Amstutz, N. Van Goethem, Topology optimization methods with gradient-free perimeter approximation (hall preprint: hal-00614818, version 1,16 Aug. 2011)
2)  S. Amstutz, A. Novotny, N. Van Goethem, Minimal partitions and image classification using a gradient-free perimeter approximation (hall preprint: hal-00690011, version 1, version 1,20 Apr. 2012)