图 书 馆
一种新的黎曼三维物体形状分析框架A Novel Riemannian Framework for Shape Analysis of 3D Objects |
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| 课程网址: | http://videolectures.net/cvpr2010_kurtek_nrfs/ |
| 主讲教师: | Sebastian Kurtek |
| 开课单位: | 佛罗里达州立大学 |
| 开课时间: | 2010-07-19 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | In this paper we introduce a novel Riemannian framework for shape analysis of parameterized surfaces. We derive a distance function between any two surfaces that is invariant to rigid motion, global scaling, and reparametrization. It is the last part that presents the main difficulty. Our solution to this problem is twofold: (1) we define a special representation, called a q-map, to represent each surface, and (2) we develop a gradient-based algorithm to optimize over different re-parameterizations of a surface. The second step is akin to deforming the mesh on a fixed surface to optimize its placement. (This is different from the current methods that treat the given meshes as fixed.) Under the chosen representation, with the L2 metric, the action of the re-parametrization group is by isometries. This results in, to our knowledge, the first Riemannian distance between parameterized surfaces to have all the desired invariances. We demonstrate this framework with several examples using some toy shapes, and real data with anatomical structures, and cropped facial surfaces. We also successfully demonstrate clustering and classification of these objects under the proposed metric. |
| 关 键 词: | 黎曼框架; 形状分析; 距离函数 |
| 课程来源: | 视频讲座网 |
| 最后编审: | 2019-03-13：chenxin |
| 阅读次数: | 39 |