NDLI: Generalizing Wiberg algorithm for rigid and nonrigid factorizations with missing components and metric constraints

Content Provider	IEEE Xplore Digital Library
Author	Yinqiang Zheng Sugimoto, S. Shuicheng Yan Okutomi, M.
Copyright Year	2012
Description	Author affiliation: Department of Mechanical and Control Engineering, Tokyo Institute of Technology (Yinqiang Zheng; Sugimoto, S.; Okutomi, M.) \|\| Department of Electrical and Computer Engineering, National University of Singapore (Shuicheng Yan)
Abstract	In spite of intensive endeavor over decades, rigid and nonrigid factorizations under metric constraints, possibly in the presence of missing components, remain to be very challenging. In this work, we try to break the hard nut by generalizing to these problems the Wiberg algorithm, one of the most successful solutions for unconstrained bilinear factorization. To properly handle missing components, we advocate a bilinear factorization formulation with an extra mean vector. In spirit of the Wiberg algorithm, we first propose an efficient and initialization-insensitive algorithm for unconstrained factorization, posterior correction of whose solution offers reasonable initialization for metric upgrade. For factorization with metric constraints, we reformulate it into an unconstrained problem through quaternion parametrization, which merges elegantly into our unconstrained factorization algorithm. Extensive experiment results verify that our proposed methods are fast, accurate and robust to high percentage of missing components.
Starting Page	2010
Ending Page	2017
File Size	235790
Page Count	8
File Format	PDF
ISBN	9781467312264
ISSN	10636919
e-ISBN	9781467312288
e-ISBN	9781467312271
DOI	10.1109/CVPR.2012.6247904
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-06-16
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Vectors Measurement Jacobian matrices Quaternions Least squares approximation Cameras
Content Type	Text
Resource Type	Article
Subject	Computer Vision and Pattern Recognition Software

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