Seminar on Nonlinear Waves
Lefschetz Center for Dynamical Systems Seminar
Abstract: The purpose of the talk is to study Euler equations between two parallel plates at distance epsilon when epsilon goes to 0. Formally we get equations like hydrostatic equations. However, depending on the convexity of the horizontal velocity profile, the solutions of Euler equations may converge or not to solutions of these hydrostatic equations.
***New Information as of Monday, April 5, 1999***
Brown Applied Mathematics Pattern Theory and Vision Seminar
Abstract: Searching for universal characteristics of the microstructure of natural images, we analyze a large set of 3x3 patches randomly extracted from indoor and outdoor grey level scenes. The patches are grouped into natural equivalence classes (``patterns'') based on photometry, ``complexity'' and geometry. We analyze the stability of the pattern statistics over image sets, resolutions and grey scale distortions. Important aspects of the probability distribution of the patterns, e.g., the dominant masses, are stable in our experiments. We also compare the statistics of the natural patch world with those of artificially generated images; the results are consistent with recently proposed ``scaling laws''for the sizes of objects in natural images. These results suggest that well-chosen patch labels might serve as elementary features in pattern recognition and other imaging problems, and we discuss a computationally efficient way to carry this out using tree-structured vector quantization.
Brown Analysis Seminar
LEMS and Electrical Science Seminar
Abstract: Image-based rendering has become an important approach to rendering 3D scenes for virtual reality (VR) systems. In this talk, I will introduce a useful morphing technique, called the disparity-based view morphing, which we have been developing for image-based rendering since 1996. I will also show how this new technique has been applied to many VR-related applications such as seamless stitching of stereo panoramas, smooth transition between panoramic nodes, view interpolation for object movies, and generation of multi-viewpoint stereo videos.
Bio-Sketch: Yi-Ping Hung received his B.S. in electrical engineering from National Taiwan University in 1982. He received an M.S. from the Division of Engineering, an M.S. from the Division of Applied Mathematics, and a Ph.D. from the Division of Engineering, all at Brown University, in 1987, 1988 and 1990, respectively. He then joined the Institute of Information Science, Academia Sinica, Taiwan, and became a research fellow in 1997. He served as the deputy director of the Institute of Information Science from 1996 to 1997, and received the Outstanding Young Investigator Award of Academia Sinica in 1997. He has been teaching in the Department of Computer Science and Information Engineering at National Taiwan University since 1990, where he is now an adjunct professor. Dr. Hung has published more than 70 technical papers in the fields of computer vision, pattern recognition, image processing, and robotics. In addition to the above topics, his current research interests also include visual surveillance, virtual reality, human-computer interface, and visual communication.
PDE Seminar
Department of Mathematics Colloquium
<--- 1999 Index