Abstract: I will present work concerning applications of variational problems with a geometric flavor to regularization of inverse problems, image processing, shape analysis and viscoplastic fluids. Many of these center around functionals involving the total variation of scalar functions, which through the coarea formula allows to consider level sets of solutions as generalized surfaces of prescribed mean curvature. A second important theme are models for finding large deformations between shapes, also given as level sets but known a priori, by using polyconvex energies inspired in nonlinear elasticity of thin shells.
zoom.us/j/91803594668
Meeting ID: 918 0359 4668
Passcode: SP1SpW