In addition to the Rowlee Lecture, there will be a conference on Recent Developments in Continuum Mechanics and PDEs held April 18-19, 2015.
Variational Methods in Materials and Image Processing
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 reduce 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.
About the Speaker
Irene Fonseca's research program sits at the interface between pure and applied analysis, and is motivated by applications in the physical sciences and engineering. Her recent work is focused on variational techniques as they apply to contemporary problems in materials sciences and computer vision, including the mathematical study of shape memory alloys, ferroelectric and magnetic materials, composites, liquid crystals, thin structures, phase transitions, epitaxy, image segmentation, staircasing and recolorization in computer vision.