MA3113: TOPICS IN MATHEMATICAL IMAGE PROCESSING I, Spring 2025

　

　

Instructor: Profs. Ching-Hsiao Cheng/Suh-Yuh Yang (楊肅煜)

Office Hours: Tuesday 10:00~12:00 am or by appointment. 

　

Teaching Assistant: 廖育暄/E-mail: yuhsuan2023@g.ncu.edu.tw

　

Prerequisites: MA3111 and some knowledge of Matlab: https://portal.ncu.edu.tw/      

　

Textbook: No textbook, but we will provide some slides and journal papers. Below are some references:

  • [AK2002] G. Aubert and P. Kornprobst, Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations, Second Edition, Springer Verlag, New York, 2002.

  • [CS2005] T. F. Chan and J. Shen, Image Processing and Analysis: Variational, PDE, Wavelet, and Stochastic Methods, Society for Industrial and Applied Mathematics, Philadelphia, 2005.

  • [TUM2019] D. Cremers, Computer Vision I: Variational Methods, Online Resources, Departments of Informatics & Mathematics, Technical University of Munich, Germany, 2019/2020. https://vision.in.tum.de/teaching/online/cvvm

  • [GW2018] R. C. Gonzalez and R. E. Woods, Digital Image Processing, Fourth Edition, Pearson Education Limited, New York, 2018.

Course Objective: This is a companion course of the「MA3111 An Introduction to Mathematical Image Processing.」We will continue to introduce advanced mathematical techniques for image processing based on partial differential equations and variational methods. This course emphasizes practical implementation and computer simulations. In addition, every student must complete a research project on image processing and make several presentations.

　

General Information: This course will cover the following topics

  • Advanced topics in variational methods for image processing.

  • Sparse representation and dictionary learning with applications to image processing.

  • Basics of wavelet analysis and applications in image processing.

Course Transparency Set: (in PDF)

Grading Policy: oral presentations (20%)×3, a poster of project results (30%), and others 10% (學期總成績)

 Last updated: February 14, 2025