Home Physical Sciences Fast recognition algorithm for static traffic sign information
Article Open Access

Fast recognition algorithm for static traffic sign information

  • Shaocui Guo and Xu Yang EMAIL logo
Published/Copyright: December 31, 2018

Abstract

Aiming at the low recognition rate, low recognition efficiency, poor anti-interference and high missing detection rate of current traffic sign recognition methods, a fast recognition algorithm based on SURF for static traffic sign information of highway is proposed. The expansion of the digital morphological method is used to connect the cracks in the traffic sign. Traffic sign images are corroded according to the corrosion, and the connected areas are contracted or refined. Regions of interest are detected by region filling. According to the result of traffic sign image processing, the scale of traffic sign image is normalized by bilinear interpolation method, and the SURF feature points of traffic sign image are extracted. The FLANN algorithm is used to realize feature point matching, and the threshold is set to determine the best matching point. The matching result is output and the traffic sign information is recognized. Experimental results show that the algorithm has high recognition rate and recognition efficiency, strong anti-interference, and can control the rate of missing detection in a certain range.

1 Introduction

Traffic sign recognition (TSR), as a subsystem of advanced driving assistance system (ADAS), has attracted wide attention. TSR mainly includes two parts: traffic sign detection and traffic sign recognition. Traffic signs detection is to find signs from the image, recognition is to accurately classify the detected signs and determine their categories [1, 2]. Traffic signs contain important road information, which is an important guarantee for drivers and pedestrians to drive and travel safely. An important reason for traffic accidents is that drivers fail to see some important traffic signs in time and take corresponding measures. Domestic research on traffic sign detection and recognition lags behind Europe and America, but with the development of intelligent vehicles, many well-known universities and research institutes have joined the research ranks of traffic sign detection and recognition [3, 4]. In 1987, Japanese scholar Akatsuka et al. used color segmentation method to detect traffic signs and used template matching method to identify them [5]. By the 1990s, some developed countries, such as in Europe and the United States, were unwilling to show their weakness, and began to study the traffic sign recognition system one after another. In view of the challenges in the process of detecting and identifying the information quantity of the static traffic sign of highway, it is necessary to explore and study constantly in order to make the field develop better and faster.

Liu et al. proposed a traffic sign recognition method based on graph model and convolution neural network (CNN), and established an application-oriented traffic sign recognition system of convolution neural network (R-CNN) based on area. A graph model based on super-pixel region of UCM was constructed to effectively utilize the multi-level information from bottom to top. A hierarchical saliency detection method based on graph model was proposed to extract the region of interest (ROI) of traffic signs, and convolution neural network (CNN)was used to extract and classify the features of ROIs. The test results show that the method is relatively simple, but the overall recognition rate is low [6]. Zhang et al. proposed a circular sign image recognition method based on invariant moments and support vector machines. Firstly, according to the color and shape information of traffic signs, the original image was processed by color segmentation, morphological denoising and shape detection, and the region containing traffic signs in the image was obtained. Then the Hu moment and Zernike moment eigenvalues were extracted from the sign images, respectively. The eigenvalues were input into SVM for training and the grid search method was used to optimize the parameters of SVM. Finally, the optimized SVM method is used to recognize the traffic signs. Experiments showed that this method had a high recognition rate, but it did not normalize the size of the image, and the recognition efficiency was low [7]. Wang et al. put forward a traffic sign recognition algorithm based on optimized CNN structure. Among them, BN method could be used to change the data distribution in the middle layer, normalize the output data of convolution layer to mean value of 0 and variance of 1, so as to improve the training convergence speed and reduce the training time. In GLP method, the first layer convolution network was trained, the parameters were retained, the second layer was trained, and the parameters were retained until all the convolution layers were trained. The SVM classifier focused on the wrong samples only and no longer processed the correct samples, thus improving the training speed. Experimental results showed that the proposed method was stable, but the image was not processed during the process, resulting in poor anti-interference performance of the algorithm [8]. Liu et al. proposed a traffic sign classification method based on fusion space tower operator and histogram cross-kernel support vector machine. In this method, the appearance, color and contour information of traffic signs were described by extracting Gray-PHOW feature, Color-PHOW feature and PHOG feature. By extracting the characteristics of spatial histogram, the spatial distribution of various features of the image was described. After extracting the spatial distribution information of the appearance, color, contour and feature of the image, the fused spatial pyramid feature was obtained. This method had a certain recognition efficiency, but under a certain number of traffic signs there was a missing detection [9].

Aiming at the existing problems in the previous research results, a fast recognition algorithm of static traffic sign information based on SURF is proposed. The detailed process is as follows:

The static traffic sign image of highway is processed by mathematical morphology method to improve the recognition rate and efficiency of traffic sign information and enhance the interference resistance performance in the process of recognition.

Traffic sign image matching is realized by SURF feature matching method, and traffic sign information recognition is realized to further improve the recognition rate.

The validity of the algorithm based on SURF is verified by experiments.

2 Methods

2.1 2.1 Static traffic signs processing of highway

There are some noises in the collected static traffic sign images of highways, which need to be removed by digital morphological processing. In addition, because traffic signs are not only limited to border and color information, their internal information (such as speed limit signs will have limited speed) is also an important component of traffic signs [10, 11]. In order to obtain all the information of traffic signs, it is necessary to extract the region which conforms to the characteristics of traffic signs on the basis of noise removal. These tasks can also be completed by morphological processing.

Expansion: Expansion is the basic operation of morphological image processing, which can be used to connect the discontinuous cracks in traffic sign images. Assuming that A and B are two sets, A being expanded by B means that the origin of structural element B and A have the overlapping part, denoted as A ⊕ B, where the image mapping of B is denoted as B̄, and Eq. (1) is defined as A being expanded by B.

(1)AB=zB¯A

where z represents the shift element, and B̄B is the reflection of set B on the symmetry of its origin. As shown, in Figure 1(a) is set A, and Figure 1(b) is a point-centered square element B, B expands A into a set of all shifted elements, which is the result shown in Figure 1(c).

Figure 1 Expansion process
Figure 1

Expansion process

According to the above expansion process, the discontinuous cracks in the traffic sign image are connected, which lays a foundation for fast identification of traffic sign information.

Corrosion is one of the most basic operations in morphological processing. Corrosion treatment of traffic sign images can shrink or refine the connected areas. Supposing there is a set A, where pixel coordinates are (x, y). The translation of point z = (z1, z2) to set A is (A)z, defined as Eq. (2):

(2)Az=cc=a+z,aA

where B corrosion of A defines the movement of structural element B above A and the part that A is contained in structural element B is retained, denoted as 5, and defined as Eq. (3):

(3)AΘB=zBAc

Corrosion is used to shrink or refine the connected area of traffic sign image and improve the recognition rate of sign information.

Area filling can start from one point in the region, and expands the fill color from inside to outside to the whole area. For a pixel q in the image, there may be two adjacent connections: the 4-adjacency point and the 8-adjacency point. The 4-adjacent point of q refers to the four adjacent points of upper, lower, left and right, while the 8-adjacent point refers to the eight adjacent points of upper, lower, left, right, upper left, lower left, upper right and lower right, as shown in Figure 2.

Figure 2 Definition of adjacency point
Figure 2

Definition of adjacency point

Based on the definition of 4-adjacency point and 8-adjacency point, connected regions are also divided into 4-connected region and 8-connected region. The main difference between 4-connected region and 8-connected region is that their boundary conditions are different. In Figure 3(a), a 4-connected region is shown, but it does not satisfy the condition of a 8-connected region, because accessing 8-adjacent point in the region will cross the region when traversing the points in the region; and in Figure 3(b), a 4-connected region is also a 8-connected region.

Figure 3 4-connected region and 8-connected region
Figure 3

4-connected region and 8-connected region

Based on the above analysis, it is assumed that the boundary points of all pixel regions in Set A are 8-adjacent, if B is an element with symmetrical structure, A is an input static traffic sign image of the highway, and Ac is a complement of A, this process can be used to represent by Eq. (4):

(4)Xk=Xk1BAc

where X0 = q, in the iteration process, when Xk = Xk−1 is satisfied, the algorithm terminates. In the result, Set Xk represents the interior of the filled traffic sign. When Eq. (5) is satisfied, traffic signs, including the boundary and the entire internal area, have been filled.

(5)Ifilled=XkA

The result of Eq. (5) is the result of filling the traffic sign area. After morphological detection such as swelling, corrosion and region filling, the region of static traffic sign noise can be removed and the region of interest can be detected [12, 13], in order to improve the recognition rate and efficiency of traffic sign information, enhance the interference resistance in the process of identification and reduce the rate of missed detection.

2.2 Static traffic signs information recognition of highway based on SURF

According to the traffic sign image processing in Section 2.1, the SURF method is used to quickly identify the static traffic sign information of highway by feature matching. SURF feature is an efficient variant of SIFT algorithm. SURF inherits the advantages of SIFT. It is several times faster than SIFT and has better stability in multiple images. This is needed in the process of traffic sign recognition [14, 15, 16, 17, 18, 19, 20, 21].

In order to further improve the efficiency and accuracy of traffic sign recognition, the icon image is normalized. In the dimension normalization of the icon image, assuming the size of the original traffic sign image is m × n and the target image is m' × n', then the ratio of edge lengths of the two images is m/m' and n/n'. The (i, j)th pixel 5 (line i and line j) of the target image can be obtained by using the ratio of the length of a side to the original image, and its corresponding coordinate is (i × m/m', j × n/n'). Obviously, the coordinate value is not an integer, but only an integer can be used as the pixel value of the image. Bilinear interpolation algorithm role is to find the nearest four points to the corresponding coordinates, and calculate the value of the point. Its principle is shown in Figure 4.

Figure 4 The principle of bilinear interpolation algorithm
Figure 4

The principle of bilinear interpolation algorithm

In Figure 4, E11, E12, E21 and E22 denote four pixels. Linear interpolation is performed in the transverse direction, blue dot T1 is inserted between E11 and E12, and blue dot T2 is inserted between E21 and E22. Point P is obtained by interpolating in the longitudinal axis by T1 and T2.

Assuming that the values of function f at E11 = (x'1, y'1 ), E12 = (x'1, y'2), E21 = (x'2, y'1), and E22 = x'2, y'2) are known, linear interpolation is performed in the transverse direction as shown in Eq. (6) and Eq. (7). The difference in the longitudinal direction is shown in Eq. (8), and the value of f at P = (x', y') can be calculated, as shown in Eq. (9).

(6)fT1x2xx2x1fE11+xx1x2x1fE21
(7)fT2x2xx2x1fE12+xx1x2x1fE22
(8)fPy2yy2y1fT1+yy1y2y1fT2
(9)fx,yx2xy2yx2x1y2y1fE11+x2xy2yx2x1y2y1fE21+x2xyy1x2x1y2y1fE12+x2xyy1x2x1y2y1fE22

The result of Eq. (9) is the normalized result of icon size. Using the above results, the SURF feature points can be extracted. The core of SURF algorithm is to construct Hessian matrix. Hessian matrix is a square matrix composed of the second-order partial derivatives of multivariate functions in mathematics. Assuming that a pixel in the traffic sign image is represented by f (x', y'), its Hessian matrix is shown in Eq. (10):

(10)Hfx,y=2fx22fxy2fxy2fy2

According to Eq. (10), the Hessian matrix of each pixel can be obtained, and then the positive and negative results of Hessian matrix discriminant Eq. (11) can be used as a basis to determine whether the point is an extremum, where H0 is a Hessian matrix and det (H') is its eigenvalue.

(11)detH=2f2fx2y22fxy2Ifilled

In order to obtain the features of acceleration robustness with size invariance, Gaussian filtering as shown in Eq. (12) is usually used before constructing Hessian matrix.

(12)Lx,t=detHIx,tGt

where L'(x', t) represents the traffic sign image with different resolution, and can be convoluted by image function I (x', t) and Gaussian function G' (t) at point x'.

Among them, the expression of G' (t) is:

(13)Gt=2gtx2

Where, g (t) represents the Gauss function, and t represents the Gauss variance.

By analyzing the pixels processed by Hessian algorithm, these pixels are compared with the size of the points in its three-dimensional domain, and the points with the maximum or minimum value are retained as the initial feature points. Then the sub-pixel feature points are obtained by three-dimensional linear interpolation method, the threshold is set to remove the weaker feature extreme points, and the strongest feature points retained are used as the traffic sign feature points. The representation of the final feature set is:

(14)V=Hfx,yLx,tGtδ

In the above equation, δ represents the weaker extreme point after removing threshold, which is controlled in the range of [4.5, 4.6], and the best removal effect is obtained, that is, the traffic sign image recognition effect is the best.

After extracting the SURF features, the FLANN algorithm is used to realize the feature point matching, and the static traffic sign information is recognized.

Eq. (15) is used to calculate the Euclidean distance between the matching feature points of two traffic sign images, and the minimum Euclidean distance of min (dist) is obtained. The threshold S is set, so that when SN1 × min (dist), it is determined as the best matching point.

(15)D=x1x12+x2x22++xrxr2

where (x'1, x'2, · · · , x'r) and (x''1, x''2, · · · , x''r) represent two matching SURF feature vectors in the feature set, respectively. The number of the best matching points in the two images is N 2, and the threshold value is S'. When N 2 ≥ S', the matching is successful, the traffic signs are judged to be the successful matching classes, so as to complete the information recognition of the static sign of the highway.

3 Results

Experimental data sources: during the experiment, the standard image set is composed of several traffic signs,

and the experimental samples are shown in Figure 5. The experimental platform is Matlab. In the process of the experiment, the current research methods and the SURF-based algorithm for identifying the static traffic sign information are compared and implemented in the following aspects:

Figure 5 Experimental samples
Figure 5

Experimental samples

Recognition rate of traffic sign

Recognition efficiency of traffic sign

Interference resistance in traffic sign recognition process Missing recognition rate of traffic sign Recognition

The results are as follows:

As shown in Figure 6, the traffic sign recognition based on graph model and convolution neural network (CNN) and circular sign recognition based on invariant moments and support vector machine (SVM) are in a state of constant fluctuation. The recognition rate of static traffic sign based on SURF is the highest at the initial stage of operation, although the recognition rate is a slight fluctuation in the late running stage, the overall method is more feasible than the current method.

Figure 6 Recognition rate comparison of different traffic sign recognition methods
Figure 6

Recognition rate comparison of different traffic sign recognition methods

From the Figure 7, it can be seen that the method based on SURF has little time-consuming and high efficient in identifying the static traffic sign information of highway. Before identifying the traffic sign information, the algorithm processes the icon image and implements the size normalization, which effectively improves the efficiency of identifying the traffic sign information.

Figure 7 Recognition efficiency comparison of different traffic sign recognition methods
Figure 7

Recognition efficiency comparison of different traffic sign recognition methods

Figure 8 shows that the method based on SURF has better interference resistance ability than the current method in the process of identifying the static traffic sign information of highway. It not only improves the recognition rate and efficiency, but also enhances the interference resistance ability and robustness of the recognition process.

Figure 8 Interference resistance performance comparison of different traffic sign recognition methods in recognition process
Figure 8

Interference resistance performance comparison of different traffic sign recognition methods in recognition process

As can be seen from Figure 9, the missing recognition rate of SURF-based static traffic sign information recognition algorithm can be effectively controlled below 3.5%.

Figure 9 Missing recognition rate comparison of different traffic sign recognition methods
Figure 9

Missing recognition rate comparison of different traffic sign recognition methods

The proposed algorithm uses traffic sign region filling to detect the region of interest, and reduce the missing recognition rate of traffic sign information as much as possible.

4 Discussion

The weaker feature extremum point, used to remove threshold δ, is taken as the object of discussion, and the most representative feature points in the traffic sign image can be obtained by observing whether the threshold is controlled in interval [4.5, 4.6], and then the best effect of traffic sign image recognition can be obtained.

The threshold δ is distributed in interval [4.3, 4.4], [4.5, 4.6] and [4.7, 4.8], and the recognition rate of traffic sign information is as follows.

As can be seen from Figure 10, when δ is subordinate to [4.3, 4.4] and [4.7, 4.8], the recognition rate of static traffic sign information is low and fluctuates greatly. When δ belongs to [4.5, 4.6], the traffic sign recognition rate is higher. Thus, it is feasible to control the δ in [4.5, 4.6].

Figure 10 Comparison of the effect of different values of δ on the recognition rate of traffic sign information
Figure 10

Comparison of the effect of different values of δ on the recognition rate of traffic sign information

5 Conclusions

With the development of transportation, traffic sign recognition has gradually become a hot topic both at home and abroad. As a typical problem in the field of pattern recognition, it will also promote the further development of the theory and technology of pattern recognition. At present, the performance of traffic sign recognition needs to be improved. A new algorithm based on SURF is proposed to identify the static traffic sign information of highway. Traffic sign image preprocessing and feature extraction and matching are used to detect and recognize the traffic sign information. Experimental results show that the algorithm is reliable. The following recommendations are proposed for further research:

A vehicle decision system is constructed to provide support for traffic sign information recognition.

There are many recognition algorithms, but in this paper, only SURF matching algorithm is used to identify the traffic sign information. Thus, the next step is to realize the traffic sign recognition by other methods.

Acknowledgement

National Natural Science Foundation of China - Trust network formation and its application research in intelligent recommendation (No. 61572418); Shandong Science and Technology Development Plan (No. 2016GGX109004).

References

[1] Wang L., Bai J., Application of Multi-sensor Target Identification Based on Improved Evidence Theory, Bulletin Sci. Technol., 2016, 2(7), 134-137.Search in Google Scholar

[2] Kong D., Sun L., Wang J.Q. et al., Lane Markings Identification Algorithm for Laser Radar, Sci. Technol. Eng., 2017, 17(16), 87-92.Search in Google Scholar

[3] Wang Q., Cheng R.L., Zhu X.J., Design of Gesture Recognition Simulation System Based on Web-Based Carrier, Automat. Instrument., 2017, (1), 170-173.Search in Google Scholar

[4] Liu Y.C., Xu F., Gesture Recognition Based on Radar Technology., J. China Acad. Electr. Inform. Technol., 2016, 11(6), 609-613.Search in Google Scholar

[5] Huang Z., Yu Y., Gu J., et al., An Efficient Method for Traffic Sign Recognition Based on Extreme Learning Machine, IEEE Trans. Cybern., 2016, 47(4), 920-933.10.1109/TCYB.2016.2533424Search in Google Scholar PubMed

[6] Liu Z.W., Zhao X.M., Li Q. et al., Traffic Sign Recognition Method based on Graphical Model and Convolutional Neural Network, J. Traffic Transport. Eng., 2016, 16(5), 122-131.Search in Google Scholar

[7] Zhang Z., Cheng W.W., Wu L., et al., Study on Circular Traffic Signs Recognition Method based on Invariant Moments and SVM, J. Electr. Meas. Instrument., 2017, 31(5), 773-779.Search in Google Scholar

[8] Wang X.B., Huang J.J., LiuW.J., Traffic Sign Recognition based on Optimized Convolutional Neural Network Architecture, J. Comp. Appl., 2017, 37(2), 530-534.Search in Google Scholar

[9] Liu Y.C., Chen Y.P., Zhang S.S. et al., Traffic Sign Recognition Based on Pyramid Histogram Fusion Descriptor and HIK-SVM, J. Transport. Syst. Eng. Inform. Technol., 2017, 17(1), 220-226.Search in Google Scholar

[10] Wang Y.F., Feng Q., Deng X.J., A New Target Recognition Algorithm Based on Geometric Difference, Comp. Meas. Contr., 2016, 24(7), 156-158.Search in Google Scholar

[11] Zhao D., Traffic Road Sign Recognition based on Computer Vision Outline Level, Electr. Design Eng., 2017, 25(14), 123-126.Search in Google Scholar

[12] Tan M., Wang B., Wu Z. et al., Weakly Supervised Metric Learning for Traffic Sign Recognition in a LIDAR-Equipped Vehicle, IEEE Trans. Intel. Transport. Syst., 2016, 17(5), 1415-1427.10.1109/TITS.2015.2506182Search in Google Scholar

[13] Lu X.Y., Du L.J., Fuzzy Biological Image Feature Extraction Simulation Research, Comp. Simul., 2017, 34(5), 397-400.Search in Google Scholar

[14] Xu Y., Wang Q., Wei Z. et al., Traffic Sign Recognition based on Weighted ELM and AdaBoost, Electr. Lett., 2016, 52(24), 1988-1990.10.1049/el.2016.2299Search in Google Scholar

[15] Luo H., Yang Y., Tong B. et al., Traffic Sign Recognition Using a Multi-Task Convolutional Neural Network, IEEE Trans. Intel. Transport. Syst., 2018, (99), 1-12.10.1109/TITS.2017.2714691Search in Google Scholar

[16] Awadalla N.S., Hanna M.A., Ismail M.N., Hassan I.A., Elkhamisy M.A., Period Variation Study and Light Curve Analysis of the Eclipsing Binary Gsc 02013- 00288, Appl. Math. Nonlin. Sci., 2016, 1(2), 321-334.10.21042/AMNS.2016.2.00027Search in Google Scholar

[17] Jiang S.C., Ge S.B.,Wu X., Yang Y.M., Chen J.T., PengW.X., Treating N-Butane by Activated Carbon and Metal Oxides, Toxic. Envir. Chem., 2017, 99(5-6), 753-759.10.1080/02772248.2017.1279432Search in Google Scholar

[18] Rodeiro-Guerra I., Luz Hernandez-Ojeda S., Alfredo Herrera-Isidron J., Hernandez-Balmaseda I., Padron-Yaquis S., Del Rosario Olguin-Reyes S.et al., Study of the Interaction of an Extract Obtained From the Marine Plant Thalassia Testudinumwith Phase I Metabolism in Rats, Rev. Int. Contamin. Ambient., 2017, 33(4), 547-557.10.20937/RICA.2017.33.04.01Search in Google Scholar

[19] Park H.N., Choi H.A., Won S.W., Fibrous Polyethylenimine/Polyvinyl Chloride Crosslinked Adsorbent for the Recovery of Pt (Iv) From Acidic Solution: Adsorption, Desorption and Reuse Performances, J. Clean. Prod., 2018, 176, 360-369.10.1016/j.jclepro.2017.12.160Search in Google Scholar

[20] Caraballo T., Herrera-Cobos M., Marín-Rubio P. An Iterative Method for Non-Autonomous Nonlocal Reaction-Diffusion Equations, Appl. Math. Nonlin. Sci., 2017, 2(1), 73-82.10.21042/AMNS.2017.1.00006Search in Google Scholar

[21] Peng W., Ge S., Ebadi A.G., Hisoriev H., Esfahani M.J., Syngas Production by Catalytic Co-Gasification of Coal-Biomass Blends in a Circulating Fluidized Bed Gasifier, J. Clean. Prod., 2017, 168, 1513-1517.10.1016/j.jclepro.2017.06.233Search in Google Scholar

Received: 2018-10-06
Accepted: 2018-11-14
Published Online: 2018-12-31

© 2018 Shaocui Guo and Xu Yang, published by De Gruyter

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Articles in the same Issue

  1. Regular Articles
  2. A modified Fermi-Walker derivative for inextensible flows of binormal spherical image
  3. Algebraic aspects of evolution partial differential equation arising in the study of constant elasticity of variance model from financial mathematics
  4. Three-dimensional atom localization via probe absorption in a cascade four-level atomic system
  5. Determination of the energy transitions and half-lives of Rubidium nuclei
  6. Three phase heat and mass transfer model for unsaturated soil freezing process: Part 1 - model development
  7. Three phase heat and mass transfer model for unsaturated soil freezing process: Part 2 - model validation
  8. Mathematical model for thermal and entropy analysis of thermal solar collectors by using Maxwell nanofluids with slip conditions, thermal radiation and variable thermal conductivity
  9. Constructing analytic solutions on the Tricomi equation
  10. Feynman diagrams and rooted maps
  11. New type of chaos synchronization in discrete-time systems: the F-M synchronization
  12. Unsteady flow of fractional Oldroyd-B fluids through rotating annulus
  13. A note on the uniqueness of 2D elastostatic problems formulated by different types of potential functions
  14. On the conservation laws and solutions of a (2+1) dimensional KdV-mKdV equation of mathematical physics
  15. Computational methods and traveling wave solutions for the fourth-order nonlinear Ablowitz-Kaup-Newell-Segur water wave dynamical equation via two methods and its applications
  16. Siewert solutions of transcendental equations, generalized Lambert functions and physical applications
  17. Numerical solution of mixed convection flow of an MHD Jeffery fluid over an exponentially stretching sheet in the presence of thermal radiation and chemical reaction
  18. A new three-dimensional chaotic flow with one stable equilibrium: dynamical properties and complexity analysis
  19. Dynamics of a dry-rebounding drop: observations, simulations, and modeling
  20. Modeling the initial mechanical response and yielding behavior of gelled crude oil
  21. Lie symmetry analysis and conservation laws for the time fractional simplified modified Kawahara equation
  22. Solitary wave solutions of two KdV-type equations
  23. Applying industrial tomography to control and optimization flow systems
  24. Reconstructing time series into a complex network to assess the evolution dynamics of the correlations among energy prices
  25. An optimal solution for software testing case generation based on particle swarm optimization
  26. Optimal system, nonlinear self-adjointness and conservation laws for generalized shallow water wave equation
  27. Alternative methods for solving nonlinear two-point boundary value problems
  28. Global model simulation of OH production in pulsed-DC atmospheric pressure helium-air plasma jets
  29. Experimental investigation on optical vortex tweezers for microbubble trapping
  30. Joint measurements of optical parameters by irradiance scintillation and angle-of-arrival fluctuations
  31. M-polynomials and topological indices of hex-derived networks
  32. Generalized convergence analysis of the fractional order systems
  33. Porous flow characteristics of solution-gas drive in tight oil reservoirs
  34. Complementary wave solutions for the long-short wave resonance model via the extended trial equation method and the generalized Kudryashov method
  35. A Note on Koide’s Doubly Special Parametrization of Quark Masses
  36. On right-angled spherical Artin monoid of type Dn
  37. Gas flow regimes judgement in nanoporous media by digital core analysis
  38. 4 + n-dimensional water and waves on four and eleven-dimensional manifolds
  39. Stabilization and Analytic Approximate Solutions of an Optimal Control Problem
  40. On the equations of electrodynamics in a flat or curved spacetime and a possible interaction energy
  41. New prediction method for transient productivity of fractured five-spot patterns in low permeability reservoirs at high water cut stages
  42. The collinear equilibrium points in the restricted three body problem with triaxial primaries
  43. Detection of the damage threshold of fused silica components and morphologies of repaired damage sites based on the beam deflection method
  44. On the bivariate spectral quasi-linearization method for solving the two-dimensional Bratu problem
  45. Ion acoustic quasi-soliton in an electron-positron-ion plasma with superthermal electrons and positrons
  46. Analysis of projectile motion in view of conformable derivative
  47. Computing multiple ABC index and multiple GA index of some grid graphs
  48. Terahertz pulse imaging: A novel denoising method by combing the ant colony algorithm with the compressive sensing
  49. Characteristics of microscopic pore-throat structure of tight oil reservoirs in Sichuan Basin measured by rate-controlled mercury injection
  50. An activity window model for social interaction structure on Twitter
  51. Transient thermal regime trough the constitutive matrix applied to asynchronous electrical machine using the cell method
  52. On the zagreb polynomials of benzenoid systems
  53. Integrability analysis of the partial differential equation describing the classical bond-pricing model of mathematical finance
  54. The Greek parameters of a continuous arithmetic Asian option pricing model via Laplace Adomian decomposition method
  55. Quantifying the global solar radiation received in Pietermaritzburg, KwaZulu-Natal to motivate the consumption of solar technologies
  56. Sturm-Liouville difference equations having Bessel and hydrogen atom potential type
  57. Study on the response characteristics of oil wells after deep profile control in low permeability fractured reservoirs
  58. Depiction and analysis of a modified theta shaped double negative metamaterial for satellite application
  59. An attempt to geometrize electromagnetism
  60. Structure of traveling wave solutions for some nonlinear models via modified mathematical method
  61. Thermo-convective instability in a rotating ferromagnetic fluid layer with temperature modulation
  62. Construction of new solitary wave solutions of generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony and simplified modified form of Camassa-Holm equations
  63. Effect of magnetic field and heat source on Upper-convected-maxwell fluid in a porous channel
  64. Physical cues of biomaterials guide stem cell fate of differentiation: The effect of elasticity of cell culture biomaterials
  65. Shooting method analysis in wire coating withdrawing from a bath of Oldroyd 8-constant fluid with temperature dependent viscosity
  66. Rank correlation between centrality metrics in complex networks: an empirical study
  67. Special Issue: The 18th International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering
  68. Modeling of electric and heat processes in spot resistance welding of cross-wire steel bars
  69. Dynamic characteristics of triaxial active control magnetic bearing with asymmetric structure
  70. Design optimization of an axial-field eddy-current magnetic coupling based on magneto-thermal analytical model
  71. Thermal constitutive matrix applied to asynchronous electrical machine using the cell method
  72. Temperature distribution around thin electroconductive layers created on composite textile substrates
  73. Model of the multipolar engine with decreased cogging torque by asymmetrical distribution of the magnets
  74. Analysis of spatial thermal field in a magnetic bearing
  75. Use of the mathematical model of the ignition system to analyze the spark discharge, including the destruction of spark plug electrodes
  76. Assessment of short/long term electric field strength measurements for a pilot district
  77. Simulation study and experimental results for detection and classification of the transient capacitor inrush current using discrete wavelet transform and artificial intelligence
  78. Magnetic transmission gear finite element simulation with iron pole hysteresis
  79. Pulsed excitation terahertz tomography – multiparametric approach
  80. Low and high frequency model of three phase transformer by frequency response analysis measurement
  81. Multivariable polynomial fitting of controlled single-phase nonlinear load of input current total harmonic distortion
  82. Optimal design of a for middle-low-speed maglev trains
  83. Eddy current modeling in linear and nonlinear multifilamentary composite materials
  84. The visual attention saliency map for movie retrospection
  85. AC/DC current ratio in a current superimposition variable flux reluctance machine
  86. Influence of material uncertainties on the RLC parameters of wound inductors modeled using the finite element method
  87. Cogging force reduction in linear tubular flux switching permanent-magnet machines
  88. Modeling hysteresis curves of La(FeCoSi)13 compound near the transition point with the GRUCAD model
  89. Electro-magneto-hydrodynamic lubrication
  90. 3-D Electromagnetic field analysis of wireless power transfer system using K computer
  91. Simplified simulation technique of rotating, induction heated, calender rolls for study of temperature field control
  92. Design, fabrication and testing of electroadhesive interdigital electrodes
  93. A method to reduce partial discharges in motor windings fed by PWM inverter
  94. Reluctance network lumped mechanical & thermal models for the modeling and predesign of concentrated flux synchronous machine
  95. Special Issue Applications of Nonlinear Dynamics
  96. Study on dynamic characteristics of silo-stock-foundation interaction system under seismic load
  97. Microblog topic evolution computing based on LDA algorithm
  98. Modeling the creep damage effect on the creep crack growth behavior of rotor steel
  99. Neighborhood condition for all fractional (g, f, n′, m)-critical deleted graphs
  100. Chinese open information extraction based on DBMCSS in the field of national information resources
  101. 10.1515/phys-2018-0079
  102. CPW-fed circularly-polarized antenna array with high front-to-back ratio and low-profile
  103. Intelligent Monitoring Network Construction based on the utilization of the Internet of things (IoT) in the Metallurgical Coking Process
  104. Temperature detection technology of power equipment based on Fiber Bragg Grating
  105. Research on a rotational speed control strategy of the mandrel in a rotary steering system
  106. Dynamic load balancing algorithm for large data flow in distributed complex networks
  107. Super-structured photonic crystal fiber Bragg grating biosensor image model based on sparse matrix
  108. Fractal-based techniques for physiological time series: An updated approach
  109. Analysis of the Imaging Characteristics of the KB and KBA X-ray Microscopes at Non-coaxial Grazing Incidence
  110. Application of modified culture Kalman filter in bearing fault diagnosis
  111. Exact solutions and conservation laws for the modified equal width-Burgers equation
  112. On topological properties of block shift and hierarchical hypercube networks
  113. Elastic properties and plane acoustic velocity of cubic Sr2CaMoO6 and Sr2CaWO6 from first-principles calculations
  114. A note on the transmission feasibility problem in networks
  115. Ontology learning algorithm using weak functions
  116. Diagnosis of the power frequency vacuum arc shape based on 2D-PIV
  117. Parametric simulation analysis and reliability of escalator truss
  118. A new algorithm for real economy benefit evaluation based on big data analysis
  119. Synergy analysis of agricultural economic cycle fluctuation based on ant colony algorithm
  120. Multi-level encryption algorithm for user-related information across social networks
  121. Multi-target tracking algorithm in intelligent transportation based on wireless sensor network
  122. Fast recognition method of moving video images based on BP neural networks
  123. Compressed sensing image restoration algorithm based on improved SURF operator
  124. Design of load optimal control algorithm for smart grid based on demand response in different scenarios
  125. Face recognition method based on GA-BP neural network algorithm
  126. Optimal path selection algorithm for mobile beacons in sensor network under non-dense distribution
  127. Localization and recognition algorithm for fuzzy anomaly data in big data networks
  128. Urban road traffic flow control under incidental congestion as a function of accident duration
  129. Optimization design of reconfiguration algorithm for high voltage power distribution network based on ant colony algorithm
  130. Feasibility simulation of aseismic structure design for long-span bridges
  131. Construction of renewable energy supply chain model based on LCA
  132. The tribological properties study of carbon fabric/ epoxy composites reinforced by nano-TiO2 and MWNTs
  133. A text-Image feature mapping algorithm based on transfer learning
  134. Fast recognition algorithm for static traffic sign information
  135. Topical Issue: Clean Energy: Materials, Processes and Energy Generation
  136. An investigation of the melting process of RT-35 filled circular thermal energy storage system
  137. Numerical analysis on the dynamic response of a plate-and-frame membrane humidifier for PEMFC vehicles under various operating conditions
  138. Energy converting layers for thin-film flexible photovoltaic structures
  139. Effect of convection heat transfer on thermal energy storage unit
Downloaded on 11.2.2026 from https://www.degruyterbrill.com/document/doi/10.1515/phys-2018-0135/html
Scroll to top button