内容

学术讲座:计算共形几何

阅读数:1663    发布:2017-12-20 10:24    

时间:2017年12月21日 10:00-11:30

地点:计算机与软件学院938会议室

报告摘要:

计算共形几何是一门新兴的跨领域学科,结合了纯粹数学领域中的微分几何、代数拓扑、黎曼面理论、代数几何、偏微分方程和计算机科学,将现代拓扑和几何理论转化成算法,广泛应用于工程和医疗等领域。

相比于黎曼几何、代数拓扑,共形几何研究曲面在共形变换下的不变量,更适合用于研究曲面之间的映射、几何分类和形状分析。这里我们简介共形几何的基本概念,主要理论,核心算法,包括非线性调和映照、全纯微分形式和曲面黎奇流方法。

计算共形几何已经在很多工程和医疗领域得到广泛应用,包括计算机图形学中的曲面全局参数化,计算机视觉领域中的曲面配准、表情捕捉、几何分类,几何建模中的网格生成、流形样条,无线传感器网络路由,智能制造中的超材料设计,医学图像中的虚拟肠镜等等。

主讲人介绍:

顾险峰博士于清华大学计算机系获得计算机科学与技术学士学位,哈佛大学计算机科学硕士和博士学位,师从国际著名微分几何大师丘成桐院士,现于纽约州立大学石溪分校计算机科学系和应用数学系终身教授,清华大学丘成桐数学科学中心客座教授,大连理工大学海天学者,首都师范大学数字几何和成像实验室主任等。顾博士曾于2005年获得美国国家自然科学基金CAREER奖,2006年获得中国国家自然科学基金海外杰出青年学者奖,2013年获得 “华人菲尔兹奖”,第六届世界华人数学家大会晨兴应用数学金奖等。

顾险峰教授和丘成桐先生,及其合作者共同创立了一门新兴的跨领域学科:计算共形几何。这门学科结合了现代几何和计算机科学,广泛应用于计算机图形学,计算机视觉,可视化,几何建模,网络和医学图像等领域。顾博士在数学,工程和医学领域的国际顶级杂志和会议发表论文270多篇。顾博士担任国际期刊《Graphical Models》,《IEEE Transaction on Computer Graphics and Visualizatiaon》的编辑和《Geometry,Imaging and Computation》的主编。其主要著作有《计算共形几何》、《离散曲面的变分原理》和《Ricci Flow for Shape Analysis and Surface Registration》等。顾博士获得多项国际专利, 其中虚拟肠镜专利以百万美元专利费转让给西门子和GE公司。

Dr. Xiangfeng David Gu got his B.S. from Computer Science Department of Tsinghua University in 1994, PhD from Division of Engineering and Applied Science of Harvard University in 2002, supervised by a Fields medalist: Prof. Shing-Tung Yau. Dr. Gu is a tenured professor in Computer Science Department and Applied Mathematics Department of State University of New York at Stony brook. 

Dr. Gu won US NSF Career award in 2005, Chinese NSF outstanding offsea scholoar award in 2006, Morningside Gold medal in applied mathematics in the 6th International Congress of Chinese Mathematician 2013. 

Dr. Gu and Prof.Yau founded an emerging interdisciplinary field: computational conformal geometry, which applies modern geometry in engineering and medicine fields. He has published more than 270 articles in top level journals and conferences in graphics, vision, visualization, medical imaging and networking fields; three monographs in mathematics and computer science. He has obtained several international patents, some of them have been licensed to Simens and GE.

Dr. Gu has long term collaborations with scholars in China. He is a visiting professor in Mathematics Science Center, Tsinghua university in the last 10 years; sea-sky scholar in Dalian University of Technology in the last 6 years. He has severed as the editor of several international journals, including “Graphical Models” and “Geometry, Imaging and Computation”. Dr. Gu has served on the program committees of SIGGRAPH Asia, Pacific Graphics, IEEE Vis, CVPR, ICCV and many conferences in the past years. Dr. Gu has hosted visiting scholars/students from China during the last 12 years, and gave summer courses in Tsinghua and other universities from 2005, more than 1200 Chinese students have taken his courses on computational conformal geometry.

深圳大学计算机与软件学院 2009-2016