学术活动
Minkowski problem for convex polytopes and its ramifications
2013-06-12
来源:科技处 点击次数:主讲人:罗峰 教授(美国罗格斯大学)
时 间:6月12日(周三)16:00-17:00
地 点:威尼斯欢乐娱人城1099北二区教学楼133教室
备 注:Abstract: The classical Minkowski problem tries to find convex polytopes whose unit normals and codimension-1 face areas are given. Minkowski solved the problem for compact case and Alexandrov solved it for non-compact case. We will address the algorithmic and computational aspect of constructing the compact convex polytopes using variational principles. Relationship to discrete optimal transport and discrete Monge-Ampere equation will be discussed. This is a joint work with David Gu, Jian Sun, and S.-T.Yau.