Computational Conformal Geometry

任课教师 Speaker:顾险峰
时间 Time: 每周六13:30-16:55,2019-5-18 ~ 7-6
地点 Venue:清华大学数学系理科楼112(5月18日)、近春园西楼三层报告厅(5月25-7月6日)

课程描述 Description

This course will cover the basic concepts and theorems in algebraic topology, Riemann surface, differential geometry and quasi-conformal geometry. The computational methods will be explained in details, including non-linear harmonic map, holomorphic differentials based on Hodge theory, discrete surface Ricci flow and so on. The applications in computer graphics, computer vision, deep learning, geometric modeling, wireless sensor networks, and medical imaging will be discussed in depth.

预备知识 Prerequisites

Linear algebra, multivariable calculus, algorithm, data structure

参考资料 References

Xianfeng Gu and Shing-Tung Yau. Computational Conformal Geometry, Series: Advanced Lectures in Mathematics, Vol 3, Publisher: International Press and Higher Education Press, ISBN 978-1-57146-171-1, 2007.