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功能图:地图的灵活表示(带有应用程序)

Functional Maps: A Flexible Representation of Maps (with Applications)
课程网址: http://videolectures.net/solomon_ovsjanikov_maps/  
主讲教师: Maks Ovsjanikov
开课单位: 巴黎综合理工大学
开课时间: 2013-03-05
课程语种: 英语
中文简介:
在本次演讲中,我将讨论成对的3D形状对之间的地图表示(以三角形网格表示),该图概括了地图的标准概念以包括不一定是点对点的对应关系。这种表示形式很紧凑,但可以进行有效的推理(形状匹配),并且可以实现许多应用程序,包括代数图操作,例如计算地图总和和差异。此表示法的关键方面是,地图上的许多约束(包括地标对应关系,零件保留和操作员可交换性)都是线性的。特别是,这意味着形状匹配可以表述为简单的线性方程组。我将描述此表示形式的主要属性,并提供一些应用程序示例,其中包括改进现有的对应关系,在不建立点对点匹配的情况下进行分段传输以及有效的地图压缩和可视化。
课程简介: In this talk, I will discuss a representation of maps between pairs of 3D shapes (represented as triangle meshes) that generalizes of the standard notion of a map to include correspondences that are not necessarily point-to-point. This representation is compact, and yet allows for efficient inference (shape matching) and enables a number of applications, including algebraic map manipulation such as computing map sums and differences. The key aspect of this representation is that many constraints on a map, including landmark correspondences, part preservation and operator commutativity become linear. This means, in particular, that shape matching can be phrased as a simple linear system of equations. I will describe the main properties of this representation and give a few examples of applications that include improving existing correspondence, segmentation transfer without establishing point-to-point matches and efficient map compression and visualization.
关 键 词: 地图表示; 标准概念; 线性方程组
课程来源: 视频讲座网
最后编审: 2020-01-13:chenxin
阅读次数: 114