Variational frequencies – processing signals based on subgradient eigenvalue analysis
Guy Gilboa, Technion Institute
Recent studies of one-homogeneous convex functionals and their related nonlinear eigenvalue problems show surprising analogies to harmonic analysis based on classical transforms (e.g. Fourier). In this talk the total-variation transform will be introduced along with some theoretical results, such as conditions for orthogonality of the spectral components. Applications related to image decomposition, texture processing and face fusion will be shown.
New ways to compute 1-Laplacian eigenvectors on graphs, as well as a nonlinear spectral interpretation of gradient descent will also be discussed.