| Visualization of the Image Geometric Transformation Group Based on Riemannian Manifold | |
Liu TC(刘天赐)1,2,3,4,5 ; Shi ZL(史泽林)1,2,4,5; Liu YP(刘云鹏)1,2,4,5
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| Department | 光电信息技术研究室 |
| Source Publication | IEEE Access
 |
| ISSN | 2169-3536 |
| 2019 | |
| Volume | 7Pages:105531-105545 |
| Indexed By | SCI ; EI |
| EI Accession number | 20193507363977 |
| WOS ID | WOS:000481972100012 |
| Contribution Rank | 1 |
| Funding Organization | Innovation Fund of Chinese Academy of Sciences |
| Keyword | Geometric transformation visualization motion group Riemannian manifold |
| Abstract | 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. |
| Language | 英语 |
| WOS Subject | Computer Science, Information Systems ; Engineering, Electrical & Electronic ; Telecommunications |
| WOS Keyword | DIMENSIONALITY REDUCTION ; ALGORITHM |
| WOS Research Area | Computer Science ; Engineering ; Telecommunications |
| Funding Project | Innovation Fund of Chinese Academy of Sciences[Y8K4160401] ; Innovation Fund of Chinese Academy of Sciences[Y8K4160401] |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.sia.cn/handle/173321/25511 |
| Collection | 光电信息技术研究室 |
| Corresponding Author | Liu TC(刘天赐); Shi ZL(史泽林) |
| Affiliation | 1.Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110016, China 2.Institutes for Robotics and Intelligent Manufacturing, Chinese Academy of Sciences, Shenyang 110169, China 3.University of Chinese Academy of Sciences, Beijing 100049, China 4.Key Laboratory of Opto-Electronic Information Processing, Chinese Academy of Sciences, Shenyang 110016, China 5.Key Laboratory of Image Understanding and Computer Vision, Shenyang 110016, China |
| Recommended Citation GB/T 7714 | Liu TC,Shi ZL,Liu YP. Visualization of the Image Geometric Transformation Group Based on Riemannian Manifold[J]. IEEE Access,2019,7:105531-105545. |
| APA | Liu TC,Shi ZL,&Liu YP.(2019).Visualization of the Image Geometric Transformation Group Based on Riemannian Manifold.IEEE Access,7,105531-105545. |
| MLA | Liu TC,et al."Visualization of the Image Geometric Transformation Group Based on Riemannian Manifold".IEEE Access 7(2019):105531-105545. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| Visualization of the（2344KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Application Full Text | |
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