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FOE estimation: Can image measurement errors be totally "corrected" by the geometric method?
Wu, F. C.; Wang, L.; Hu, Z. Y.
2007-07-01
发表期刊PATTERN RECOGNITION
卷号40期号:7页码:1971-1980
文章类型Article
摘要For the FOE estimation, there are basically three kinds of estimation methods in the literature: algebraic, geometric, and the maximum likelihood-based ones. In this paper, our attention is focused on the geometric method. The computational complexity of the classical geometric method is usually very high because it needs to solve a non-linear minimum problem with many variables. In this work, such a minimum problem is converted into an equivalent one with only two variables and accordingly a simplified geometric method is proposed. Based on the equivalence of the classical geometric method and the proposed simplified geometric method, we show that the measurement errors can at most be "corrected" only in one of the two images by geometric methods. In other words, it is impossible to correct the measurement errors in both of the two images. In addition, we show that the "corrected" corresponding pairs by geometric methods cannot in general meet some of the inherent constraints of corresponding pairs under pure camera translations. Hence, it is not proper to consider the "corrected" corresponding pairs as "faithful" corresponding pairs in geometric methods, and the estimated FOE from such pairs is not necessarily trustworthier. Finally, a new geometric algorithm, which automatically enforces the inherent constraints, is proposed in this work, and better FOE estimation and more faithful corresponding pairs are obtained. (c) 2006 Pattern Recognition Society. Published by Elsevier Ltd. All rights reserved.
关键词Foe Estimation Geometric Method Inherent Constraint
WOS标题词Science & Technology ; Technology
关键词[WOS]EPIPOLAR GEOMETRY ; ALGORITHM ; MOTION
收录类别SCI
语种英语
WOS研究方向Computer Science ; Engineering
WOS类目Computer Science, Artificial Intelligence ; Engineering, Electrical & Electronic
WOS记录号WOS:000246332300010
引用统计
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/9409
专题09年以前成果
作者单位Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100080, Peoples R China
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GB/T 7714
Wu, F. C.,Wang, L.,Hu, Z. Y.. FOE estimation: Can image measurement errors be totally "corrected" by the geometric method?[J]. PATTERN RECOGNITION,2007,40(7):1971-1980.
APA Wu, F. C.,Wang, L.,&Hu, Z. Y..(2007).FOE estimation: Can image measurement errors be totally "corrected" by the geometric method?.PATTERN RECOGNITION,40(7),1971-1980.
MLA Wu, F. C.,et al."FOE estimation: Can image measurement errors be totally "corrected" by the geometric method?".PATTERN RECOGNITION 40.7(2007):1971-1980.
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