計算共形幾何（一）
Fall 2021
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：週一 13:20～16:20
課程地點：數學館 M210 教室
References
Computational Conformal Geometry, Xianfeng David Gu and Shing-Tung Yau,
Higher Education Press (2008)
Conformal Geometry - Computational Algorithms and Engineering Applications,
Miao Jin．Xianfeng Gu．Ying He．Yalin Wang, Springer (2018)
Course Topics
- Theory
- Discrete Differential Geometry
- Harmonic and Conformal Mappings
- Discrete Energy Minimization
- Algorithm
- Conformal Parameterizations
- Area-Preserving Parameterizations
- Volume-Preserving Parameterizations
- Application
- Surface Registration and Remeshing
- Surface Texture Mapping
- 3D Animation via 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。