Title: A Mini-Course on Mathematical Image Processing
Abstract: Lecture 1: Rudin-Osher-Fatemi total variation model for image denoising
In this lecture, we will give a brief introduction to the following topics: (1) The ROF total-variation model for image denoising; (2) Calculus of variations and the Euler-Lagrange equation; (3) A finite difference scheme for solving the ROF model; (4) The split Bregman iterative scheme for solving the ROF model.
Lecture 2: A level set approach to the Chan-Vese model for image segmentation
In this lecture, we will give a brief introduction to the following topics: (1) The Mumford-Shah model and the Chan-Vese model; (2) Level set formulation of the two-phase Chan-Vese model; (3) A finite difference scheme for solving the two-phase Chan-Vese model; (4) The iterative convolution-thresholding scheme.