Visualization of the Image Geometric Transformation Group Based on Riemannian Manifold
文献类型：期刊论文
| 作者 | Liu YP(刘云鹏)1,2,4,5 ; Liu TC(刘天赐)1,2,3,4,5; Shi ZL(史泽林)1,2,4,5
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| 刊名 | IEEE Access
 |
| 出版日期 | 2019 |
| 卷号 | 7页码:105531-105545 |
| 关键词 | Geometric transformation visualization motion group Riemannian manifold |
| ISSN号 | 2169-3536 |
| 产权排序 | 1 |
| 英文摘要 | Geometric transformations of images are the predominant factor, which influences the effectiveness of visual tracking and detection tasks in computer vision. Naturally, although it makes significant sense to grasp the process of image geometric transformations, the numerical relationship of geometric transformations cannot be revealed directly from images themselves. Even if the geometric transformation matrices form the three-dimensional special linear group, Sl(3,) group, it is difficult to comprehend the manifold of this invisible visual motion, which resides in the high-dimensional space. Furthermore, the main challenge is the deficiency of analytic expressions of the Riemannian logarithmic map to compute the geodesic distance on the Sl(3,) manifold. Facing these issues, this paper comes up with a novel approach to visualize the geometric transformation in images by presenting a new metric, and then, computes a set of coordinate-vectors in the three-dimensional state transition space for visualization using the Riemannian stress majorization. The superiority of the presented framework for visualization, in terms of accuracy and efficiency, is demonstrated through abundant experiments on aerial images and moving objects. |
| WOS关键词 | DIMENSIONALITY REDUCTION ; ALGORITHM |
| 资助项目 | Innovation Fund of Chinese Academy of Sciences[Y8K4160401] |
| WOS研究方向 | Computer Science ; Engineering ; Telecommunications |
| 语种 | 英语 |
| WOS记录号 | WOS:000481972100012 |
| 资助机构 | Innovation Fund of Chinese Academy of Sciences |
| 源URL | [http://ir.sia.cn/handle/173321/25511]  |
| 专题 | 沈阳自动化研究所_光电信息技术研究室 |
| 通讯作者 | Liu TC(刘天赐); Shi ZL(史泽林) |
| 作者单位 | 1.Key Laboratory of Image Understanding and Computer Vision, Shenyang 110016, China 2.Key Laboratory of Opto-Electronic Information Processing, Chinese Academy of Sciences, Shenyang 110016, China 3.University of Chinese Academy of Sciences, Beijing 100049, China 4.Institutes for Robotics and Intelligent Manufacturing, Chinese Academy of Sciences, Shenyang 110169, China 5.Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110016, China |
| 推荐引用方式 GB/T 7714 | Liu YP,Liu TC,Shi ZL. Visualization of the Image Geometric Transformation Group Based on Riemannian Manifold[J]. IEEE Access,2019,7:105531-105545. |
| APA | Liu YP,Liu TC,&Shi ZL.(2019).Visualization of the Image Geometric Transformation Group Based on Riemannian Manifold.IEEE Access,7,105531-105545. |
| MLA | Liu YP,et al."Visualization of the Image Geometric Transformation Group Based on Riemannian Manifold".IEEE Access 7(2019):105531-105545. |
入库方式： OAI收割
来源：沈阳自动化研究所
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