計算共形幾何（一）

Fall 2023

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：週五 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


• Application
• Surface Registration and Remeshing
• Surface Texture Mapping
• 3D Animation via Surface Morphing

Resources

• Tutorialspoint - MATLAB Tutorial


• File Exchange - MATLAB Central


• Octave Online

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。