报告时间: 2018年7月15日 9:00am – 11:30am.
Title: Harmonic B-splines and Random-Access Poisson Solver
Abstract: Harmonic B-splines are defined by Green's functions of the Laplace-Beltrami operator. Like the basis functions of conventional B-splines, they are (approximately) local and non-negative and satisfy partition of unity. Moreover, harmonic B-splines afford progressive update of fully irregular knots, free of degeneracy, without the need of explicit parameterization, making it ideal for a host of many graphics tasks on $R^2$ and 2-manifolds. In this talk, I will first show case several 3D applications of harmonic B-splines, such as data fitting/interpolation and hierarchical decomposition. Then I will introduce a new Poisson solver that supports random-access evaluation. Finally, I will apply the Poisson solver to Poisson vector graphics and demonstrate its potential for authoring and vectorization.
Bio of speaker: Ying He is currently an associate professor at School of Computer Engineering, Nanyang Technological University, Singapore. He received the BS and MS degrees in electrical engineering from Tsinghua University, China, and the PhD degree in computer science from Stony Brook University, USA. His research interests fall into the general areas of visual computing and he is particularly interested in the problems which require geometric analysis and computation.