iccv iccv2013 iccv2013-303 knowledge-graph by maker-knowledge-mining

303 iccv-2013-Orderless Tracking through Model-Averaged Posterior Estimation


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Author: Seunghoon Hong, Suha Kwak, Bohyung Han

Abstract: We propose a novel offline tracking algorithm based on model-averaged posterior estimation through patch matching across frames. Contrary to existing online and offline tracking methods, our algorithm is not based on temporallyordered estimates of target state but attempts to select easyto-track frames first out of the remaining ones without exploiting temporal coherency of target. The posterior of the selected frame is estimated by propagating densities from the already tracked frames in a recursive manner. The density propagation across frames is implemented by an efficient patch matching technique, which is useful for our algorithm since it does not require motion smoothness assumption. Also, we present a hierarchical approach, where a small set of key frames are tracked first and non-key frames are handled by local key frames. Our tracking algorithm is conceptually well-suited for the sequences with abrupt motion, shot changes, and occlusion. We compare our tracking algorithm with existing techniques in real videos with such challenges and illustrate its superior performance qualitatively and quantitatively.

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Summary: the most important sentenses genereted by tfidf model

sentIndex sentText sentNum sentScore

1 kr Abstract We propose a novel offline tracking algorithm based on model-averaged posterior estimation through patch matching across frames. [sent-3, score-0.57]

2 Contrary to existing online and offline tracking methods, our algorithm is not based on temporallyordered estimates of target state but attempts to select easyto-track frames first out of the remaining ones without exploiting temporal coherency of target. [sent-4, score-0.84]

3 The posterior of the selected frame is estimated by propagating densities from the already tracked frames in a recursive manner. [sent-5, score-0.719]

4 The density propagation across frames is implemented by an efficient patch matching technique, which is useful for our algorithm since it does not require motion smoothness assumption. [sent-6, score-0.484]

5 Also, we present a hierarchical approach, where a small set of key frames are tracked first and non-key frames are handled by local key frames. [sent-7, score-0.597]

6 Our tracking algorithm is conceptually well-suited for the sequences with abrupt motion, shot changes, and occlusion. [sent-8, score-0.492]

7 We compare our tracking algorithm with existing techniques in real videos with such challenges and illustrate its superior performance qualitatively and quantitatively. [sent-9, score-0.239]

8 Offline tracker is a reasonable option for tracking objects in such videos since more robust tracking results can be obtained by utilizing observations from the multiple frames regardless of their temporal order. [sent-12, score-0.695]

9 However, most of existing online (and even most of offline) tracking algorithms are limited to processing frames in a temporal order. [sent-13, score-0.501]

10 Note that tracking algorithms often fail eventually because a few intermediate frames are extremely challenging due to fast motion, shot changes, occlusion, shadow, and temporary appearance changes. [sent-14, score-0.492]

11 While these methods are successful in handling various appearance changes, they all assume temporal smoothness of target motion; they often fail to track objects in the presence of sudden changes in target and scene. [sent-19, score-0.396]

12 It successfully tracks objects even with sudden changes of target location including shot changes in an online manner. [sent-21, score-0.336]

13 However, it may not be able to recover from temporal failures as other online tracking algorithms, and may not be sufficiently robust to other kinds of challenges such as occlusion, background clutter, and appearance changes. [sent-22, score-0.322]

14 Offline tracking [4, 6, 20, 22, 23] is an alternative option to handle abrupt motion, occlusion, and shot changes robustly since it can utilize entire frames within video at once. [sent-23, score-0.685]

15 [22] formulates offline tracking as a global optimization problem, and solves it by dynamic programming efficiently. [sent-25, score-0.316]

16 Note that dynamic programming estimates target state at each frame recursively, and still follows a predefined order, typically temporal order, of a sequence; the benefit of offline tracking is limited in practice. [sent-27, score-0.648]

17 On the other hand, [20] proposes a bi-directional tracking algorithm, where a full trajectory of target is obtained by connecting a set of short trajectories with occlusion handling through the optimization with a discrete Hidden Markov Model (HMM). [sent-28, score-0.328]

18 We propose an offline tracking algorithm based on model-averaged posterior estimation. [sent-30, score-0.512]

19 esMainframRewmaoinrkgfroamfeosuralgorithRme ain gframes estimates its posterior sequentially by a variant of sequential Bayesian filtering. [sent-32, score-0.306]

20 The posterior is represented with a mixture model—mixture of potential tracking orders—and estimated by a weighted sum of multiple posteriors corresponding to the models. [sent-33, score-0.424]

21 The observation in each frame is performed by a patch matching through hashing, which is appropriate for computing likelihoods without temporal smoothness assumption. [sent-34, score-0.289]

22 Additionally, we present a hierarchical key frame based tracking algorithm, which exploits the temporal unorderedness of our algorithm and reduces computational cost significantly. [sent-35, score-0.471]

23 The characteristics and benefits ofour tracking algorithm are summarized below: • • Our tracking algorithm does not have any temporal smoothness assumption, and is conceptually more robust to abrupt motion, occlusion, and shot changes of target than existing techniques. [sent-37, score-0.949]

24 A hierarchical tracking approach is proposed for further efficiency, where a small number of key frames are tracked first and non-key frames are handled by nearby key frames. [sent-39, score-0.794]

25 Suppose that frame t4 is selected for tracking in the 4th time step. [sent-167, score-0.34]

26 (b) Tracking result of the frame t4 is determined by average estimate of the four chain models. [sent-169, score-0.224]

27 Our objective is to estimate the posterior density functions P(xi) for all frames in a sequential but non-temporal order one-by-one in a greedy manner, where the next frame is selected for tracking based on the uncertainty score of each P(xi). [sent-172, score-0.936]

28 , tk} is a set of tracked frames sorted in the tracked order, and Rk = F \ Tk = {r1, . [sent-180, score-0.439]

29 At the time step k + 1, where k frames are tracked, our tracking algorithm performs the following procedure: 1. [sent-184, score-0.418]

30 Given target posterior density functions of all tracked frames P(xt) , ∀t ∈ Tk, it estimates the intermediate posterior density functions of all remaining frames P(xi) , ∀i ∈ Rk, recursively. [sent-185, score-1.257]

31 Note that the new element tk+1 in Tk+1 also updates the posterior densities of remaining frames from the next iteration. [sent-189, score-0.462]

32 Once a frame is inserted into the tracked list Tk, corresponding target posterior density would not change any more. [sent-190, score-0.659]

33 Probabilistic Framework of Our Algorithm We present the main probabilistic framework ofour algorithm; we describe our posterior estimation technique called model-averaged posterior estimation and discuss how it is related to patch-based observation technique. [sent-193, score-0.442]

34 Model-Averaged Posterior Estimation We first describe how target posterior density functions are estimated for the remaining frames given k − 1 tracked 22229977 frames and their corresponding posterior density functions. [sent-196, score-1.239]

35 Since our algorithm is not limited to temporally ordered estimation of posterior density functions, we employ a novel Bayesian formulation to handle a tracking scenario with an arbitrary sequence of frames. [sent-197, score-0.593]

36 If the temporal order of frames is ignored, there are a number of possible ways to reach the kth tracking frame, tk, from the tracked k − 1 frames as illustrated in Figure 2(a). [sent-198, score-0.835]

37 We can take any sequence generated by any subset of frames in Tk−1 1 as intermediate hops. [sent-199, score-0.223]

38 Note that each potential path from t1 to tk is modeled by the first order Markov chain. [sent-200, score-0.592]

39 So, tracking by a single model is risky especially when there are critical challenges in the model such as abrupt motion and shot changes. [sent-203, score-0.475]

40 That is, tracking result of a frame is determined by average estimate of all possible chain models instead ofchoosing one, as illustrated in Figure 2(b). [sent-205, score-0.421]

41 Let tk be the frame index selected for tracking in the kth time step. [sent-206, score-0.938]

42 In principle, to estimate the posterior of xtk , we need to enumerate all chain models whose last nodes are tk and calculate the average of their posteriors. [sent-207, score-1.372]

43 We can estimate the posterior of xtk in a simple and recursive fashion, which is formally given by P? [sent-208, score-0.731]

44 (xt)dxt, (1) where t denotes a frame tracked before the kth time step, and Ztk is an observation variable of frame tk. [sent-212, score-0.407]

45 Note that all chain models arriving at frame t are already averaged when calculating P? [sent-217, score-0.224]

46 Once frame tk is selected and tracked, ) will no? [sent-219, score-0.703]

47 By Bayesian model averaging strategy, the posterior of xt is given by P? [sent-226, score-0.303]

48 set, only one sequence is generated from each where ZSt is an observation variable corresponding to the frames in St, and ΩSt denotes a candidate chain model given by St. [sent-234, score-0.322]

49 , (3) where pt→tk denotes the path from the last node in ΩSt to tk and ? [sent-238, score-0.592]

50 (xt)dxt, ∝ (7) where the posterior density function for the kth tracking frame is now defined recursively. [sent-294, score-0.662]

51 The prior of the path, P(pt→tk ), represents which path would be preferred to tracking frame tk, and is simply given by P(pt→tk) ∝ k −1 1, t ∈ Tk−1. [sent-295, score-0.354]

52 (1) corresponds to density propagation process; given the target density at frame t ∈ Tk−1, we want to estimate ) through prediction and update steps, P(xtk |xt) and P? [sent-303, score-0.462]

53 For a set of patches within target window corresponding to each sample xti in It, we obtain a voting result with respect to Itk as ? [sent-317, score-0.204]

54 j=1 ctj where is the center position of the jth patch within the target bounding box centered at xti, Kti is the number of patches within the bounding box, and atj is the offset from ctj to xti. [sent-320, score-0.364]

55 Since it relies only on patch matching and voting between frames, a density propagated from a single frame may cause drift problem. [sent-329, score-0.327]

56 CSH searches entire image area with very low computational cost, and it is natural to effectively handle abrupt motion, shot changes, and occlusion of target without temporal smoothness assumption. [sent-334, score-0.479]

57 Our patch-based voting algorithm is robust to local changes of target appearance such as partial occlusion and moderate non-rigid transformation. [sent-336, score-0.235]

58 (11), matching between a pair of frames are to be computed at most once throughout tracking. [sent-339, score-0.221]

59 Note that the choice of density propagation technique in this work is orthogonal to our model-averaged posterior estimation framework for offline tracking. [sent-340, score-0.458]

60 We now describe how to determine the next frame tk out of Rk−1 based on the uncertainty analysis for the rest of frames, which corresponds to the second and third steps of Section 2. [sent-345, score-0.723]

61 Tracking result in a frame is likely to be reliable if its posterior density function has a clear mode, and we measure the uncertainty using entropy. [sent-346, score-0.465]

62 For each frame r ∈ Rk−1, we compute the marginalized posterior probability of each block, which is given by P(Brm) = ? [sent-351, score-0.322]

63 We compute the entropy for every frame in Rk−1 and choose the frame with minimum entropy as tk = arg mrin H(xr), r ∈ Rk−1 . [sent-369, score-0.866]

64 (14) By the above criterion, our algorithm tends to select easyto-track frames first regardless of their temporal order, and it helps to prevent the entire track from being corrupted by few tracking failures. [sent-370, score-0.549]

65 After frame selection, we update the sets for tracked and remaining frames by Tk = Tk−1 ∪ {tk} and Rk = Rk−1 \ {tk}. [sent-371, score-0.468]

66 Once a frame is inserted into Tk, its posterior does not change during remaining iterations any more. [sent-372, score-0.367]

67 , our techniques does not rely on any temporal or spatial coherency of target and it is ? [sent-381, score-0.24]

68 × reasonable to track a subset of frames first and estimate the posteriors of the rest of frames based only on the tracked frames. [sent-383, score-0.577]

69 Key Frame Selection Key frames should capture important characteristics of entire video, especially in case that the video contains a lot of variations inside such as shot changes, fast motion, and occlusion. [sent-388, score-0.295]

70 We employ a similar idea in [8] to identify key frames from an input video. [sent-389, score-0.227]

71 Our key frame selection technique first embeds all frames in a metric space, and selects a subset of frames by solving a metric facility location problem. [sent-390, score-0.575]

72 Given the dissimilarity matrix D, all frames can be em- bedded in a metric space by a non-linear manifold learning technique, and we employ Isomap [21] algorithm. [sent-395, score-0.201]

73 Note that original dissimilarities (distances) between frames are preserved maximally through the manifold embedding; if the distance between two frames is small, they are likely to be located in a neighborhood. [sent-396, score-0.424]

74 We find a subset of frames K ⊆ F, where |K| = κ, based on the following objective function: K∗ = argK m⊆inFmv∈aFxum∈iKndE(u,v) (17) 2Sequence partitioning is another idea to make our algorithm much faster, but we focus on this hierarchical approach in this paper. [sent-399, score-0.245]

75 where F denotes the entire set of frames and dE is the distance in the embedded space. [sent-400, score-0.221]

76 The selected frames by solving κ-center problem serve as anchor frames to the rest of frames in the local area in the embedded space. [sent-401, score-0.641]

77 Density Propagation to Non-Key Frames After selecting key frames by the method described in Section 4. [sent-406, score-0.227]

78 1, we perform the inference for the posterior of the key frames based on the procedure presented in Section 3. [sent-407, score-0.424]

79 To propagate the density functions estimated in the key frames to the non-key frames, we exploit the embedding result as described below. [sent-408, score-0.332]

80 For each frame u ∈ F \ K, compute the posterior of each frame by a single hop density propagation, which is given by P? [sent-416, score-0.552]

81 ⊆K In step 2, we discard the key frames with negligible weights by setting their weights to 0, and re-normalize weights. [sent-423, score-0.227]

82 ames to estimate the posterior for each frame in F \ K). [sent-430, score-0.322]

83 All the sequences involve at least one critical challenges; animal has fast motion and motion blur, tennis is with abrupt location changes and pose variations, TUD, campus, accident contain severe occlusions, and the others involve shot changes and pose variations. [sent-436, score-0.529]

84 We present the subsets of target windows by their tracked orders. [sent-440, score-0.21]

85 Note that tracked order is not consistent with temporal order; we can observe that the proposed algorithm tends to track easy frames first. [sent-442, score-0.471]

86 In each time step k, our tracker analyzes all the frames in Rk−1 to decide next move; it measures uncertainty of every frame, and add the most confident one into Tk. [sent-446, score-0.26]

87 It tends to choose frames in an increasing order of difficulty, as illustrated in Figure 3, which may not be same with temporal order. [sent-447, score-0.306]

88 Note that, in Figure 3(a) and 3(c), visually similar frames to the initial frame have been selected at the beginning even with very different temporal locations. [sent-448, score-0.423]

89 Quantitative and Qualitative Performance We compared our algorithm with the state-of-the-art tracking methods, which include L1 [17], L1-APG [3], SCM [25], ASLSA [10], MTT [24], MIL [2], IVT [18], FRAG [1], WLMC [14], and OTLE [6]. [sent-452, score-0.217]

90 Examples of tracking failure are online trackers except OTLE, and WLMC is a specialized technique to handle abrupt motion of target; these two methods are more related to the proposed algorithm. [sent-454, score-0.428]

91 It is probably because the algorithm is specialized for the sudden location changes of target but is not good enough to handle other variations such as occlusion in TUD and campus and background clutter in animal. [sent-464, score-0.303]

92 The offline tracking algorithm, OTLE, is generally worse than ours. [sent-465, score-0.295]

93 Other trackers have significant troubles to handle shot changes and abrupt motion of target. [sent-466, score-0.324]

94 Some examples of tracking failure in psy are presented in Figure 5. [sent-468, score-0.27]

95 Although our algorithm fails in some frames due to severe deformation or lighting changes, error propagation to other frames is minor since our algorithm tends to postpone processing the failed frames and their influence is curbed by the model-averaged posterior estimation. [sent-469, score-0.902]

96 Conclusion We presented a novel offline tracking algorithm based on model-averaged density estimation, where the posterior of a newly selected frame for tracking is estimated by a weighted mixture model. [sent-471, score-0.957]

97 Our tracking algorithm is free from temporal smooth- ness assumption, and tends to choose easy-to-track frames first and challenging frames last. [sent-480, score-0.724]

98 So, it is conceptually ro- bust to various challenges such as abrupt motion, occlusion, and shot changes. [sent-481, score-0.269]

99 To handle observations out temporal coherency efficiently with- across frames, a patch matching technique by hashing is employed. [sent-482, score-0.278]

100 We evaluated the per- formance of our algorithm qualitatively and quantitatively, and compared with the state-of-the-art tracking algorithms. [sent-483, score-0.217]


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