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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.
Source PublicationPATTERN RECOGNITION
2007-07-01
Volume40Issue:7Pages:1971-1980
SubtypeArticle
AbstractFor 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.
KeywordFoe Estimation Geometric Method Inherent Constraint
WOS HeadingsScience & Technology ; Technology
WOS KeywordEPIPOLAR GEOMETRY ; ALGORITHM ; MOTION
Indexed BySCI
Language英语
WOS Research AreaComputer Science ; Engineering
WOS SubjectComputer Science, Artificial Intelligence ; Engineering, Electrical & Electronic
WOS IDWOS:000246332300010
Citation statistics
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/9409
Collection09年以前成果
AffiliationChinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100080, Peoples R China
Recommended Citation
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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