Appearance variations result in many difficulties in face image analysis. To deal with this challenge, we present a Unified Tensor-based Active Appearance Model (UT-AAM) for jointly modelling the geometry and texture information of 2D faces. For each type of face information, namely shape and texture, we construct a unified tensor model capturing all relevant appearance variations. This contrasts with the variation-specific models of the classical tensor AAM. To achieve the unification across pose variations, a strategy for dealing with self-occluded faces is proposed to obtain consistent shape and texture representations of pose-varied faces. In addition, our UT-AAM is capable of constructing the model from an incomplete training dataset, using tensor completion methods. Last, we use an effective cascaded-regression-based method for UT-AAM fitting. With these advancements, the utility of UT-AAM in practice is considerably enhanced. As an example, we demonstrate the improvements in training facial landmark detectors through the use of UT-AAM to synthesise a large number of virtual samples. Experimental results obtained on a number of well-known face datasets demonstrate the merits of the proposed approach.
Another way to modify the model structure is to rely on different underlying methods. The representation capacity of a PCA-based AAM, constructed from a small number of training samples, is limited. For unseen faces, the PCA-based model may miss some details and in consequence it is not able to represent complex faces faithfully. To cope with this issue, more advanced techniques, kernel methods @cite_25 @cite_23 @cite_27 and Deep Boltzmann Machines @cite_13 @cite_36 , have been suggested for model construction. Note that this limitation can also be addressed by using more PCA components trained from more samples with a wide range of appearance variations, as demonstrated by @cite_4 @cite_65 . Besides the representation capacity of AAM, a more important issue is how to construct a compact and structural model. A common way to do this is to use multi-view models, the View-based AAM (V-AAM) @cite_10 @cite_23 . However, this strategy is resource- and time-consuming because we have to construct, store and fit multiple models to a face. As an alternative, Bilinear AAM (B-AAM) constructs a unified model across pose variations @cite_66 . Nevertheless, both V-AAM and B-AAM can only deal with a single variation type among pose, expression and illumination modes.
@cite_4 @cite_36 @cite_10 @cite_65 @cite_66 @cite_27 @cite_23 @cite_13 @cite_25
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The "interpretation through synthesis" approach to analyze face images, particularly Active Appearance Models (AAMs) method, has become one of the most successful face modeling approaches over the last two decades. AAM models have ability to represent face images through synthesis using a controllable parameterized Principal Component Analysis (PCA) model. However, the accuracy and robustness of the synthesized faces of AAM are highly depended on the training sets and inherently on the generalizability of PCA subspaces. This paper presents a novel Deep Appearance Models (DAMs) approach, an efficient replacement for AAMs, to accurately capture both shape and texture of face images under large variations. In this approach, three crucial components represented in hierarchical layers are modeled using the Deep Boltzmann Machines (DBM) to robustly capture the variations of facial shapes and appearances. DAMs are therefore superior to AAMs in inferencing a representation for new face images under various challenging conditions. The proposed approach is evaluated in various applications to demonstrate its robustness and capabilities, i.e. facial super-resolution reconstruction, facial off-angle reconstruction or face frontalization, facial occlusion removal and age estimation using challenging face databases, i.e. Labeled Face Parts in the Wild (LFPW), Helen and FG-NET. Comparing to AAMs and other deep learning based approaches, the proposed DAMs achieve competitive results in those applications, thus this showed their advantages in handling occlusions, facial representation, and reconstruction. The “interpretation through synthesis”, i.e. Active Appearance Models (AAMs) method, has received considerable attention over the past decades. It aims at “explaining” face images by synthesizing them via a parameterized model of appearance. It is quite challenging due to appearance variations of human face images, e.g. facial poses, occlusions, lighting, low resolution, etc. Since these variations are mostly non-linear, it is impossible to represent them in a linear model, such as Principal Component Analysis (PCA). This paper presents a novel Deep Appearance Models (DAMs) approach, an efficient replacement for AAMs, to accurately capture both shape and texture of face images under large variations. In this approach, three crucial components represented in hierarchical layers are modeled using the Deep Boltzmann Machines (DBM) to robustly capture the variations of facial shapes and appearances. DAMs are therefore superior to AAMs in inferring a representation for new face images under various challenging conditions. In addition, DAMs have ability to generate a compact set of parameters in higher level representation that can be used for classification, e.g. face recognition and facial age estimation. The proposed approach is evaluated in facial image reconstruction, facial super-resolution on two databases, i.e. LFPW and Helen. It is also evaluated on FG-NET database for the problem of age estimation. The active appearance model (AAM) is a well-known model that can represent a non-rigid object like the face effectively. However, the AAM often fails to converge correctly when the illumination conditions of face images change largely because it uses a set of fixed appearance basis vectors that are usually obtained in a training phase. To overcome this problem, we propose an adaptive AAM that updates the appearance basis vectors with the current face image by the incremental principal component analysis (PCA). However, the update of the appearance basis vectors with ill-fitted face images can worsen the AAM fitting to the forthcoming face images. To avoid this situation, we devise a conditional update method that updates the appearance basis vectors when the AAM fitting is good and the AAM reconstruction error is large. We evaluate the goodness of AAM fitting in terms of the number of outliers. When the AAM fitting is good we update the online appearance model (OAM) parameters, where the OAM is taken to keep the variation of input face image continuously, and also evaluate the goodness of the appearance basis vectors in terms of the magnitude of AAM reconstruction error. When the appearance basis vectors of the current AAM produces a large AAM reconstruction error, we update the appearance basis vectors using the incremental PCA. The proposed conditional update of the appearance basis vectors stabilizes the AAM fitting and improves the face tracking performance especially when the illumination condition changes very dynamically. Experimental results show that the adaptive AAM is superior to the conventional AAM in terms of the occurrence rate of fitting error and the fitting accuracy. We address the pose mismatch problem which can occur in face verification systems that have only a single (frontal) face image available for training. In the framework of a Bayesian classifier based on mixtures of gaussians, the problem is tackled through extending each frontal face model with artificially synthesized models for non-frontal views. The synthesis methods are based on several implementations of maximum likelihood linear regression (MLLR), as well as standard multi-variate linear regression (LinReg). All synthesis techniques rely on prior information and learn how face models for the frontal view are related to face models for non-frontal views. The synthesis and extension approach is evaluated by applying it to two face verification systems: a holistic system (based on PCA-derived features) and a local feature system (based on DCT-derived features). Experiments on the FERET database suggest that for the holistic system, the LinReg-based technique is more suited than the MLLR-based techniques; for the local feature system, the results show that synthesis via a new MLLR implementation obtains better performance than synthesis based on traditional MLLR. The results further suggest that extending frontal models considerably reduces errors. It is also shown that the local feature system is less affected by view changes than the holistic system; this can be attributed to the parts based representation of the face, and, due to the classifier based on mixtures of gaussians, the lack of constraints on spatial relations between the face parts, allowing for deformations and movements of face areas.