2009
DOI: 10.1177/0278364909345167
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Visual Tracking via Particle Filtering on the Affine Group

Abstract: We present a particle filtering algorithm for visual tracking, in which the state equations for the object motion evolve on the two-dimensional affine group. We first formulate, in a coordinateinvariant and geometrically meaningful way, particle filtering on the affine group that allows for combined state-covariance estimation. Measurement likelihoods are also calculated from the image covariance descriptors using incremental principal geodesic analysis, a generalization of principal component analysis to curv… Show more

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Cited by 40 publications
(57 citation statements)
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“…For this purpose, we developed a novel method for tracking in depth images based on a geometric particle filter on the affine group. This type of tracking paradigm has been used before in color images [7], [22]. An advantage of our method compared to color-based tracking is that its performance is independent of the appearance of the object in terms of color and texture (see Fig.…”
Section: Discussionmentioning
confidence: 99%
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“…For this purpose, we developed a novel method for tracking in depth images based on a geometric particle filter on the affine group. This type of tracking paradigm has been used before in color images [7], [22]. An advantage of our method compared to color-based tracking is that its performance is independent of the appearance of the object in terms of color and texture (see Fig.…”
Section: Discussionmentioning
confidence: 99%
“…The surface template I t=0 (P) is periodically updated every five frames by computing the mean of the 3D shape that has been tracked during this interval. Detailed description for calculating the measurement likelihood p(y t |X t ) for the importance sampling step as well as the particle resampling step can be found in [7], [22].…”
Section: Related Workmentioning
confidence: 99%
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“…The filter which is most commonly used for video object tracking in the literature [15], [23], [16] is the Sampling Importance Resampling (SIR) filter proposed by [14].…”
Section: Color-based Particle Filtersmentioning
confidence: 99%
“…Yet, this is computationally infeasible. In theory, the particle filter can track any parametric variation including the pose as in [8] where the affine motion is imposed as the state and particle filtering is applied on affine group. However, the intrinsic dependency to random sampling tends to degenerate and debilitate the estimated likelihoods especially for higher dimensional pose representations.…”
Section: Introductionmentioning
confidence: 99%