计算与应用数学拔尖博士生系列论坛——Solving Partial Differential Equation On Point Cloud

发文时间:2018-11-23

Speaker(s):Yiping Lu(Peking University)

Time:2018-11-23 12:00-13:30

Venue:Room 1560. Sciences Building No. 1

12:00-12:30 lunch12:30-13:30 Talk

 

Abstract: Solving partial differential equation on manifold have many applications in geometry data

processing, image processing, graphics and machine learning. In this talk I will mainly focus on the point

cloud, a data structure that representing a manifold by a set of data points in space. First I will briefly

review several different methods to solve differential equations on point clouds with theoretical

guarantee. Then I will introduce our recent on going work to utilize the relationship between sparse

representation and PDE to solve PDEs on manifold.

 

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