报告嘉宾2：Jing Hua (Wayne State University, MI , US)
报告题目：Spectral Geometry of Shapes
报告摘要： Shape analysis is a fundamental problem in many research fields such as computer graphics, computer vision, image analysis, robotics, and so on. The increasing 3D shape data demands a variety of shape analysis methods. Nevertheless, 3D shape analyses based on Euclidean transformations suffers many variance problems. This talk will present shape analysis approaches based on shape spectrum in differential geometry. The shape spectra contain the intrinsic geometry information of a shape and reveal the relationship across shapes, therefore, they are able to facilitate a variety of 3D shape analyses in a single uniform framework. We prove the shape spectrum is a continuous function to a scale function on the conformal factor of the manifold. The derivatives of the eigenvalues are analytically expressed with those of the scale function. The property extends the shape spectra across isometric and non-isometric deformations. This talk also demonstrates several exemplar applications of using the shape spectrum-based methods for solving real-world problems.
讲者简介：Dr. Jing Hua is a Full Professor of Computer Science and the founding director of Computer Graphics and Imaging Lab at Computer Science at Wayne State University (WSU). He received his Ph.D. degree (2004) in Computer Science from the State University of New York at Stony Brook. He received the Gaheon Award for the Best Paper of International Journal of CAD/CAM in 2009, the Best Paper Award at ACM Solid Modeling 2004, the WSU Faculty Research Award in 2005, the College of Liberal Arts and Sciences Excellence in Teaching Award in 2008, the K. C. Wong Research Award in 2010, and the Best Demo Awards at GENI Engineering Conference 21 (2014) and 23 (2015), respectively. His research is funded by the National Science Foundation, National Institutes of Health, and many other agencies. Dr. Hua serves as an Editorial Board Member for many journals as well as a Program Committee Member for many international conferences.
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