計算共形幾何（一）
Fall 2019
樂美亨
Course Information
課程名稱：計算共形幾何（一）
英文課名：Computational Conformal Geometry (I)
課程時間：週四 13:20～16:20
課程地點：數學館 M310 教室
Textbook
Computational Conformal Geometry, Xianfeng David Gu and Shing-Tung Yau,
Higher Education Press (2008)
Course Topics
- Theories
- Topological Surface Classification (Chapter 2)
- Homotopy Groups (Chapter 2)
- Simplicial Homology and Cohomology (Chapter 3)
- Algorithms
- Topological Algorithms (Chapter 9)
- Harmonic and Conformal Mappings (Chapter 10)
- Applications: 3D Animation
- Surface Remeshing
- Surface Registration
- Surface Morphing
Resources
Application Demo: 3D Animation
▲透過參數化，將四張影像串成一個動畫。
▲透過參數化，實現納美人的膚色特效。