图 书 馆
定向二维歧管轮廓的稳定性The Stability of the Contour of an Orientable 2-Manifold |
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| 课程网址: | http://videolectures.net/mlss09us_edelsbrunner_sco2m/ |
| 主讲教师: | Herbert Edelsbrunner |
| 开课单位: | 杜克大学 |
| 开课时间: | 2009-07-30 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | Think of the view of the boundary of a solid shape as a projection of a 2-manifold to R^2. Its apparent contour is the projection of the critical points. Generalizing the projection to smooth mappings of a 2-manifold to R^2, we get the contour as the image of the points at which the derivative is not surjective. Measuring difference with the erosion distance (the Hausdorff distance between the complements), we prove that the contour is stable. Along the way, we introduce the by now well established method of persistent homology, including the stability of its diagrams, as well as an extension using zigzag modules. Joint work with Dmitriy Morozov and Amit Patel. |
| 关 键 词: | 计算机科学; 机器学习; 歧管学习 |
| 课程来源: | 视频讲座网 |
| 最后编审: | 2019-11-13：lxf |
| 阅读次数: | 48 |