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MEEM Seminar 0809_011

A Biorthogonal Wavelet Approach Based on Dual Subdivision

Abstract

A biorthogonal wavelet approach based on dual subdivision is presented in this talk. Unlike primal subdivision schemes, all the old control vertices in the dual subdivision like Doo-Sabin scheme disappear after one subdivision step. This is a challenge to the biorthogonal wavelet construction for multiresolution subdivision surface modeling. In our approach, the barycenters of the V-faces corresponding to the old vertices of Doo-Sabin subdivision are selected as the vertices associated with the scaling functions to construct the scaling space. The lifting scheme is used to guarantee the fitting quality of the wavelet transform based on Doo-Sabin subdivision, and a local orthogonalization is introduced with a discrete inner product operation to improve the computation efficiency. Sharp-feature modeling based on the extended Doo-Sabin subdivision rules is also discussed. Some application examples for noise filtering, progressive transmission and multiresolution analysis with sharp features are also presented during the talk. The proposed wavelet construction is proven to be stable and effective following the experimental results obtained so far through the research.

Event:	MEEM Seminar 0809_011
Date:	03 September 2008 (Wednesday)
Time:	11:00am (Tea reception at 10:30am)
Venue:	B6619 (MEEM Conference Room) City University of Hong Kong
Speaker:	Professor Kaihuai Qin Department of Computer Science and Technology (Tsinghua University, P.R.China)

About the Speaker

Dr. Kaihuai QIN is a professor of computer science and technology at Tsinghua University, Beijing. He is at present also an adjunct professor of computer science at Shenyang Institute of Aeronautical Engineering, Liaoning Province, China. Dr. Qin has been a faculty member at Tsinghua University since 1992. He also visited the SPL at BWH, Harvard Medical School, Harvard University, Boston, in 1999-2000 and several universities in Hong Kong many times from 1996-present. His current research interests include computer graphics and animation, GPU-based real-time rendering, multi-projector tiled display, computer-aided geometric design, wavelets, image processing and visualization, virtual reality and CAD/CAM.

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