Title: Harmonic B-splines, Poisson Solverand Poisson Vector Graphics

Date: 10:00am – 11:30am. December 22, 2016

Venue: 310 room, Office building (行政楼310会议室)

Host: Prof. Zhang Caiming

Abstract: Solving Poisson equations playsan important role in various computer graphics tasks, such as imagecomposition, surface reconstruction, vector field design, just name a few.Traditional solvers, such as the finite element method (FEM), provide numericalsolutions only. In this project, we are interested in solving Poisson equationswith piecewise constant Laplacians. We show that this special type of Poissonequation has a closed-form solution, which are represented by harmonicB-splines. We demonstrate our closed-form solver on 2D/3D Poisson vectorgraphics, a new type of vector graphics that overcomes the limitations of theexisting first- and second-order diffusion curve images.

Bio: Ying He is currently anassociate professor at School of Computer Engineering, Nanyang TechnologicalUniversity, Singapore. He received the BS and MS degrees in electricalengineering from Tsinghua University, China, and the PhD degree in computerscience from Stony Brook University, USA. His research interests fall into thegeneral areas of visual computing and he is particularly interested in theproblems which require geometric analysis and computation.