**Speaker:** 楊肅煜教授 (國立中央大學數學系)

**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.

**Date:** Friday, May 20, 2022

**Time:** 13:20-16:20

**Venue:** 線上

https://meet.google.com/ceg-xhxi-mde[1]