課程名稱 |
影像處理 Image Processing |
開課學期 |
102-2 |
授課對象 |
理學院 數學研究所 |
授課教師 |
陳宜良 |
課號 |
MATH5408 |
課程識別碼 |
221 U5570 |
班次 |
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學分 |
3 |
全/半年 |
半年 |
必/選修 |
選修 |
上課時間 |
星期五2,3,4(9:10~12:10) |
上課地點 |
天數304 |
備註 |
總人數上限:20人 |
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1022MATH5408_ |
課程簡介影片 |
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核心能力關聯 |
本課程尚未建立核心能力關連 |
課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
Image processing is important in medical sciences such as computed tomography
(CT), magnetic resonance imaging (MRI), positron emission tomography (PET),
etc. It is also commonly seen in earth sciences, astrophysics, entertainment en-
gineering, etc. This subject is a fast growing eld in applied mathematics. The
SIAM has a new journal (Journal on Image Sciences) on this subject. Especially
the sparse representation and compressive sensing have attracted much attention
in recent years. In this course, I will mainly cover the following topics
1. Introduction: statistical approach, variational approach.
2. Some modern image analysis tools
3. Image modeling and representation
4. Image denoising
5. Image deblurring
6. Image inpainting
7. Image segmentation
8. Numerical optimization
9. Compressed sensing |
課程目標 |
1. To provide techniques for image modeling and medical imaging
2. To provide mathematical background for image analysis and restoration.
3. To have computational experience on handling real data.
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課程要求 |
Linear Algebra, Advanced Calculus, some probability and statistics, Intro-
duction to Computational Mathematics, Matlab or C Programming Language.
Grading policy:
1. Four projects and one oral presentation, 20% for each. |
預期每週課後學習時數 |
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Office Hours |
備註: Friday: 2:30-3:30 |
指定閱讀 |
待補 |
參考書目 |
1. Tony F. Chan and Jianhong Jackie Shen, Image Processing and Analysis:
Variational, PDE, Wavelet, and Stochastic Methods, SIAM, 2005 |
評量方式 (僅供參考) |
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週次 |
日期 |
單元主題 |
第1週 |
2/21 |
Introduction |
第2週 |
2/28 |
Lecture 1 |
第3週 |
3/07 |
Lecture 2 |
第4週 |
3/14 |
Lecture 3 |
第5週 |
3/21 |
FFT |
第6週 |
3/28 |
Lecture 4 |
第7週 |
4/04 |
Statistics |
第8週 |
4/11 |
statis.pdf updated |
第10週 |
4/25 |
da2010 wavelets |
第15週 |
5/30 |
tight frame |
第17週 |
6/13 |
Vandenberghe's note from UCLA |
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