2009 IEEE Conference on Computer Vision and Pattern Recognition 2009
DOI: 10.1109/cvpr.2009.5206501
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Visual tracking via geometric particle filtering on the affine group with optimal importance functions

Abstract: We propose a geometric method for visual tracking, in which the 2-D affine motion of a given object template is estimated in a video sequence by means of coordinateinvariant particle filtering on the 2-D affine group Aff(2). Tracking performance is further enhanced through a geometrically defined optimal importance function, obtained explicitly via Taylor expansion of a principal component analysis based measurement function on Aff (2). The efficiency of our approach to tracking is demonstrated via comparative… Show more

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Cited by 66 publications
(66 citation statements)
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“…Object tracking has previously been performed mostly for color/gray-scale image sequences [1,7,8,9,10]. However, depth images pose different challenges to the tracking algorithm than color/gray-scale images.…”
Section: Related Workmentioning
confidence: 99%
See 3 more Smart Citations
“…Object tracking has previously been performed mostly for color/gray-scale image sequences [1,7,8,9,10]. However, depth images pose different challenges to the tracking algorithm than color/gray-scale images.…”
Section: Related Workmentioning
confidence: 99%
“…In this work, we offer a solution to this problem by combining a recent clustering approach based on surface-model fitting [2] with a particle-filter-based affine-motion-estimation approach [7] with some modifications. Because we use a split-and-merge procedure for region growing which automatically adapts to the dynamic range data, predictions from the particle filter can be incorporated in a straightforward manner by refining seeding and, in consequence, the input to the tracker.…”
Section: Introductionmentioning
confidence: 99%
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“…Note that the proposed algorithm handles states evolving on the Riemannian manifold rather than the conventional Euclidean space, thus is different from most existing particle filters and their variations. Bayesian recursive filtering using particles has been proposed for specific manifolds in the context of tracking [17][18][19][20], while the following approach is generally applicable for various alignment manifolds. Furthermore, we formulate the static optimization problem into a dynamic state space model, which provides insight on applications of SIS to new problems beyond tracking.…”
Section: Sequential Importance Sampling On the Manifold For Optimal Amentioning
confidence: 99%