报 告 人：李铁香 教授
报告题目：计算共形几何及应用
报告时间：2022年3月11日（周五）下午3:00-5:00
报告地点：腾讯会议（会议ID：833553674）
主办单位：数学与统计学院、科学技术研究院
报告人简介：
李铁香，东南大学教授，博士研究生导师，东南大学丘成桐中心主任助理，南京应用数学中心主任助理。目前已经在 SIIMS、SIMAX、CPC、JCP、Inverse Problems等国际学术刊物发表学术论文50余篇，主持三项国家自然科学基金委面上项目、以及国防创新特区项目等。
报告摘要：
Manifold parameterization is one of the fundamental operations in computer graphics and has been widely used in digital geometry processing tasks. Combined with it, computational optimal mass transport (OMT) has gradually become a hot spot in the field of artificial intelligence in recent years, especially in medical imaging and other aspects. In this work, we develop a series of novel algorithms for computing spherical angle-preserving, spherical area-preserving, volumepreserving parameterizations of genus zero closed surfaces, respectively. We further develop area- and volume measure-preserving OMT algorithms for finding the optimal maps to transform an irregular 3D image into a regular 3D canonical domain, such as a ball, an ellipsoid, a cube or a cuboid, such that the transport cost is minimized and the local
mass ratios preserved. Applications of manifold partitions and data preprocessing for 3D brain tumor segmentation and surface registration are demonstrated thereafter to show the robustness of the proposed algorithms.
邀请人：贾志刚教授