Visualization of the Geometric Transformation Group Based on the Riemannian Metric
文献类型：会议论文
| 作者 | Liu TC(刘天赐); Shi ZL(史泽林) ; Liu YP(刘云鹏); Li CX(李晨曦)
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| 出版日期 | 2016 |
| 会议名称 | 2016 3rd International Conference on Systems and Informatics (ICSAI 2016) |
| 会议日期 | November 19-21, 2016 |
| 会议地点 | Shanghai, China |
| 关键词 | Riemannian manifold projective transformation group MDS visualization Riemannian metric |
| 页码 | 930-935 |
| 通讯作者 | 刘天赐 |
| 中文摘要 | Manifolds of visual motions lying in the high dimensional space are hard to comprehend and invisible. Facing this issue, we propose a novel method to visualize geometric transformations in images, where the projective transformations of SL(3) group are visualized based on multidimensional scaling(MDS). Based on the fact that the distance metric on SL(3) group doesn’t have a closed form to compute, so we present a new approach to solve this problem. As a result, we compute a set of coordinate-vectors in the three dimensional state transition space that retains the given pattern of proximity in the high dimensional parameter space as much as possible for purpose of visualization. We test our methodology on synthetic images and real images respectively, getting convincing results in all cases. |
| 收录类别 | EI ; CPCI（ISTP） |
| 产权排序 | 1 |
| 会议录 | Proceedings of 2016 3rd International Conference on Systems and Informatics (ICSAI 2016)
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| 会议录出版者 | IEEE |
| 会议录出版地 | New York |
| 语种 | 英语 |
| ISBN号 | 978-1-5090-5521-0 |
| WOS记录号 | WOS:000400697600166 |
| 源URL | [http://ir.sia.cn/handle/173321/19480]  |
| 专题 | 沈阳自动化研究所_光电信息技术研究室 |
| 推荐引用方式 GB/T 7714 | Liu TC,Shi ZL,Liu YP,et al. Visualization of the Geometric Transformation Group Based on the Riemannian Metric[C]. 见:2016 3rd International Conference on Systems and Informatics (ICSAI 2016). Shanghai, China. November 19-21, 2016. |
入库方式： OAI收割
来源：沈阳自动化研究所
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