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表面和3流形的离散曲率流

Discrete Curvature Flow for Surfaces and 3-Manifolds
课程网址: http://videolectures.net/etvc08_yin_dcffs/  
主讲教师: Xiaotian Yin
开课单位: 石溪大学
开课时间: 2008-12-05
课程语种: 英语
中文简介:
本讲座介绍了具有任意拓扑的曲面的离散曲率流的概念,理论和算法。还解释了具有测地边界的双曲3流形的离散曲率流。曲率流方法可用于通过规定的曲率设计黎曼度量,并应用于图形中的参数化,医学成像中的视觉和脑映射中的形状配准和比较,计算机辅助几何设计中的样条构造以及许多其他工程领域。
课程简介: This talk introduce the concepts, theories and algorithms for discrete curvature flows for surfaces with arbitrary topologies. Discrete curvature flow for hyperbolic 3-manifolds with geodesic boundaries are also explained. Curvature flow method can be used to design Riemannian metrics by prescribed curvatures, and applied for parameterization in graphics, shape registration and comparison in vision and brain mapping in medical imaging, spline construction in computer aided geometric design, and many other engineering fields.
关 键 词: 拓扑; 离散曲率流; 测地边界
课程来源: 视频讲座网
最后编审: 2019-04-14:lxf
阅读次数: 65