Visual tracking via incremental Log-Euclidean Riemannian subspace learning
Recently, a novel Log-Euclidean Riemannian metric is proposed for statistics on symmetric positive definite (SPD) matrices. Under this metric, distances and Riemannian means take a much simpler form than the widely used affine-invariant Riemannian metric. Based on the Log-Euclidean Riemannian metric...
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| Vydáno v: | 2008 IEEE Conference on Computer Vision and Pattern Recognition s. 1 - 8 |
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| Jazyk: | angličtina |
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IEEE
01.06.2008
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| ISBN: | 9781424422425, 1424422426 |
| ISSN: | 1063-6919, 1063-6919 |
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| Abstract | Recently, a novel Log-Euclidean Riemannian metric is proposed for statistics on symmetric positive definite (SPD) matrices. Under this metric, distances and Riemannian means take a much simpler form than the widely used affine-invariant Riemannian metric. Based on the Log-Euclidean Riemannian metric, we develop a tracking framework in this paper. In the framework, the covariance matrices of image features in the five modes are used to represent object appearance. Since a nonsingular covariance matrix is a SPD matrix lying on a connected Riemannian manifold, the Log-Euclidean Riemannian metric is used for statistics on the covariance matrices of image features. Further, we present an effective online Log-Euclidean Riemannian subspace learning algorithm which models the appearance changes of an object by incrementally learning a low-order Log-Euclidean eigenspace representation through adaptively updating the sample mean and eigenbasis. Tracking is then led by the Bayesian state inference framework in which a particle filter is used for propagating sample distributions over the time. Theoretic analysis and experimental evaluations demonstrate the promise and effectiveness of the proposed framework. |
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| AbstractList | Recently, a novel Log-Euclidean Riemannian metric is proposed for statistics on symmetric positive definite (SPD) matrices. Under this metric, distances and Riemannian means take a much simpler form than the widely used affine-invariant Riemannian metric. Based on the Log-Euclidean Riemannian metric, we develop a tracking framework in this paper. In the framework, the covariance matrices of image features in the five modes are used to represent object appearance. Since a nonsingular covariance matrix is a SPD matrix lying on a connected Riemannian manifold, the Log-Euclidean Riemannian metric is used for statistics on the covariance matrices of image features. Further, we present an effective online Log-Euclidean Riemannian subspace learning algorithm which models the appearance changes of an object by incrementally learning a low-order Log-Euclidean eigenspace representation through adaptively updating the sample mean and eigenbasis. Tracking is then led by the Bayesian state inference framework in which a particle filter is used for propagating sample distributions over the time. Theoretic analysis and experimental evaluations demonstrate the promise and effectiveness of the proposed framework. |
| Author | Zhongfei Zhang Mingliang Zhu Jian Cheng Xi Li Xiaoqin Zhang Weiming Hu |
| Author_xml | – sequence: 1 surname: Xi Li fullname: Xi Li organization: Nat. Lab. of Pattern Recognition, Chinese Acad. of Sci., Beijing – sequence: 2 surname: Weiming Hu fullname: Weiming Hu organization: Nat. Lab. of Pattern Recognition, Chinese Acad. of Sci., Beijing – sequence: 3 surname: Zhongfei Zhang fullname: Zhongfei Zhang – sequence: 4 surname: Xiaoqin Zhang fullname: Xiaoqin Zhang organization: Nat. Lab. of Pattern Recognition, Chinese Acad. of Sci., Beijing – sequence: 5 surname: Mingliang Zhu fullname: Mingliang Zhu organization: Nat. Lab. of Pattern Recognition, Chinese Acad. of Sci., Beijing – sequence: 6 surname: Jian Cheng fullname: Jian Cheng organization: Nat. Lab. of Pattern Recognition, Chinese Acad. of Sci., Beijing |
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| Snippet | Recently, a novel Log-Euclidean Riemannian metric is proposed for statistics on symmetric positive definite (SPD) matrices. Under this metric, distances and... |
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| SubjectTerms | Cameras Covariance matrix Inference algorithms Kernel Lighting Particle filters Particle tracking Principal component analysis Robustness Statistics |
| Title | Visual tracking via incremental Log-Euclidean Riemannian subspace learning |
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