計算共形幾何（二）

Spring 2020

樂美亨

Course Information

課程名稱：計算共形幾何（二）
英文課名：Computational Conformal Geometry (II)
課程時間：週四 13:20～16:20
課程地點：數學館 M211 教室

Textbook

Computational Conformal Geometry, Xianfeng David Gu and Shing-Tung Yau, Higher Education Press (2008)

Course Topics

• Theories
• Differential Geometry (Chapter 5)
• Riemann Surface (Chapter 6)
• Optimal Mass Transportation


• Algorithms
• Harmonic and Conformal Mappings (Chapter 10)
• Harmonic and Holomorphic Froms (Chapter 11)
• Manifold Parameterizations


• Applications
• Manifold Registration
• 3D Image Visualization

Resources

• MATLAB程式設計《入門篇》


• MATLAB程式設計《進階篇》


• Tutorialspoint - MATLAB Tutorial


• File Exchange - MATLAB Central


• Octave Online


• Software - Xianfeng David Gu's Homepage

Application Demonstrations

▲Brain Tumor Visualization




▲Optimal Mass Transportation Path between Brains