Irene Fonseca: Variational Methods in Materials and Image Processing

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Title:  Variational Methods in Materials and Image Processing

Time: Wed 2014-09-03 15.15 - 16.15

Lecturer: Irene Fonseca, Carnegie Mellon Univ.

Location: Lecture hall Oskar Klein, Alba Nova

Schedule

15:15-16:15 Colloquium lecture by Irene Fonseca (Room Oskar Klein, Albanova)

16:15-17:00 SMC social get together with refreshments

Abstract

Several questions in applied analysis motivated by issues in computer vision, physics, materials sciences and other areas of engineering may be treated variationally leading to higher order problems and to models involving lower dimension density measures. Their study often requires state-of-the-art techniques, new ideas, and the introduction of innovative  tools in partial differential equations, geometric measure theory, and the calculus of variations.

In this talk it will be shown how some of these questions may be reduced to well understood first order problems, while in others higher order terms play a fundamental role.

Applications to quantum dots in epitaxy deposition, and recolorization and denoising in imaging science will be addressed.