1. Introduction
In the 1970s, Swedish anatomist Carl-Herman Hjortsj designed a Facial Action Coding System (FACS), which decomposes human's facial activities through facial expressions[1]. The basic components of FACS are Action Units (AUs), which describe the states of facial muscle movements and provide micro-information for the facial expression. Therefore, AU recognition plays an important role in the fields of facial expression recognition, mental state analysis, etc.
With the increasing demands for the intelligent life, high-quality human-computer interaction experience is the goal of many research fields. By analyzing the facial expressions, we can better capture the mental state of users and the robot will be more user-friendly. From the perspective of anatomy, the diversity and complexity of facial muscle movements lead to a variety of facial expressions. However, the current approaches on the facial expression recognition mainly focus on the six basic facial expressions, which are happiness, sadness, surprise, anger, fear and disgust. Although the trained classifier for each basic facial expression can achieve accurate basic facial expression recognition[2], they cannot perform well for a variety of complex facial expressions. Since AUs can describe facial muscle movements, the states of them are highly related to the facial expressions. Therefore, we can get effective information for the complex facial expression according to the AU recognition.
AUs also play an important role in the research of the behavioral science. They can accurately describe the minor differences among facial expressions. According to AUs, we can accurately judge the mental states of humans, such as fatigue, irritability, confusion, etc. And then improve the effects for safe driving, Internet education, medical diagnosis and other fields[3、4、5、6、7]. However, the cost of manual AU recognition is very expensive. It takes 100 hours to train an AU recognition worker and 2 hours for a skilled AU recognition worker to annotate a one-minute video[3]. In addition, there is a lot of useful information about the dynamic change of AUs, but it is hard to analyze them manually. The AU recognition is significant and valuable as many challenges need to be solved.
After reviewing and analyzing the researches on the AU recognition in recent years, this paper proposes a 3D Convolutional Neural Network (CNN) AU recognition framework, which can achieve accurate AU recognition by considering AU co-occurrence relationships. In general, the contributions of the proposed approach can be summarized as follows.
1. According to the association between AUs and expressions of FACS, the proposed framework selects the AUs with the expression degree of 70% or more, and performs AU image segmentation on the original face image to preprocess facial expression images;
2. We proposes an AU recognition framework based on the co-occurrence relationships of AUs. Specifically, the proposed framework extracts the spatiotemporal features of the AU image sequence by using the 3D CNN; and synchronously trains the 13 AU recognition models by using the same objective function and the AU co-occurrence relationship constraints.
3. The comparison experiments between 2D and 3D CNN based AU recognition models as well as between AU recognition models with and without considering AU co-occurrence relationships are conducted. The experimental results indicate that our 3D CNN and AU co-occurrence relationship based AU recognition framework can improve the accuracy of the AU recognition significantly;
The rest of the paper is organized as follows. In Section 2 the works related to the AU recognition are given. In Section 3, the AU and their co-occurrence relationships are demonstrated. In Section 4, our AU recognition framework is introduced in details. In Section 5, the experiments are illustrated and their results are analyzed. This paper is concluded in Section 6.
2. Related Work
In computer vision researches, the two-dimensional convolution is a general algorithm. However, when the learning tasks are video data, dynamic information between multiple consecutive video frames is required. In order to extract dynamic features, Ji [58] et al. used three-dimensional convolution in the convolution phase of CNN to achieve the feature extraction from both spatial and temporal dimensions. Fig. 1 shows the structure of the three-dimensional convolutional neural network proposed by Ji et al.
Fig. 1. The structure of the three-dimensional convolutional neural network
The three-dimensional convolution uses a three-dimensional convolution kernel to extract spatiotemporal features from a cube which is stacked by the consecutive video frames. It allows the feature map in the convolutional layer to be connected to a plurality of consecutive video frames in the previous layer, so as to capture the motion information in the video.
Fig. 2 shows the comparison between (a) a two-dimensional convolution and (b) a three-dimensional convolution. In the three-dimensional convolution, there are three convolution kernels for the temporal dimension. Since the weights of three-dimensional convolution kernels are shared in the whole video data cube, the same three-dimensional convolution kernel can only extract one feature from the cube (Fig. 2). The same color of the lines indicates that the convolution kernels have the same weight values. Therefore, if multiple features need to be extracted, multiple convolution kernels can be used for the feature extraction.
Fig. 2. The comparison between two-dimensional convolution and three-dimensional convolution
American psychologists Paul Ekman and Wallace V. Friesen summarized and further improved Carl-Herman Hjortsjs's work and proposed the FACS 2002[8].
The AU recognition has always been a very challenging subject in the computer vision field. With the development of the psychology and human-computer interaction in recent years, more and more researchers begin to pay attention to the AU recognition. Although there are a lot of related research works on the AU recognition, it is very difficult to achieve the high precision AU recognition, because of the complexity and diversity of the AU occurrence.
Bartlett [9] et al. proposed a combination of support vector machine (SVM) and hidden Markov machine (HMM) based AU recognition method for the AU recognition of AU images and AU image sequences. The proposed method first trains the SVM by using image data with strong AU features, then extracts the AU features from each frame image in the AU image sequence by using the trained SVM, and finally uses the features extracted by the SVM as the inputs of the HMM to train the HMM for the AU Identification. The experiments have proved that their method has better recognition effect than the AU recognition approaches that only use SVM. Pantic[10、11] et al. proposed an approach to analyze the dynamics of the AU by extracting the geometric features from the front and side of faces. Their approach identifies 27 AUs based on the dynamics and rules of the AU. Some researchers extracted Gabor features from AU images and used SVM, HMM, Adaboost, DBN and neural networks as the classifiers for the AU recognition and verified the effectiveness of these classifiers on the AU datasets, such as CK and MMI [12、13、14、15、16].
3. AU and AUs' Co-occurrence
3.1 Construction
In FACS 2002, many detailed analyses have been performed. Such as the changes of facial muscle movements and the observable expressions caused by these facial muscle movements. According to these analyses, facial muscle movements are divided into some basic AUs. Parts AUs of FACS 2002 are shown in Table 1.
Table 1. Parts AUs of FACS 2002
According to the correlation between AUs and six basic facial expressions in FACS, 13 AUs with a correlation of more than 70% with six basic facial expressions were selected in this study, which are
shown in Table 2. The 13 AUs are mainly distributed around eye-brow, nose and lip regions. Among them, AU1, AU2, AU4 and AU7 describe the muscle movements around eyes' and brows' regions. AU9 and AU17 describe the muscle movements around nose regions. AU10, AU12, AU15, AU20, AU24, AU25 and AU26 describe the muscle movements around lip regions.
Table 2. The descriptions of 13 AUs
3.2 AUs' Co-occurrence
Through the detailed introduction of FACS, it can be seen that the states of AUs can help us to understand the human facial expressions and the movement of each AU is controlled by one or a group of facial muscles. Therefore, some AUs may have co-occurrence relationships. Combined with the results of facial anatomy, it can be found that some AUs often appear at the same time, while some AUs rarely appear at the same time. Since AUs are controlled by facial muscles, their co-occurrence should rely on the facial anatomy. The muscle movement caused AUs co-occurrence is called the expression-independent dependency between AUs, which consists of two parts: positive co-occurrence and negative co-occurrence.
Positive co-occurrence refers to the simultaneous occurrence of certain AUs, because they are controlled by the same or adjacent muscles. For example, AU1, which is the inner brow raiser, and AU2, which is the outer brow raiser, are controlled by occipitofrontal muscle. The tail contraction of occipitofrontal muscle causes AU2, and the middle contraction of occipitofrontal muscle causes AU1. Since the contraction of the tail part of the occipitofrontal muscle usually occurs simultaneously with that of the middle part of the occipitofrontal muscle, the occurrence of AU2 increases the chance of AU1 occurrence. Therefore, AU1 and AU2 are positive co-occurrence.
On the other hand, negative co-occurrence refers to the fact that some AUs rarely or never appear at the same time. Table 3 summarizes the positive co-occurrence and negative co-occurrence of AUs in FACS. For example, AU12, which is the lip corner puller, is controlled by the zygomaticus Major muscle group, and AU15, which is the lip corner depressor, is controlled by the anatomical angular muscle group. Obviously, it is impossible for the two AUs to appear simultaneously, since the contraction of zygomatic major muscle constricts the movement of descending oral horn muscle. The occurrence of AU12 reduces the occurrence of AU15. Therefore, AU12 and AU15 are negative co-occurrence. Table 3 summarizes the positive co-occurrence and negative co-occurrence of AUs in FACS.
Table 3. The AU dependencies
4. AU Recognition Framework
The overall architecture of the proposed AU recognition framework is shown in Fig. 3. In our framework, first, the facial image is segmented to obtain AU regional image data. In order to ensure the accuracy of the AU feature extraction, three kinds of AU recognition models are set up according to recognition regions. Then, AU regional image data are the inputs of three AU recognition models. Finally, three types of AU recognition models are constrained by the co-occurrence relationships of AUs in the training process of the AU recognition models. Thus, AU features can be supplemented and modified by the AUs co-occurrence in the AU recognition process.
Fig. 3. The comparison between two-dimensional convolution and three-dimensional convolution
As shown in Fig. 3, the overall architecture of our framework includes two parts: an AU regional image obtaining process and 13 AU recognition models. The AU regional image obtaining process obtains the regional AU images from facial images. The 13 AU recognition models are trained to recognize the AUs in the corresponding regions by considering their co-occurrence relationships.
4.1 The preprocess module
In this module, the facial image is segmented according to the existing 68 feature points. The 68 feature points of a human face are shown in Fig. 4.
Fig. 4. 68 feature points of a face
Assuming that the AU recognition region is represented by _regionAU, which is a rectangular region. The location of the region is determined by the _(x,y)lefttopxyand _(x,y)rightbottomxy which are the vertices of the upper left corner and the lower right corner of the rectangle. According to the location distribution of 68 feature points, we selects 18, 20, 27 and 29 feature points (shown in Fig. 4) as the AU region around eyes and brows, 18, 29, 27 and 34 feature points (shown in Fig. 4) as the AU region around the nose and 20, 34, 25 and 9 feature points (shown in Fig. 4) as the AU region around the lip. _1(x,y)featurepxy, _2(x,y)featurepxy, _3(x,y)featurepxy and _4(x,y)featurepxy are used to represent the four feature points selected for each facial region. The _(x,y)lefttopxy and _(x,y)rightbottomxy are the vertices of the upper left corner and the lower right corner of _regionAU, which are calculated by Equations 1 to 4.
left_top.x = feature_p1.x2 (1)
left_top.y = feature_p2.y2 (2)
right_bottom.x = feature_p3.x + 2 (3)
right_bottom.y = feature_p4.y + 2 (4)
where left_top.x and left_top.y represent the x coordinate of the upper left corner vertex and the y coordinate of the upper left vertex of the region _AU.right_bottom.x and right_bottom.y represent the x coordinate of the lower right corner vertex and the y coordinate of the lower right corner vertex of the region_AU..feature_pl.x, feature_p2.y, .feature_p3.x and feature_p4.y represent the x coordinates of feature_p1 and featue_p3 and the y coordinates of feature_p2 and feature_p4 are selected for the facial region, respectively.
AU regional image obtaining process mainly includes three parts: Locating 68 feature points from a facial image by Dlib facial feature points; Selecting feature points to locate _regionAUaccording to detailed description of AU in FACS. Segmenting the facial image according to the selected feature points. The locations of 68 feature points in a facial image are shown in Fig. 5.
Fig. 5. The locations of 68 feature points
According to the detailed AU description of FACS, the face feature points of _regionAUare selected and located, the process of which is shown in Fig. 6.
Fig. 6. Location of AU region
In Fig. 6, the three colored areas (yellow, green and orange) are the facial feature point region (i.e., _regionAU). The orange area with triangles as the vertices represents the eye-brow region. The green area with pentagons as the vertices represents the nose region. The yellow area with circles as the vertices represents the lip region.
The AU regional image obtaining of three-dimensional AU region image sequences is shown in Fig. 7.
Fig. 7. The AU regional image obtaining of 3D images
4.2 The AU Recognition Models
Based on the 2D AU regional image obtaining in Section 4.2, a 2DCNN_AU recognition model for the 2D AU regional image recognition is designed. The structure of the model is shown in Fig. 8. The model consists of two modules: the convolution feature extraction module and the AU classification module. The convolution feature extraction module includes four convolution layers and four pooling layers, which is used to extract the convolution features of the input 2D AU regional images. The AU classification module includes a feature stretching layer and a full connection layer. And a sigmoid classification layer is connected at the end of the network.
Fig. 8. The structure of 2DCNN model for the AU recognition
In addition, the co-occurrence relationship constraints of AUs are added to the AU recognition model to provide auxiliary information for the AU recognition and improve the recognition effect of AU. Due to the biological structural interconnection among facial muscles, there exists evitable co-occurrence among AU pairs with the movement of facial muscles. In order to make full use of this prior knowledge of AU co-occurrence relationship in the data-driven based AU recognition, we propose in this paper adding an additional AU co-occurrence relationship fusion layer after thirteen independent 3DCNN-based AU classifier layers. As shown in the below formula, the prediction rate of ith AU is calculated with counting of the occurrence rate of relative AUs. By weighting with co-occurrence rate of relative AUs, the certainty of AU determination will be increased with taking account of the fact that strongly related AU happens at same time with high possibility. Therefore, with our proposed co-occurrence relationship constraint method into the CNN network, the 13 AU recognition CNN networks are integrated as a whole with the more robust AU recognition results.
\(\bar{p}\left(A U_{i}\right)=\sum_{j \in D_{i}} w_{i j} \hat{p}\left(A U_{j}\right)\) (5)
Where, #(AUi) represents the predicted probability of the j-th AU obtained by the j-th AU classifier, and wij represents the co-occurrence relationship between the i-th AU and the j-th AU. Di is a set, whose elements are all AUs that have a co-occurrence relationship with AUi, and #(AUi) is the predicted probability of the final fusion of AU symbiosis.
Based on the above itegrated fusion network, the co-occurrence relationship constraints of AUs are hereby proposed to be added to the loss function of the AU recognition model, which are used in jointly training of the 13 AU classifiers as the auxillary information for the AU recognition model.
For the loss function of the model, we consider the error between results and labels and the co-occurrence relationships among 13AUs. The loss function of AU recognition model is shown in Equation 5:
\(\text { Loss_au }_{i}=L\left(y_{i} \cdot \hat{y}_{i}\right)-\sum_{j=1}^{13} y_{j} \cdot d_{i}\) (6)
where L(•) denotes the cross-entropy loss function in the form of Equation 6:
\(L\left(y_{i} \cdot \hat{y}_{i}\right)=[y \cdot \log \hat{y}+(1-y) \cdot \log (1-\hat{y})]\) (7)
In Equations 6 and 7, i represents the predicted value of the ith AU. y represents the predicted value of the ith AU classifier. # represents the real value of the AU image to be predicted. j represents the predicted value of the jth AU classifier. yi represents the predicted value of the jth AU classifier. And dij represents the co-occurrence relationship between the ith AU and the jth AU.
Based on the 3D AU regional image sequence obtain in section 4.2, we designed a 3DCNN_AU recognition model for the 3D AU regional image sequence recognition. The structure of the model is shown in Fig. 9. The overall architecture of the 3DCNN_AU recognition model is consistent with the 2DCNN_AU recognition model. The model includes convolution feature extraction module and an AU classification module. However, since the 3DCNN_AU recognition model needs the AU recognition for 3D AU regional image sequence, it adopts 3DCNN structure. which enables the model to extract the 2D structure information from AU regional image sequence as well as the third dimension of AU image sequence-time dimension feature information. Compared with 2DCNN_AU recognition model, 3DCNN_AU recognition model increases the extraction of time-varying features of AU image sequence when extracting features. In theory, the recognition effect of 3DCNN_AU recognition model should be better than that of 2DCNN_AU recognition model.
Fig. 9. The architecture of 3DCNN model for the AU recognition
The architecture of the training process of the AU recognition model is shown in Fig. 10.
Fig. 10. The training process of our AU recognition model
As shown in Fig. 10, the training process of our AU recognition model mainly includes two processes: 1) Extracting convolution features of AU block image and recognizing AU according to the extracted features and 2) Comparing the recognition results with the real AU label to get the loss value of the AU recognition model and adjusting the model through the loss reverse. The AU recognition model is a multi-classification model. The model is composed of 13 binary AU classifiers, which share a joint objective function for the synchronous training. The output of the 13 AUs classifiers is a vector, which is shown in Equation 7.
outputaus =(au1. au2, .... , aui, ......au13) (8)
where aui represents the output of the first AU classifier and outputaus represents the comprehensive output of 13 AUs classifiers. The real AU labels of an expression image is described by the vector form, which is shown in Equation 8.
yaus =(y1au,y2au,...yiau,....y13au) (9)
where # denotes the real label of the first AU with a value of 0 (AU does not appear) or 1 (AU appear). The simultaneous training of 13 AUs classifiers uses union objective functions, which is shown in Equation 9.
\(\text { Loss }=\operatorname{ave}\left(\sum_{i=1}^{13} \text { Loss }_{-} a u_{i}\right)\) (10)
where, Loss_aui is the loss function of a single AU classifier described in Equation 5. In Loss_aui, yi∈ outputdaus and # ⋅Loss is a joint objective function of 13 AUs classifiers, which combines the recognition results and losses of each AU and integrates the co-occurrence relationships among AUs into the objective function. By doing so, the objective function makes the co-occurrence relationships among AUs to play an effective role in the training of the AU recognition model and effectively improve some of the phenomena of poor recognition effect of AU.
5. Experiment
5.1 Database and Preprocess
The data set used in this experiment is CASME database designed by Fu Xiaolan team of Institute of Psychology, Chinese Academy of Sciences in 2013 and CAS (ME) 2 database designed by the team in 2014. The CASME database contains 195 micro-expression videos of 35 subjects (13 women and 22 men). The temporal resolution of the database is 60 frames per second, the image resolution is 640*480, and the resolution of the facial region is 150*190. CAS (ME) 2 database contains 57 microfacial videos from 22 subjects. The temporal resolution of the database is 30 frames per second and the image resolution is 640*480. Both databases contain expression tags and AU tags. Examples of expression images in CAEME series databases are shown in Fig. 11.
Fig. 11. Samples of CASME
Since the proposed AU recognition model is divided into 2D AU recognition model and 3D AU recognition model, it is necessary to process the original video data into two formats of AU regional image data sets when using CASME series databases. For the 2D AU recognition model, the expression peak frame in the original video data is selected as the image data to be used. For the 3D model, seven consecutive image sequences near the expression peak frame in the original video data are selected as the image sequence data to be used. The AU samples obtained after pretreatment of CASME series data sets are shown in Table 4.
Table 4. Sample size of AU images
5.2 Experiment Design and Results
In order to verify the effectiveness of the proposed AU recognition method based on the constraints of AUs’ correlation, two sets of comparative experiments are designed and implemented.
1. The comparative experiment between AU recognition model based on 2DCNN and AU recognition model based on 3D CNN.
2. The comparative experiment on the recog- nition effect of the AU recognition model based on the constraints of the symbiotic relationship between AUs and the AU recognition model without considering the AUs’ correlation.
Two evaluation indexes, Accuracy and AUC, are selected to analyze the effects of 2DCNN_AU recognition model and 3D CNN_AU recognition model on 13 AUs.
Tables 5 and 6 show the classification results of 13 AU data in CASME library using 2D CNN_AU recognition model and 3D CNN_AU recognition model respectively. Through the analysis of the recognition results of the two AU recognition models, we can find that the recognition accuracy of the other 11 AUs is over 83%, and the recognition accuracy of eight AUs is over 92%, except for AU4 and AU12.
Table 5. Statics of results of 2DCNN_AU recognition model
Table 6. Statics of results of 3DCNN_AU recognition mode
AU4 is defined in FACS as lowering eyebrows. In the macroscopic expression, the characteristics of this muscle movement change more obviously (as shown in Fig. 12a), which includes the prominent features of muscle texture caused by the muscle contraction in the middle of two eyebrows and the obvious decrease of eyebrow position. But in micro-expressions, these characteristics of muscle movement are not evident (as shown in Fig. 12b). Similarly, the pull-up of the corners of the mouth and the prominent features of the statutory lines in AU12 are not evident in micro-expressions.
Fig. 12. The changed feature figure of AU4 in macro-expression and micro-expression
Through the statistics of the recognition results of two AU recognition models in Tables 5 and 6, the recognition accuracy of the two models is compared with that of AUC. As shown in Fig. 13.
Fig. 13. Comparison of accuracy between 2D model and 3D model
Through the display of Fig. 13, it can be clearly seen that the recognition accuracy of the 3D AU recognition model for 13 kinds of AUs is improved as a whole compared with that of the 2D AU recognition model. Especially in AU4 and AU12, which have low recognition effect, the recognition accuracy of 3D model is 16% and 7% higher than that of 2D model. Through comparative analysis, it can be seen that the temporal features extracted by 3D convolution neural network play an effective role in the AU recognition of microfacial datasets compared with 2D convolution neural network, and can help improve the recognition effect of AU.
In order to better analyze the recognition effect of the two AU recognition models, the AUC of the recognition results of the two AU recognition models on 13 AUs is counted. The statistical results are shown in Fig. 14.
Fig. 14. Comparison of AUC between 2D model and 3D model
Among them, the blue part indicates that AUC is between 0.8 and 1.0. The green part indicates that AUC is between 0.6 and 0.8. And the yellow part indicates between 0.4 and 0.2. According to the introduction of AUC evaluation index in the front part of this section, the bigger the AUC of the model, the better the recognition effect. Combining the model recognition results shown in Tables 5 and 6, it can be seen that the 2D AU recognition model and the 3D AU recognition model perform well on these 13 AUs. This further proves that the convolution feature of AU image and the temporal feature of AU image sequence can be effectively applied to AU recognition tasks.
The experimental results of the 2D and 3D AU recognition model show that the convolution features of AU images and the temporal features of AU image sequences contain the key feature information of AU. So the model can be effectively described by using these features. However, we also find that only relying on these features for AU recognition will not do well on a variety of AU data through the above experimental results. In order to handle this problem, we introduces the idea of correlation among AUs into AU recognition model. And trains 13 AU recognition models synchronously by using the AUs’ correlation. The statistical analysis results between with and without considering co-occurenced relationship with 3D and 2D respecitvely are shown in Fig. 15.
Fig. 15. Accuracy Comparison of AU recognition models
From the comparison results shown in Fig. 15, it could be found that adding the additional AU co-occurrence relationship fusion layer, most thirteen AUs recognition accuracy rate and the average recognition rate with both 2D and 3D models are higher than that without counting the co-occurrence realationship. Among them, the recognition accuracy rate of AU4 and AU12 especially increased by 16% and 12% respectively. Analysis the reason, there exits strong positive symbiotic relationship between AU4 and AU7, and between AU4 and AU9 in the AU co-occurrenc relationship among AU pairs.Therefore the recognition accuracy of undiscriminable action unit AU4 is greatly increased by taking account of the positive symbiotic relationship with discrimative AU7 and AU9, which have the good recognition results independently. Similar contribution in improving the recogntion rate even when the relationship is negative. Like we find that there is a strong negative AU co-occurrence relationship between AU12 and AU15, AU12 and AU17. Therefore the recognition accuracy of AU12 is also greatly improved with impacting by the high recognition results of AU15 and AU17.
Above all, the experiments results demostrates that the additional AU co-occurrence relationship fusion layer plays an effective role in AU recognition on the micro-expression dataset. With counting the corraltive relationship among AUs, the recognition performance of AUs improves significantly, especially of those small unobtrusive actions correlative with some other easily detective AUs.
6. Conclusion
In this paper, we present an interactive method to manipulate a 3DCNN model and AUs' co-occurrence for AU recognition. 3DCNN is used to extract temporal and spatial features of image sequences, and AUs' co-occurrence are used to restrict the training of multiple AU classifiers, which enriches the feature information of AU. Finally, experiments show that the AU recognition model proposed in this paper have good performance in recognition accuracy. The main research work of this paper is as follows:
1. We selected 13 AUs (AU1, AU2, AU4, AU7, AU9, AU10, AU12, AU15, AU17, AU20, AU24, AU25 and AU26) with more than 70% of the correlation degree between AU and facial expression based on Facial Action Coding System (FACS).
We proposed an AU recognition algorithm based on AUs' co-occurrence. Referring to the state description and feature analysis of AU in FACS, this paper uses Dlib's face key point detection algorithm to locate facial feature points and determine the AU segmentation area. The spatial and temporal features of AU image sequences are extracted by using 3D CNN, and AUs' co-occurrence are added to the training process of AU classification network. Experiments on CASME databases show that the proposed algorithm based on AUs' co-occurrence has good performance in recognition accuracy and recall rate. The comparison of recognition effect between 2DCNN AU recognition model and 3D CNN AU recognition model proves that temporal feature plays an important role in improving the recognition effect of AU. The AUs' co-occurrence plays an important role in improving the accuracy of AU with inferior recognition accuracy.
References
- Hjorztsjo, Man's face and mimic language, Studentlitteratur, Lund, 1970.
- Fasel B, Luettin J, "Automatic facial expression analysis: a survey," Pattern Recognition, Vol 36, No.1, pp. 259-275, 2003. https://doi.org/10.1016/S0031-3203(02)00052-3
- Bartlett M S, Littlewort G C, Frank M G, et al, "Automatic recognition official actions in spontaneous expressions," Journal of Multimedia, Vol 1, No.6, pp.22-35, 2006.
- Ekman P, Davidson R J, Friesen W V, "The Duchenne smile: emotional expression and brain physiology II," Journal of Personality and Social Psychology, Vol 58, No.2, pp. 342-353, 1990. https://doi.org/10.1037/0022-3514.58.2.342
- Ekman P, Rosenberg E L, What the face reveals: basic and applied studies of spontaneous expression using the facial action coding system (FACS), Oxford University Press, New York, 1997.
- Frank M G, Ekman P, "Appearing truthful generalizes across different deception situations," Journal of Personality & Social Psychology, Vol 86, No.3, pp. 486-495, 2004. https://doi.org/10.1037/0022-3514.86.3.486
- Bartlett M S, Face image analysis by unsupervised learning and redundancy reduction, University of California, San Diego, 1998.
- P. Ekman and W. Friesen, "Facial Action Coding System: A Technique for the Measurement of Facial Movement," Facial Action Coding System (FACS), 1978.
- BARTLETT M S, MOVELLAN J R, LITTLEWORT G, et al, "Towards automatic recognition of spontaneous facial actions," Oxford University Press, New York, 393-412, 2005.
- PANTIC M, ROTHKRANTZ L J M, " Facial Action Recognition for Facial Expression Analysis From Static Face Images," IEEE TRANSACTIONS ON CYBERNETICS, 34(3), 1449-1461. 2004. https://doi.org/10.1109/TSMCB.2004.825931
- BARTLETT M S, LITTLEWON G C, FRANK M G, et al, " Automatic recognition of facial actions in spontaneous expressions," Journal of Multimedia, 1(6), 22-35, 2006.
- COHN J F, KANADE T, MORIYAMA T, et al, "A comparative study of alternative FACS coding algorithms," CMU Final Report: FACS Coding Algorithms, 2001.
- BARTLETT M S, BRAATHEN B, GWEN L F, et al, Automatic analysis of spontaneous facial behavior: a final project report, university of California, San Diego, 2001.
- SMITH E, BARTLETT M S, MOVELLAN J, "Computer recognition of facial actions: a study of co-articulation effects," in Proc. of the 8th Symposium on Neural Computation, La Jolla, 1-6, 2006.
- TONG Y, LIAO W, JI Q, "Facial Action Unit Recognition by Exploiting Their Dynamic and Semantic Relationships," IEEE Transactions on Pattern Analysis and Machine Intelligence, 29(10), 1683-1699, 2007. https://doi.org/10.1109/TPAMI.2007.1094
- CAMPOS C P, TONG Y, JI Q, "Constrained Maximum Likelihood Learning of Bayesian Networks for Facial Action Recognition," in Proc. of European Conference on Computer Vision, Springer-Verlag, 168-181, 2008.