报告题目：Volume-Preserving Parameterizations of Three-Manifolds
报告人：林文伟 教授
报告人单位：台湾交通大学
报告时间：2019年11月12日，上午11:00-12:00
报告地点：四牌楼逸夫建筑馆1502
报告摘要：
Manifold parameterizations have been applied to various fields of commercial industries.Several efficient algorithms for the computation of surface parameterizations have been proposed in the recent decade.However, the computation of volumetric mesh parameterizations is more challenging due to the fact that the number of mesh points would become enormously large when the higher resolution mesh is considered.
In this paper, we develop a novel energy minimization algorithm for volume-preserving parameterizations of simply connected three-manifolds with a single boundary.In addition, our algorithm can also be applied to compute spherical angle- and area-preserving parameterizations of genus zero closed surfaces, respectively.Several numerical experiments indicate that the proposed algorithms are more efficient and reliable than other existing algorithms.Applications of manifold partitions and mesh processing for 3D printing are demonstrated thereafter to show the robustness of the proposed algorithms.
报告人介绍：
林文伟教授于1987年获得德国Bielefeld大学应用数学博士。现任台湾交通大学应用数学系讲座教授，曾任台湾大学、台湾清华大学特聘讲座教授，其研究专长领域是科学计算、数值分析、动力系统、最佳控制等。林教授在SIAM系列刊物，J. Comp. Physics等国际知名学术期刊已发布学术论文140多篇，在矩阵方程的加倍保结构算法、大规模矩阵方程的求解方面做出了巨大的成绩。林教授曾担任台湾科学委员会数学学部评委主席、台湾理论科学研究中心数学组副主任、中心科学家、学术委员等，曾担任《台湾数学杂志》主编，2000-2009年担任Num. Lin. Alg. Appl.杂志编委，目前担任SIAM J. Matrix Analysis and Applications杂志编委。目前为东南大学客座教授，东南大学丘成桐中心“计算几何及其应用”研究方向负责人。