A Study of Non-smooth Convex Flow Decomposition -- Denoising Tensors via Lie Group Flows -- Nonlinear Inverse Scale Space Methods for Image Restoration -- Towards PDE-Based Image Compression -- Color Image Deblurring with Impulsive Noise -- Using an Oriented PDE to Repair Image Textures -- Image Cartoon-Texture Decomposition and Feature Selection Using the Total Variation Regularized L 1 Functi…