cvpr cvpr2013 cvpr2013-359 knowledge-graph by maker-knowledge-mining

359 cvpr-2013-Robust Discriminative Response Map Fitting with Constrained Local Models


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Author: Akshay Asthana, Stefanos Zafeiriou, Shiyang Cheng, Maja Pantic

Abstract: We present a novel discriminative regression based approach for the Constrained Local Models (CLMs) framework, referred to as the Discriminative Response Map Fitting (DRMF) method, which shows impressive performance in the generic face fitting scenario. The motivation behind this approach is that, unlike the holistic texture based features used in the discriminative AAM approaches, the response map can be represented by a small set of parameters and these parameters can be very efficiently used for reconstructing unseen response maps. Furthermore, we show that by adopting very simple off-the-shelf regression techniques, it is possible to learn robust functions from response maps to the shape parameters updates. The experiments, conducted on Multi-PIE, XM2VTS and LFPW database, show that the proposed DRMF method outperforms stateof-the-art algorithms for the task of generic face fitting. Moreover, the DRMF method is computationally very efficient and is real-time capable. The current MATLAB implementation takes 1second per image. To facilitate future comparisons, we release the MATLAB code1 and the pretrained models for research purposes.

Reference: text


Summary: the most important sentenses genereted by tfidf model

sentIndex sentText sentNum sentScore

1 uk c} al Abstract We present a novel discriminative regression based approach for the Constrained Local Models (CLMs) framework, referred to as the Discriminative Response Map Fitting (DRMF) method, which shows impressive performance in the generic face fitting scenario. [sent-7, score-0.582]

2 The motivation behind this approach is that, unlike the holistic texture based features used in the discriminative AAM approaches, the response map can be represented by a small set of parameters and these parameters can be very efficiently used for reconstructing unseen response maps. [sent-8, score-0.838]

3 Furthermore, we show that by adopting very simple off-the-shelf regression techniques, it is possible to learn robust functions from response maps to the shape parameters updates. [sent-9, score-0.449]

4 [4] proposed several generative AAM fitting methods, some capable of realtime face tracking [17], making AAM one of the most commonly used face tracking method. [sent-18, score-0.532]

5 As an alternative, several discriminative fitting methods for AAM were proposed [16, 20, 21, 22] that utilized the available training data for learning the fitting update model and showed robustness against poor initialization. [sent-20, score-0.884]

6 However, the overall performance of these discriminative fitting methods have been shown to deteriorate significantly for crossdatabase experiments [22]. [sent-21, score-0.434]

7 [23] who proposed a fitting method, known as the Regularized Landmark MeanShift (RLMS), which outperformed AAM in terms of landmark localization accuracy and is considered to be among the state-of-the-art methods for the generic face fitting scenario. [sent-24, score-0.912]

8 However, the discriminative regression-based fitting approaches have not received much attention in the CLM framework, and hence, are the main focus of our work. [sent-25, score-0.406]

9 As our main contribution, we propose a novel Discriminative Response Map Fitting (DRMF) method for the CLM framework that outperforms both the RLMS fitting method [23] and the tree-based method [26]. [sent-26, score-0.351]

10 Moreover, we show that the robust HOG feature [12] based patch experts can significantly boost the fitting performance and robustness of the CLM framework. [sent-27, score-0.503]

11 We show that the multi-view HOG-CLM framework, which uses the RLMS fitting method [23], also outperforms the recently proposed tree-based method [26]. [sent-28, score-0.351]

12 For controlled settings, we conduct identity, pose, illumination and expression invariant experiments on MultiPIE [14] and XM2VTS [19] databases. [sent-30, score-0.146]

13 The Problem The aim of a facial deformable model is to infer from an image the facial shape (2D or 3D, sparse [9, 5] or dense [7]), controlled by a set of parameters. [sent-36, score-0.37]

14 333444444422 (a) Holistic Models that use the holistic texture-based facial representations; and (b) Part Based Models that use the local image patches around the landmark points. [sent-42, score-0.318]

15 Holistic Models Holistic models employ a shape model, typically learned by annotating n fiducial points xj = [xj, and, then, concatenating them into a vector s = [x1, . [sent-47, score-0.164]

16 A statistical shape model S can be learned from a set of training points by applying PCA. [sent-51, score-0.154]

17 Another common characteristic of holistic models is the motion model, which is defined using a warping function W(x; s). [sent-52, score-0.17]

18 The holistic models can be further divided according to the way the fitted strategy is designed. [sent-56, score-0.14]

19 In generative holis- yj]Tjn=1 tic models [4, 17], a texture model is also defined besides the shape and motion models. [sent-57, score-0.195]

20 The fitting is performed by an analysis-by-synthesis loop, where, based on the current parameters of the model, an image is rendered. [sent-58, score-0.382]

21 In probabilistic terms, these models attempt to update the required parameters by maximizing the probability of the test sample being constructed by the model. [sent-60, score-0.137]

22 Drawbacks of Holistic Models: (1) For the case of the generative holistic models, the task of defining a linear statistical model for the texture that explains the variations due to changes in identity, expressions, pose and illumination is not an easy task. [sent-62, score-0.31]

23 Part Based Models The main advantages of the part-based models are (1) partial occlusions can be easier to handled since we are interested only in facial parts, (2) the incorporation of a 3D facial shape is now straightforward since there is no warping image function to be estimated. [sent-68, score-0.401]

24 In general, in part-based representations the model setup is M = {S, D} where D is a set of detectors of the various facial parts (each part corresponds to a fiducial point of the shape model S). [sent-69, score-0.254]

25 The 3D shape model of CLMs can be described as: s(p) = sR(s0 + Φsq) + t, (1) where R (computed via pitch rx, yaw ry and roll rz), s and t = [tx ; ty; 0] control the rigid 3D rotation, scale and translations respectively, while q controls the non-rigid variations of the shape. [sent-71, score-0.203]

26 Therefore the parameters of the shape model are p = [s, rx , ry, rz , tx , ty, q] . [sent-72, score-0.169]

27 Furthermore, D is a set of linear classifiers for detection of n parts of the face and is represented as D = {wi, bi}in=1, where wi , bi is the linear detector for the ith part of the face (e. [sent-73, score-0.156]

28 In ASM and CLMs, the objective is to create a shape model from the parameters p such that the positions of the created model on the image correspond to well-aligned parts. [sent-79, score-0.135]

29 , p(s(p) | {li = 1}in=1 , I)), we propose to follow a discriminative regression framework for estimating the model parameters p. [sent-103, score-0.14]

30 That is, we propose to find a mapping from the response estimate of shape perturbations to × shape parameter updates. [sent-104, score-0.434]

31 In particular, let us assume that in the training set we introduce a perturbation Δp and around each point of the perturbed shape we have response estimates in a w w window centered around the perturbed point, Ai (Δp) = [p(li = 1 | x + xi (Δp)] . [sent-105, score-0.546]

32 Then, from the response maps around the perturbed shape {Ai (Δp)}in=1 we want to learn a function f such that f({Ai (Δp)}in=1) = Δp. [sent-106, score-0.433]

33 In the first step, the goal is to train a dictionary for the response map approximation that can be used for extracting the relevant feature for learning the fitting update model. [sent-110, score-0.727]

34 The second step involves iteratively learning the fitting update model which is achieved by a modified boosting procedure. [sent-111, score-0.428]

35 The goal here is to learn a set of weak learners that model the obvious non-linear relationship between the joint low-dimensional projection of the response maps from all landmark points and the iterative 3D shape model parameters update (Δp). [sent-112, score-0.615]

36 Training Response Patch Model Before proceeding to the learning step, the goal is to build a dictionary of response maps that can be used for representing any instance of an unseen response map. [sent-115, score-0.592]

37 Now, given the dictionary Zi, the set of weights for a response map window Ai for the point ican be found by: hio = argmhaix||Zihi − vec(Ai)||2, s. [sent-123, score-0.299]

38 Then, instead of finding a regression function from the perturbed responses {Ai (Δp)}in=1, we aim at finding a function from the low-dimensional weight vectors {hi (Δp)}in=1 to the update of parameters Δp. [sent-125, score-0.265]

39 For practical reasons and to avoid solving the optimization problem (5) for each part in the fitting procedure, instead of NMF we have also applied PCA on {Ai (Δpj)}jN=1 . [sent-126, score-0.351]

40 An illustrative example on how effectively a response map can be reconstructed by as small number of PCA components (capturing 85% of the variation) is shown in Figure 1. [sent-128, score-0.256]

41 We refer to this dictionary as Response Patch Model represented by: {M, V} : M = {mi}in=1 and V = {Vi}in=1 (6) where, mi and Vi are the mean vector and PCA bases, respectively, obtained for each of the n landmark points. [sent-129, score-0.131]

42 Training Parameter Update Model Given a set of N training images I the correspondand ing shapes S, the goal is to iteratively model the relationship between the joint low-dimensional projection of the response patches, obtained from the response patch model {M , V}, and the parameters update (Δp). [sent-132, score-0.688]

43 For this, we propose to use a modified boosting procedure in that we uniformly sample the 3D shape model parameter space within a pre-defined range around the ground truth parameters pg (See Eqn. [sent-133, score-0.192]

44 1), and iteratively model the relationship between the joint low-dimensional projection of the response patches at the current sampled shape (represented by tth sampled shape parameter pt) and the parameter update Δp (Δp = pg − pt). [sent-134, score-0.537]

45 Overview of the response patch model: (a) Original HOG based response patches. [sent-136, score-0.53]

46 (b) Reconstructed response patches using the response patch model that captured 85% variation. [sent-137, score-0.53]

47 Let T be the number of shape parameters set sampled from the shapes in S, such that the initial sampled shape parameter set is represented by P(1) : P(1) = {pj(1)}jT=1 and ψ(1) = {Δpj(1)}jT=1 (7) ‘1’ in the superscript represents the initial set (first iteration). [sent-138, score-0.239]

48 Next, extract the response patches for the shape represented by each of the sampled shape parameters in P(1) and compute the low-dimensional projection using the response patch model {M , V}. [sent-139, score-0.769]

49 Now, with the training set T(1) = {χ(1) , ψ(1) }, we learn the fitting parameter update function for the first iteration i. [sent-144, score-0.507]

50 a weak learner F(1) : F(1) ψ(1) ← χ(1) (9) We then propagate all the samples from T(1) through F(1) to generate Tn1ew and eliminate the converged samples in to generate T(2) for the second iteration. [sent-146, score-0.223]

51 Here, : Tn(1ew) convergence means that the shape root mean square error (RMSE) between the predicted shape and the ground truth shape is less than a threshold (for example, set to 2 for the experiments in this paper). [sent-147, score-0.312]

52 6 global shape parameters and the top 10 non-rigid shape parameters. [sent-152, score-0.239]

53 We propagate this new sample set through F1 and eliminate the converged samples to generate an additional replacement training set for the second iteration . [sent-157, score-0.239]

54 The training set for the second iteration is updated: Tr(e2p) T(2) ← {T(2), Tr(e2p)} (10) and the fitting parameter update function for the second iteration is learnt i. [sent-158, score-0.536]

55 Firstly, it plays an important role in insuring that the progressive fitting parameter update functions are trained on the tougher samples that have not converged in the previous iterations. [sent-162, score-0.528]

56 The above training procedure is repeated iteratively until all the training samples have converged or the maximum number of desired training iterations (η) have been reached. [sent-164, score-0.281]

57 The resulting fitting parameter update model U is a set of weak learners: U= {F(1), . [sent-165, score-0.457]

58 3 Generate training set for first iteration 4 for i= 1→ η do 5 Compute the weak learner using . [sent-176, score-0.144]

59 Fitting Procedure Given the test image Itest, the fitting parameter model U is used to compute the additive parameter Δp iteratively. [sent-186, score-0.351]

60 The goodness of fitting is judged fitting score that is computed for each iteration by update update by the simply adding the responses (i. [sent-187, score-0.919]

61 the probability values) at the landmark locations estimated by the current shape estimate of that iteration. [sent-189, score-0.192]

62 The final fitting shape is the shape with the highest fitting score. [sent-190, score-0.91]

63 Experiments We conducted generic face fitting experiments on the Multi-PIE [14], XM2VTS [19] and the LFPW [6] databases. [sent-192, score-0.473]

64 The Multi-PIE database is the most commonly used database for generic face fitting and is the best for comparison with previous approaches. [sent-193, score-0.593]

65 The XM2VTS database focuses mainly on the variations in identity and is a challenging database in a generic face fitting scenario because of the large variations in facial shape and appearance due to facial hair, glasses, ethnicity and other subtle variations. [sent-195, score-1.111]

66 Unlike the Multi-PIE and the XM2VTS, the LFPW database is a completely wild database, i. [sent-196, score-0.147]

67 consists of images captured under uncontrolled natural settings, and is an extremely challenging database for the generic face fitting experiment. [sent-198, score-0.611]

68 Another consistent aspect for all the following experiments is the initialization of the fitting procedure. [sent-204, score-0.351]

69 However, this face detector often fails on the LFPW dataset and for several images with varying illumination and pose in Multi-PIE and XM2VTS database. [sent-206, score-0.159]

70 Therefore, for the images on which the face detector failed, we used the bounding box provided by our own trained tree-based model p204 (described in the following section) and perturbed this bounding box by 10 pixels for translation, 5◦ for rotation and 0. [sent-207, score-0.147]

71 We then initialized the mean face at the centre of this perturbed bounding box. [sent-209, score-0.147]

72 We believe this is due to the use of tree-based shape model that allows for non-face like structures to occur making it hard to accurately fit the model, especially for the case of facial expressions. [sent-213, score-0.223]

73 [2] XM2VTS experiment, performed in an out-of-database scenario, highlights the ability of the DRMF method to handle unseen variations and other challenging variations like facial hair, glasses and ethnicity. [sent-214, score-0.329]

74 the response maps extracted from an unseen image can be very faithfully represented by a small set of parameters and are suited for the discriminative fitting frameworks, unlike the holistic texture based features. [sent-219, score-0.983]

75 [5] Moreover, the fitting procedure of the DRMF method is highly efficient and is real-time capable. [sent-220, score-0.382]

76 The training set consisted of roughly 8300 images which included the subjects 001-170 at poses 051, 050, 140, 041 and 130 with all six expressions at frontal illumination and one other randomly selected illumination condition. [sent-230, score-0.298]

77 The multi-view CLMs trained using the HOG feature based patch experts and the RLMS fitting method is referred as HOG-RLMS-Multiview. [sent-232, score-0.503]

78 Whereas, the multi-view CLMs trained using the HOG feature based patch experts and the DRMF fitting method (Section 3) is referred as as HOG-DRMF-Multiview. [sent-233, score-0.503]

79 Moreover, we also trained RAWRLMS-Multiview which refers to the multi-view CLM using the RAW pixel based patch experts and the RLMS fitting method. [sent-234, score-0.503]

80 This helps in showing the performance gained by using the HOG feature based patch experts instead of the RAW pixel based patch experts. [sent-235, score-0.23]

81 For the tree-based method [26], we trained the tree-based model p204 that share the patch templates across the neighboring viewpoints and is equivalent to the multi-view CLM methods, using exactly the same training data for a fair comparison with CLM based approaches. [sent-236, score-0.128]

82 Basically, training an independent tree-based model amounts to training separate models for each variation present in the dataset i. [sent-238, score-0.129]

83 With preliminary calculations, such a model will require over a month of training time and nearly 90 seconds per image of fitting time. [sent-244, score-0.401]

84 The test set consisted of roughly 7100 images which included the subjects 171-346 at poses 051, 050, 140, 041 and 130 with all six expressions at frontal illumination and one other randomly selected illumination condition. [sent-245, score-0.248]

85 We also see a substantial gain in the performance by using the HOG feature based patch experts (HOG-RLMS-Multiview) instead of the RAW pixel (RAWRLMS-Multiview). [sent-247, score-0.152]

86 The qualitative analysis of the results suggest that the tree-based methods [26], although suited for the task of face detection and rough pose estimation, are not well suited for the task of landmark localization. [sent-249, score-0.266]

87 We believe, this is due to the use of tree-based shape model that allows for the non-face like structures to occur frequently, especially for the case of facial expressions. [sent-250, score-0.223]

88 the models used for fitting are trained entirely on the Multi-PIE database. [sent-257, score-0.38]

89 We used the HOG-DRMF-Multiview, HOG-RLMS-Multiview and the tree-based model p204, used for generating results in Figure 2, to perform the fitting on the XM2VTS database. [sent-258, score-0.351]

90 The results show that not only does DRMF outperform other state-of-the-art approaches in an out-of-database experiment but also handles the challenging variations in the facial shape and appearance present in the XM2VTS database due to facial hair, glasses and ethnicity. [sent-264, score-0.521]

91 the response maps extracted from an unseen image can be very faithfully represented by a small set of parameters and are suited for the discriminative fitting frameworks, unlike the holistic texture based features. [sent-267, score-0.983]

92 LFPW Experiments For further test the ability of the DRMF method to handle unseen variations, we conduct experiments using the database that presents the challenge of uncontrolled natural settings. [sent-270, score-0.24]

93 All of these images were captured in the wild and contain large variations in pose, illumination, expression and occlusion. [sent-272, score-0.175]

94 We used the HOG-DRMF-Multiview, HOG-RLMSMultiview and the tree-based model p204 trained only on the Multi-PIE database (used previously for generating results in Figure 2) to perform fitting on the LFPW test set. [sent-277, score-0.411]

95 We then augmented the Multi-PIE training set with the LFPW training set and re-trained the CLM and treebased models. [sent-278, score-0.136]

96 These wild models were then used to perform fitting on the LFPW test set and the results are reported in Figure 4. [sent-280, score-0.467]

97 Firstly, this result clearly show that the proposed response map based discriminative fitting methodology can handle wild face and further emphasises the suitability of the parameterized response map models for the discriminative fitting frameworks. [sent-284, score-1.518]

98 This shows the advantage of the proposed response map based discriminative fitting approach that uses the available training data in a more useful way by learning the fitting update model as compared to the RLMS that rely entirely on the gauss-newton optimization based methodologies. [sent-290, score-1.14]

99 We conduct detailed experiments in a generic face fitting scenario on the databases with images captured under both the controlled (Multi-PIE and XM2VTS) and uncontrolled natural setting (LFPW Database). [sent-295, score-0.647]

100 The results show that the proposed DRMF method outperforms the state-of-the- art RLMS fitting method [23] and the recently proposed tree-based method [26] consistently across all databases. [sent-296, score-0.351]


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