Program
Computational Conformal Geometry
Student No.:50
Time:Tue/Thu 15:10-17:00, 2015-07-07 ~ 2015-08-25
Instructor:Xianfeng David Gu  [State University of New York at Stony Brook]
Place:Conference Room 3, Floor 2, Jin Chun Yuan West Building
Starting Date:2015-7-7
Ending Date:2015-8-25
 
Description:
 
Computational conformal geometry is an interdisciplinary field, which combines algebraic topology, differential geometry, Riemann surface theory, harmonic analysis and Teichmuller space theory with computer science. It has been applied broadly in many fields in engineering and medicine.
 
This course will cover theories, computational algorithms and applications in computational conformal geometry, including geometric approximation theory, discrete Hodge theory, discrete surface uniformization theory based on Ricci flow and optimal mass transportation theory. The course emphasizes on both theoretical deduction and algorithmic implementation.
 
 
Prerequisite:
 
Linear algebra, Calculus, partial differential equation, algorithm and data structure
 
 
Reference:
 
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.
Wei Zeng, Xianfeng Gu, Ricci Flow for Shape Analysis and Surface Registration -
Theories, Algorithms and Applications, Springer, 2012.