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Visualization of the Geometric Transformation Group Based on the Riemannian Metric
Liu TC(刘天赐); Shi ZL(史泽林); Liu YP(刘云鹏); Li CX(李晨曦)
作者部门光电信息技术研究室
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
会议录名称Proceedings of 2016 3rd International Conference on Systems and Informatics (ICSAI 2016)
出版者IEEE
出版地New York
2016
页码930-935
收录类别EI ; CPCI(ISTP)
EI收录号20171203462585
WOS记录号WOS:000400697600166
产权排序1
ISBN号978-1-5090-5521-0
关键词Riemannian Manifold Projective Transformation Group Mds Visualization Riemannian Metric
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.
语种英语
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文献类型会议论文
条目标识符http://ir.sia.cn/handle/173321/19480
专题光电信息技术研究室
通讯作者Liu TC(刘天赐)
作者单位Key Laboratory of Optical-Electronics Information Processing, Shenyang Institute of Automation, Chinese Academy of Sciences, University of Chinese Academy of Sciences, Shenyang, China
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]. New York:IEEE,2016:930-935.
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