Complexity / 2019 / Article

Research Article | Open Access

Volume 2019 |Article ID 2619252 | 12 pages |

A New Intelligent Fault Diagnosis Method of Rotating Machinery under Varying-Speed Conditions Using Infrared Thermography

Academic Editor: Mahardhika Pratama
Received18 Apr 2019
Revised15 Jun 2019
Accepted29 Jul 2019
Published19 Aug 2019


A novel systematic framework, infrared thermography- (IRT-) based method, for rotating machinery fault diagnosis under nonstationary running conditions is presented in this paper. In this framework, IRT technique is first applied to obtain the thermograph. Then, the fault features are extracted using bag-of-visual-word (BoVW) from the IRT images. In the end, support vector machine (SVM) is utilized to automatically identify the fault patterns of rotating machinery. The effectiveness of proposed method is evaluated using lab experimental signal of rotating machinery. The diagnosis results show that the IRT-based method has certain advantages in classification rotating machinery faults under nonstationary running conditions compared with the traditional vibration-based method.

1. Introduction

Monitoring the health condition, prognostics the possible faults can be of importance for the safety operation of rotating machinery. To achieve this purpose, vibration signal is the most commonly used signal resource and the most widely applied method [17]. The recent progress of the vibration-based fault diagnosis can be reviewed from Ref. [811]. However, the vibration-based method confronts challenges when the rotating machinery operates under varying-speed conditions [1214] because the obtained vibration signal represents complex nonstationary characteristics, such as frequency modulation, amplitude modulation, and phase modulation, resulting in the difficulty of fault frequency detection. Moreover, it is not allowed to install a vibration transducer onto the machinery due to the cost, environment, and space restrictions [15]. To overcome such defects, the most achievable way is to find alternative signal source to accomplish the health monitor of rotating machinery.

The rapid advanced technique developments of measurement and instrumentation bring convenience for the fault diagnosis. Nowadays, various of sensors have been developed in the fault diagnosis field, including acoustic sensors [9, 16], sound emission sensors [17], current transducers [18], and rotating encoders [15]. However, these sensors have their own limitations in the real applications [9]. Therefore, an alternative signal source which can avoid the common defects of the above mentioned sensors may result in a revolution for the health condition monitoring of mechanical equipment under nonstationary running conditions. Nowadays, the infrared thermography (IRT) technique raises increasing attention in the fault diagnostic field [9, 1922]. IRT-based method is considered as a promising noninvasive technique to diagnose the various faults and guarantee the safety operation [23].

IRT is a noncontact technique for temperature acquisition, which has been widely used in aerospace [24], medical [25], freeze-drying [26], cultural heritage [27], and energy saving [28, 29]. Recent researches have demonstrated that IRT images also contain rich diagnostic information [24, 30, 31]. Glowacz et al. utilized method of area selection of states (MoASoS) based on IRT images to identify different stator faults of the single-phase induction motor [32]. Janssens et al. adopted three features (standard deviation of the temperature, the Gini coefficient, and the moment of light) to extract fault features from the IRT images. Then the support vector machine (SVM) is used to automatically identify fault patterns of rolling bearings [33]. Younus Janssens et al. proposed an integrated method based on discrete wavelet transform, feature selection tool, and two classifiers using the IRT images [34].

In comparison with the traditional vibration-based methods, the IRT-based fault diagnosis method has some main advantages. First, IRT-based method has the merits of easy-of-setup, noncontact, and nonintrusive. It will not cause surface damage to the subject when it works. Second, IRT-based method has the advantage of high-scalability. A high-definition IRT camera can synchronously monitor multiple objects. However, one accelerometer can barely monitor the entire large-scale equipment due to the limitation of long transition path. Third and most important, IRT is immune to the influence of nonstationary running operations. However, vibration-based method is difficult to deal with the vibration signal with heavy strong noise, especially when they are working under nonstationary running conditions. Furthermore, prior knowledge is free for IRT-based fault diagnosis method. When the rotating machinery operates with localized damage, it would excite the higher temperature generated by the friction. This would cause that the IRT images represent different characteristics; thereby, the IRT image-based method can be used to diagnose the various faults of rotating machinery.

There are three stages in the IRT-based diagnostic method: data acquisition, feature extraction, and fault pattern identification. Among these, the key step of success is the fault feature extraction. In this paper, bag-of-visual-word (BoVW) is employed for fault feature extraction [35]. Compared with vibration-based method [36], BoVW preforms better in the fault feature extraction. In the fault pattern identification stage, a classifier is needed to recognize different fault patterns of rotating machinery. In this paper, a widely used multiclass identification method called support vector machine (SVM) is adopted to automatically identify various health conditions. SVM has been proved which has good performance in solving the small sample and nonlinear classification problem [37, 38]. Above all, a novel fault diagnosis method of rotating machinery based on IRT, BoVW, and SVM is proposed in this paper. The proposed method has been proved to be effective in diagnosing various faults of rotating machinery.

This paper is arranged as follows: In Section 2, the basic principle of BoVW is described in detail. The theory of SVM is recalled in Section 3. In Section 4, the roposed method is utilized to identify different fault types of the rotating machinery. Finally, Section 5 draws the conclusion. We note that a shorter conference version of this paper appeared in 2018 International Conference on Sensing, Diagnostics, Prognostics, and Control [39]. The initial conference paper did not address the problem of temperature fluctuation of IRT images. This manuscript addresses this issue and provides additional analysis on the classification accuracies trained by different percentage of samples.

2. Fault Feature Extraction Based on Bag-of-Visual-Words (BoVW)

BoVW is widely applied in image classification. It transforms an image into visual words and then uses a histogram to make the occurrences frequency of the visual words statistical. Such histogram is regarded as the features of a thermal image to distinguish different faults of rotating machinery. BoVW can be obtained by two steps as follows. First, adopt the SIFT method to obtain the visual words from the picked area of the thermographs. Then, the obtained characteristics can be encoded as a histogram by making the occurrences frequency of the visual words statistical. Figure 1 displays the process of the BoVW algorithm.

2.1. SIFT Feature Extraction

Since the whole IRT images of each condition are very similar, they are not sensitive to various faults of rotating machine. Only a few interest regions close to the test bearing in the IRT images are useful for fault diagnosis. To precisely extract the features from thermal images, SIFT was proposed to partition the interest points from the whole IRT images [40]. The detailed description of SIFT is given as follows.

With the help of scale-space extreme in the difference of Gaussian function [41], it is effective to detect the stable locations of the interest points in scale space. The scale space is defined as the convolution of a variable-scale Gaussian function with the original image , which can be expressed aswhere represents the convolution. represents a point in the IRT image.

The Gaussian function can be written as

Via convolving the scale-space extreme using , we can separate the difference of two scales using a multiplicative index , which can be written aswhere represents the convolution.

The local extreme of the function can be detected through accurate localization of interest points. Following the method in [42], Taylor expansion of the scale-space function can be given by Eq.(4).

Following Eq.(4), the inherent fault information can be extracted as the SIFT descriptor. In real application, the above procedure can be conducted in the Open Source Computer Vision Library (OpenCV) environment. In the following study, we set the dimension of feature vectors as 128.

2.2. Feature Encoding and Histogram Generation

Before feature encoding, a representative of several similar interest points called vocabulary is generated using -means clustering [43]. First, a set of clusters is learned by clustering the features extracted from each fault state into a specified vocabulary size. Then, the centers of the learned clusters are defined as the vocabulary. In this paper, a set of 128-dimensional vectors of SIFT feature is given. Through -means clustering, the SIFT vectors are partitioned into different sets such that with minimized intracluster squared summed error (SSE), which is formulated aswhere represents the mean vector in .

Note that the vocabulary size is set to 1000 for better discrimination capability. With this constructed vocabulary , the extracted SIFT features are quantized as the label of the closest cluster [44]. Therefore, an image is abstracted as the frequency counts or histogram of the quantized SIFT features , where denotes the frequency of visual word in the images.

3. Support Vector Machine

Support vector machine (SVM) has been widely accepted in both academia and industry due to its good performance in solving the small sample and nonlinear classification problem [37, 38]. SVM is based on the principle of structural risk minimization, which is able to find the optimal separating hyperplane; thereby, the classification problem is transformed into linearly separable [37]. In this study, SVM is utilized to accomplish the pattern identification.

For a group of sample set , where is sample data and is sample category. The searching for the optimal separating hyperplane can be written into the following functions and constraints in Eq.(6).where denotes the weight vector and represents the bias vector.

In order to assure the higher classification accuracy, the optimization problem can be rewritten using a relaxing factor as expressed in Eq.(7).where denotes the penalty factor and represents the bias vector.

The contradiction between algorithm complexity and classification accuracy can be alleviated through adjusting the parameter . As a result, the optimization problem can be further rewritten aswhere and is the inner product operation. Therefore, the final classification results can be estimated by a decision function as expressed in Eq.(9).

Note that the kernel function plays a crucial role in SVM; radial basis function (RBF) kernel is employed in this paper due to its universal application and good performance [45].where , and and are the kernel parameters. It is worthy noticing that the parameters, penalty parameter and the kernel parameter of SVM, are optimized by Genetic Algorithm (GA) algorithm for each multiclass SVM method. The ranges of and are set as (0.1, 1000) and (0.001, 10) according to Ref. [46].

4. Experimental Validation

To show the effectiveness of the proposed method, we have conducted a series of experiments on the lab experiment called SpectraQuest Machinery Fault Simulator (MFS). The MFS (shown in Figures 2(a) and 3(a)) consists of a drive motor, test bearing and rotor, and a data acquisition system. The test bearing is MB ER-12K (shown in Figure 2). To simulate different bearing fault, five fault types of bearing were used, including normal, ball fault (BF), outer race fault (ORF), inner race fault (IRF), and combination fault (CF). The unbalance state was realized by adding weights, as displayed in Figure 2(b). The setting parameters of the MFS are provided in Table 1. During the experiment, the thermal image is collected using two thermal cameras Hawk-1384, called Camera 1 and Camera 2, as shown in Figure 3(a). The layout of the thermal cameras is shown in Figure 3(b); we can find that Camera 1 focuses on the localized region close to the test bearing and Camera 2 is used to scan the whole rotating machine. The parameters setting of the thermal camera is listed in Table 2. The accelerometer was also mounted on the case of the bearing block to collect the vibration signals for comparison purpose. The sampling frequency was 12800Hz and the rotating speed was linear accelerated from 900 rpm to 3000 rpm. In the experiments, ten healthy conditions were designed, including Normal, BF, ORF, CF, IRF, unbalance fault (UN), outer race fault with unbalance fault (ORFUN), inner race fault with unbalance fault (IRFUN), combination fault with unbalance fault (CFUN), and ball fault with unbalance fault (BFUN). For each health condition, we collect the thermal images using two thermal cameras under varying-speed condition following the detailed steps in Algorithm 1.

Bearing specsMB ER-12K

Number of rolling elements8

Rolling element diameter0.3125 inches

Pitch diameter1.318 inches

Contact angle

Sampling frequency12800Hz

Speed range900RPM to 3000RPM

Angular acceleration175r/s2

Configuration parametersValues

Producer of thermal cameraHawk, China

Image resolution384288

Frame rate25fps

Temperature measurement rangeCC

Environmental temperatureC

Thermal sensitivityC





Step 1: Select health condition
Step 2: The initial temperature of test rig is set to the environment temperature (C in this paper)
Step 3: Heat up the test rig under the constant speed of 3000rpm
Step 4: When the highest temperature of test rig achieves a given temperature (C in this paper), use the thermal
camera to acquire the thermographs under the varying-speed conditions (accelerated from 900rpm to 3000rpm)
Step 5: Cool down the test rig to the environment temperature
Step 6: Select another healthy condition and repeat the steps 1-5 until all the healthy condition collected.

In this experiment, there are 100 samples in each healthy condition. Thus, there are 1000 samples in total. To show the superiority of the proposed IRT-based method, only 6% of samples were used in the training process. The remaining samples were used to test the performance of the proposed method. The detailed numbers of the training samples and testing samples are shown in Table 3.

Fault class Class label Number of training datasets Number of testing datasets

BF 1 6 94

BFUN 2 6 94

CF 3 6 94

CFUN 4 6 94

IRF 5 6 94

IRFUN 6 6 94

Normal 7 6 94

UN 8 6 94

ORF 9 6 94

ORFUN 10 6 94

The thermal images acquisition from Camera 1 and Camera 2 under ten health conditions is shown in Figures 4 and 5, respectively. However, it is difficult to identify the healthy condition through direct observation of the thermographs. This can be attributed to the fact that the difference between the thermal images of each health condition is very small.

First, the SIFT algorithm is adopted to extract fault characteristics from IRT images. Then, we encode the features. In the end, the obtained BoVW features are taken as input of the SVM classifier to automatically identify the health conditions. In this paper, both of the IRT images acquisitions from Camera 1 and Camera 2 are utilized for the validation of IRT-based method. The classification results are shown in Figures 6 and 7, respectively. From Figures 6 and 7, we can see that no testing samples are misclassified and the testing accuracy achieves 100% using the thermographs acquired from Camera 1, as shown in Figure 6. However, nine testing samples are misclassified using the images acquisition from Camera 2 with the final testing accuracy 99.04%. It indicates that Camera 1 is more sensitive to the various faults comparing with Camera 2. Meanwhile, the testing accuracies using thermal images from two cameras are both over 99.0%, which means the proposed IRT-based method can effectively classify the ten faults of rotating machinery under nonstationary running conditions.

Furthermore, we investigate the classification results of the proposed IRT-based method trained by various percentages of samples. We run 20 times for each experiment to reduce the randomness. Then the averaging training and testing accuracies are obtained and their corresponding standard deviations are represented using the positive error bars. Figure 8 illustrates the diagnosis results using the thermal images from two cameras. We can observe that the testing accuracy increases and its standard deviation decreased with the rise of percentage of training samples. In Figure 8(a), it is seen that the proposed method with Camera 1 classifies the ten health conditions of rotating machinery with testing accuracy 94.55% using only 2% of samples for training. The testing accuracy achieves 100% with 0 stand deviation using only 6% percentage of training samples from Camera 1. However, from Figure 8(b) it can be seen that the proposed method with Camera 2 reaches 100.00% requiring 20% of samples for training. This indicates that the proposed IRT-based method with Camera 1 performs better than that with Camera 2, which still has a high testing accuracy even in the situation of lacking training samples.

Meanwhile, we tested the testing accuracy of 100% using cross-validation (CV) method [47]. In this paper, 6-fold CV scheme is employed for experiment using Camera 1 when the training percentage reaches 6%. For experiment using Camera 2, 10-fold CV scheme is employed when the training percentage reaches 20%. For each CV scheme, the training dataset is randomly divided into several subsets. Each subset is verified on the SVM classifier that was trained using the other subsets. The process was repeated several times and the error rate of the SVM is calculated by averaging of the error rates obtained in each test fold. The obtained results are given in Table 4. We can find that the average training accuracy and its error rate of Camera 1 are 99.88% and 0.0010, respectively. For experiment using Camera 2, the corresponding average training accuracy and its error rate are 99.91% and 0.0012, respectively. This validates that our proposed method has good performance in recognizing various faults of rotating machinery.

Experiments Average training accuracyError rate

Camera 199.88%0.0010

Camera 299.91%0.0012

To show the superiority of our proposed IRT-based fault diagnosis method, we compare the proposed method with reported vibration-based method [36]. Figure 9 displays the time domain waveforms of rotating machinery under varying-speed conditions. Seen from Figure 9, it is difficult to identify the healthy conditions from the waveforms. This may be attributed to the complex dynamical response caused by varying rotating speed [48].

Then, the wavelet energy combined with Shannon entropy is used to extract fault characteristics from the raw vibration signals and the SVM is used to recognize the ten health conditions. Note that the vibration-based method uses 33% of samples for training [36]. The classification result using the vibration-based method is displayed in Figure 10. It can be seen that the vibration-based method achieves testing accuracy 79.11% (530/670), which is much lower than the proposed IRT-based method. This indicates that the proposed method can obtain a higher testing accuracy with less training samples.

To show the superiority of the proposed method in the fault feature extraction, 2-D and three-dimensional projections are used for visualizing with principal component analysis (PCA), as plotted in Figures 11(a) and 11(b), respectively. From Figure 11 it can be seen that each group of samples is clustered and has distinct boundaries using IRT-based method. However, in Figure 12, the boundary of each group of samples is ambiguous using the vibration-based method.

5. Conclusions

In this paper, the IRT-based method is developed to diagnose various faults of rotating machinery under varying-speed conditions. The IRT-based method has been proven to be having merits of noncontact, nonintrusive, and high sensitivity to various faults. The effectiveness of the IRT-based method is validated by recognizing ten fault types of rotating machinery faults. Compared with traditional vibration-based method, experimental results indicate that the proposed method immunizes the influence of varying speed and provides an alternative way for the health monitoring of rotating machinery under varying-speed conditions.

There are two possible directions for future investigation. First, the combination of IRT images and vibration may be more effective. Second, this primary study only proved the effectiveness of the IRT-based method. But the calculation efficiency requires to be further improved.

Data Availability

The data used to support the findings of this study are available from the corresponding author upon request.

Conflicts of Interest

The authors declare that they have no conflicts of interest.


The research is supported by National Natural Science Foundation of China under Grant 51805434, in part by the China Postdoctoral Innovative Talent Plan, China, under Grant BX20180257, in part by the Postdoctoral Science Funds, China, under Grant 2018M641021, and in part by the Key Research Program, Shaanxi Province, under Grant 2019KW-017.


  1. L. Ciabattoni, F. Ferracuti, A. Freddi, and A. Monteriu, “Statistical spectral analysis for fault diagnosis of rotating machines,” IEEE Transactions on Industrial Electronics, vol. 65, no. 5, pp. 4301–4310, 2018. View at: Publisher Site | Google Scholar
  2. P. D. Samuel and D. J. Pines, “A review of vibration-based techniques for helicopter transmission diagnostics,” Journal of Sound and Vibration, vol. 282, no. 1-2, pp. 475–508, 2005. View at: Publisher Site | Google Scholar
  3. K. Liang, N. Qin, D. Huang, Y. Fu, and L. Hu, “Convolutional recurrent neural network for fault diagnosis of high-speed train bogie,” Complexity, vol. 2018, Article ID 4501952, 13 pages, 2018. View at: Google Scholar
  4. X. Liang, M. J. Zuo, and Z. Feng, “Dynamic modeling of gearbox faults: a review,” Mechanical Systems and Signal Processing, vol. 98, pp. 852–876, 2018. View at: Publisher Site | Google Scholar
  5. W. Mao, L. He, Y. Yan, and J. Wang, “Online sequential prediction of bearings imbalanced fault diagnosis by extreme learning machine,” Mechanical Systems and Signal Processing, vol. 83, pp. 450–473, 2017. View at: Publisher Site | Google Scholar
  6. Z. Jia, Z. Liu, C. Vong, and M. Pecht, “A rotating machinery fault diagnosis method based on feature learning of thermal images,” IEEE Access, vol. 7, pp. 12348–12359, 2019. View at: Publisher Site | Google Scholar
  7. Y. Li, J. X. Gu, D. Zhen, M. Xu, and A. Ball, “An evaluation of gearbox condition monitoring using infrared thermal images applied with convolutional neural networks,” Sensors, vol. 19, no. 9, p. 2205, 2019. View at: Publisher Site | Google Scholar
  8. X. Chen, L. Peng, G. Cheng, and C. Luo, “Research on degradation state recognition of planetary gear based on multiscale information dimension of SSD and CNN,” Complexity, vol. 2019, 12 pages, 2019. View at: Google Scholar
  9. A. Glowacz and Z. Glowacz, “Diagnosis of the three-phase induction motor using thermal imaging,” Infrared Physics & Technology, vol. 81, pp. 7–16, 2017. View at: Publisher Site | Google Scholar
  10. Z. Feng and M. J. Zuo, “Vibration signal models for fault diagnosis of planetary gearboxes,” Journal of Sound and Vibration, vol. 331, no. 22, pp. 4919–4939, 2012. View at: Publisher Site | Google Scholar
  11. X. Wang, S. Si, Y. Wei, and Y. Li, “The optimized multi-scale permutation entropy and its application in compound fault diagnosis of rotating machinery,” Entropy, vol. 21, no. 2, p. 170, 2019. View at: Publisher Site | Google Scholar
  12. J. Wang, F. Cheng, W. Qiao, and L. Qu, “Multiscale filtering reconstruction for wind turbine gearbox fault diagnosis under varying-speed and noisy conditions,” IEEE Transactions on Industrial Electronics, vol. 65, no. 5, pp. 4268–4278, 2018. View at: Publisher Site | Google Scholar
  13. A. B. Ming, W. Zhang, Z. Qin, and F. Chu, “Fault feature extraction and enhancement of rolling element bearing in varying speed condition,” Mechanical Systems and Signal Processing, vol. 76-77, pp. 367–379, 2016. View at: Publisher Site | Google Scholar
  14. C. Mishra, A. K. Samantaray, and G. Chakraborty, “Rolling element bearing defect diagnosis under variable speed operation through angle synchronous averaging of wavelet de-noised estimate,” Mechanical Systems and Signal Processing, vol. 72-73, pp. 206–222, 2016. View at: Publisher Site | Google Scholar
  15. M. Zhao and J. Lin, “Health assessment of rotating machinery using a rotary encoder,” IEEE Transactions on Industrial Electronics, vol. 65, no. 3, pp. 2548–2556, 2018. View at: Publisher Site | Google Scholar
  16. A. Glowacz, “Fault diagnostics of acoustic signals of loaded synchronous motor using SMOFS-25-EXPANDED and selected classifiers,” Tehnički Vjesnik, vol. 23, no. 5, pp. 1365–1372, 2016. View at: Google Scholar
  17. P. A. Delgado-Arredondo, D. Morinigo-Sotelo, R. A. Osornio-Rios, J. G. Avina-Cervantes, H. Rostro-Gonzalez, and R. D. J. Romero-Troncoso, “Methodology for fault detection in induction motors via sound and vibration signals,” Mechanical Systems and Signal Processing, vol. 83, pp. 568–589, 2017. View at: Publisher Site | Google Scholar
  18. M. Blödt, P. Granjon, B. Raison, and G. Rostaing, “Models for bearing damage detection in induction motors using stator current monitoring,” IEEE Transactions on Industrial Electronics, vol. 55, no. 4, pp. 1813–1822, 2008. View at: Publisher Site | Google Scholar
  19. H. Zhang, S. Sfarra, F. Sarasini et al., “Optical and mechanical excitation thermography for impact response in basalt-carbon hybrid fiber-reinforced composite laminates,” IEEE Transactions on Industrial Informatics, vol. 14, no. 2, pp. 514–522, 2018. View at: Publisher Site | Google Scholar
  20. M. Ebk, M. Gutten, and M. Kucera, “Diagnostics of electric equipments by means of thermovision,” Przeglad Elektrotechniczny, vol. 87, pp. 313–317, 2011. View at: Google Scholar
  21. J. A. R. Nunez, L. M. Velazquez, L. A. M. Hernandez, R. J. R. Troncoso, and R. A. Osornio-Rios, “Low-cost thermographic analysis for bearing fault detection on induction motors,” Journal of Scientific and Industrial Research, vol. 75, no. 7, pp. 412–415, 2016. View at: Google Scholar
  22. H. Zhang, S. Sfarra, K. Saluja et al., “Non-destructive investigation of paintings on canvas by continuous wave terahertz imaging and flash thermography,” Journal of Nondestructive Evaluation, vol. 36, no. 2, p. 34, 2017. View at: Google Scholar
  23. A. G. Garcia-Ramirez, L. A. Morales-Hernandez, R. A. Osornio-Rios, A. Garcia-Perez, and R. J. Romero-Troncoso, “Thermographic technique as a complement for MCSA in induction motor fault detection,” in Proceedings of the 21st International Conference on Electrical Machines, ICEM 2014, pp. 1940–1945, Germany, September 2014. View at: Google Scholar
  24. F. Ciampa, P. Mahmoodi, F. Pinto, and M. Meo, “Recent advances in active infrared thermography for non-destructive testing of aerospace components,” Sensors, vol. 18, no. 2, article no. 609, 2018. View at: Google Scholar
  25. P. Rathmann, C. Chalopin, D. Halama, P. Giri, J. Meixensberger, and D. Lindner, “Dynamic infrared thermography (DIRT) for assessment of skin blood perfusion in cranioplasty: a proof of concept for qualitative comparison with the standard indocyanine green video angiography (ICGA),” International Journal for Computer Assisted Radiology and Surgery, vol. 13, no. 3, pp. 479–490, 2018. View at: Publisher Site | Google Scholar
  26. B. J. Gonçalves, A. M. Lago, A. A. Machado, T. M. Giarola, M. E. Prado, and J. V. de Resende, “Infrared (IR) thermography applied in the freeze-drying of gelatin model solutions added with ethanol and carrier agents,” Journal of Food Engineering, vol. 221, pp. 77–87, 2018. View at: Publisher Site | Google Scholar
  27. Y. Yao, S. Sfarra, S. Lagüela et al., “Active thermography testing and data analysis for the state of conservation of panel paintings,” International Journal of Thermal Sciences, vol. 126, pp. 143–151, 2018. View at: Publisher Site | Google Scholar
  28. S. Sfarra, A. Cicone, B. Yousefi, C. Ibarra-Castanedo, S. Perilli, and X. Maldague, “Improving the detection of thermal bridges in buildings via on-site infrared thermography: The potentialities of innovative mathematical tools,” Energy and Buildings, vol. 182, pp. 159–171, 2019. View at: Publisher Site | Google Scholar
  29. H. Zhang, S. Sfarra, F. Sarasini et al., “Impact modelling and a posteriori non-destructive evaluation of homogeneous particleboards of sugarcane bagasse,” Journal of Nondestructive Evaluation, vol. 37, no. 1, article no. 6, 2018. View at: Google Scholar
  30. A. Laborda, A. Robinson, S. Wang, Y. Zhang, and P. Reed, “Fatigue assessment of multilayer coatings using lock-in thermography,” Materials and Corrosion, vol. 141, pp. 361–373, 2018. View at: Publisher Site | Google Scholar
  31. S. A. Grammatikos, E. Z. Kordatos, T. E. Matikas, and A. S. Paipetis, “On the fatigue response of a bonded repaired aerospace composite using thermography,” Composite Structures, vol. 188, pp. 461–469, 2018. View at: Publisher Site | Google Scholar
  32. A. Glowacz and Z. Glowacz, “Diagnostics of stator faults of the single-phase induction motor using thermal images, MoASoS and selected classifiers,” Measurement, vol. 93, pp. 86–93, 2016. View at: Publisher Site | Google Scholar
  33. O. Janssens, R. Schulz, V. Slavkovikj et al., “Thermal image based fault diagnosis for rotating machinery,” Infrared Physics & Technology, vol. 73, pp. 78–87, 2015. View at: Publisher Site | Google Scholar
  34. A. M. D. Younus and B.-S. Yang, “Intelligent fault diagnosis of rotating machinery using infrared thermal image,” Expert Systems with Applications, vol. 39, no. 2, pp. 2082–2091, 2012. View at: Publisher Site | Google Scholar
  35. H. K. Suh, J. W. Hofstee, J. IJsselmuiden, and E. J. van Henten, “Sugar beet and volunteer potato classification using Bag-of-Visual-Words model, Scale-Invariant Feature Transform, or Speeded Up Robust Feature descriptors and crop row information,” Biosystems Engineering, vol. 166, pp. 210–226, 2018. View at: Publisher Site | Google Scholar
  36. H. H. Bafroui and A. Ohadi, “Application of wavelet energy and Shannon entropy for feature extraction in gearbox fault detection under varying speed conditions,” Neurocomputing, vol. 133, pp. 437–445, 2014. View at: Publisher Site | Google Scholar
  37. H. Drucker, D. Wu, and V. N. Vapnik, “Support vector machines for spam categorization,” IEEE Transactions on Neural Networks and Learning Systems, vol. 10, no. 5, pp. 1048–1054, 1999. View at: Publisher Site | Google Scholar
  38. V. N. Vapnik and A. Y. Chervonenkis, “The Necessary and sufficient conditions for the uniform convergence of empirical means to their true values,” Teoriya Veroyatnostei i Ee Primeneniya, vol. 26, no. 3, pp. 543–563, 1981. View at: Google Scholar | MathSciNet
  39. X. Wang, S. Si, Y. Li, and Y. Li, “A fault diagnosis method for rotating machinery under variable speed condition based on infrared thermography,” in Proceedings of the 2018 International Conference on Sensing,Diagnostics, Prognostics, and Control (SDPC), pp. 30–34, Xi'an, China, August 2018. View at: Publisher Site | Google Scholar
  40. T. Lindeberg, “Scale-space theory: a basic tool for analyzing structures at different scales,” Journal of Applied Statistics, vol. 21, no. 1-2, pp. 225–270, 1994. View at: Publisher Site | Google Scholar
  41. D. G. Lowe, “Object recognition from local scale-invariant features,” in Proceedings of the 7th IEEE International Conference on Computer Vision (ICCV '99), vol. 2, pp. 1150–1157, Ieee, September 1999. View at: Google Scholar
  42. M. Brown and D. Lowe, “Invariant Features from Interest Point Groups,” in Proceedings of the British Machine Vision Conference 2002, pp. 656–665, 2002. View at: Publisher Site | Google Scholar
  43. D. Arthur and S. Vassilvitskii, “k-means++: the advantages of careful seeding,” in Proceedings of the ACM-SIAM Symposium on Discrete Algorithms, pp. 1027–1035, 2007. View at: Google Scholar | MathSciNet
  44. D. Nister and H. Stewénius, “Scalable recognition with a vocabulary tree,” in Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR '06), vol. 1, pp. 2161–2168, June 2006. View at: Publisher Site | Google Scholar
  45. Y. B. Li, M. Q. Xu, R. X. Wang, and W. H. Huang, “A fault diagnosis scheme for rolling bearing based on local mean decomposition and improved multiscale fuzzy entropy,” Journal of Sound and Vibration, vol. 360, Article ID 12638, pp. 277–299, 2016. View at: Publisher Site | Google Scholar
  46. A. Subasi, “A decision support system for diagnosis of neuromuscular disorders using DWT and evolutionary support vector machines,” Signal, Image and Video Processing, vol. 9, no. 2, pp. 399–408, 2015. View at: Publisher Site | Google Scholar
  47. Y. B. Li, M. Q. Xu, Y. Wei, and W. H. Huang, “A new rolling bearing fault diagnosis method based on multiscale permutation entropy and improved support vector machine based binary tree,” Measurement, vol. 77, pp. 80–94, 2016. View at: Publisher Site | Google Scholar
  48. W. Bartelmus and R. Zimroz, “Vibration condition monitoring of planetary gearbox under varying external load,” Mechanical Systems and Signal Processing, vol. 23, no. 1, pp. 246–257, 2009. View at: Publisher Site | Google Scholar

Copyright © 2019 Yongbo Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

More related articles

600 Views | 362 Downloads | 2 Citations
 PDF  Download Citation  Citation
 Download other formatsMore
 Order printed copiesOrder

Related articles

We are committed to sharing findings related to COVID-19 as quickly and safely as possible. Any author submitting a COVID-19 paper should notify us at to ensure their research is fast-tracked and made available on a preprint server as soon as possible. We will be providing unlimited waivers of publication charges for accepted articles related to COVID-19. Sign up here as a reviewer to help fast-track new submissions.