Brown University School of Engineering

"Computational Conformal/Quasi-conformal geometry and applications"

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Tuesday, May 07, 2013 12:00pm - 1:00pm

Ronald Lok Ming Lui, The Chinese University of Hong Kong. Seminar: Tuesday, May 7, 2013 at noon Barus and Holley Building, Room 190 Computational Conformal/Quasi-conformal geometry and applications With the rapid development of 3D digital scanning technology, the demand for effective geometric processing and shape analysis is ever increasing. Computational conformal / quasi-conformal geometry plays an important role for these purposes. Applications can be found in different areas such as medical imaging, computer visions and computer graphics.

In this talk, I will give an overview on how conformal and quasi-conformal maps can be computed and applied to practical applications. I will firstly introduce the applications of conformal geometry in medical imaging and computer graphics. Examples include brain parameterization and texture mapping. In real situation, most surface mappings involve non-conformal distortions. A more general theories are required to study the mappings. A natural generalization of conformal mapping is quasiconformal mapping, where the mapping is allowed to have bounded conformality distortions. In the second part of my talk, theories of quasicoformal geometry and its applications will be presented. In particular, I will talk about how quasi-conformal geometry can be used for registration of biological surfaces, shape analysis, medical morphometry and the compression of surface diffeomorphism. Host: Professor Gabriel Taubin Bio: Dr. Ronald Lok Ming Lui is an Assistant Professor in the Math department of The Chinese University of Hong Kong (CUHK). He got his PhD in Applied Mathematics at UCLA Math department in June, 2008, under the supervision of Prof. Tony F. Chan. Before joining CUHK, he worked as a Postdoctoral Scholar for 2 years at Harvard Math department, hosted by Prof. Shing-Tung Yau.