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Stereo vision information system using median theorem and attitude compensation with nonlinear differential equations. (English) Zbl 07507557

Summary: Using computer vision technology to obtain and analyze biomechanical information is an important research direction in recent years. However, the linear model in the computer vision system cannot accurately describe the geometric relationship of the camera imaging, so it is difficult to realize human posture recognition in high-precision mechanics information. Therefore, how to improve the recognition accuracy is very important. In this paper, we apply nonlinear differential equations to stereo computer vision (SCV) information systems. And based on the median theorem, a nonlinear posture recognition and error compensation algorithm based on BP neural network is proposed to reduce the recognition error. The test set uses the Leeds Motion Pose (LSP) dataset to verify the performance of the algorithm. Experimental results show that the compensated median filter of BP neural network can eliminate glitches in attitude data. Superimposing the output attitude error compensation value with the attitude estimation value can greatly reduce the root-mean-square error of the attitude angle. The result of gesture recognition is closer to reality. Compared with traditional algorithms, the cyclomatic complexity of the proposed BP neural network algorithm has a much lower growth rate in high-order calculations, which indicates that the proposed BP neural network algorithm is more concise and scalable.

MSC:

65Mxx Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
34Kxx Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
35Kxx Parabolic equations and parabolic systems
Full Text: DOI

References:

[1] Kumari, D. and Kaur, K., A survey on stereo matching techniques for 3D vision in image processing, Int. J. Eng. Manuf.4 (2016) 40-49.
[2] Baskonus, H. M., Bulut, H. and Sulaiman, T. A., New complex hyperbolic structures to the Lonngren-wave equation by using sine-Gordon expansion method, Appl. Math. Nonlinear Sci.4 (2019) 129-138. · Zbl 1524.35391
[3] McGuire, K., De Croon, G. and De Wagter, C., Efficient optical flow and stereo vision for velocity estimation and obstacle avoidance on an autonomous pocket drone, IEEE Robot. Autom. Lett.2 (2017) 1070-1076.
[4] Kanellakis, C. and Nikolakopoulos, G., Survey on computer vision for UAVs: Current developments and trends, J. Intell. Robot. Syst.87 (2017) 141-168.
[5] Muñoz-Benavent, P., Andreu-García, G. and Valiente-González, J. M., Enhanced fish bending model for automatic tuna sizing using computer vision, Comput. Electron. Agric.150 (2018) 52-61.
[6] Rizzini, D. L., Kallasi, F. and Aleotti, J., Integration of a stereo vision system into an autonomous underwater vehicle for pipe manipulation tasks, Comput. Electr. Eng.58 (2017) 560-571.
[7] Probst, T., Maninis, K. K. and Chhatkuli, A., Automatic tool landmark detection for stereo vision in robot-assisted retinal surgery, IEEE Robot. Autom. Lett.3 (2017) 612-619.
[8] de Araujo, P. R. M. and Lins, R. G., Computer vision system for workpiece referencing in three-axis machining centers, Int. J. Adv. Manuf. Technol.106 (2020) 2007-2020.
[9] Yang, L., Wang, B. and Zhang, R., Analysis on location accuracy for the binocular stereo vision system, IEEE Photonics J.10 (2017) 7800316.
[10] Wu, S., Research on the application of spatial partial differential equation in user oriented information mining, Alex. Eng. J.59 (2020) 2193-2199.
[11] Sun, J., Zhang, Y. and Cheng, X., A high precision 3D reconstruction method for bend tube axis based on binocular stereo vision, Opt. Express27 (2019) 2292-2304.
[12] Tu, J. and Zhang, L., Effective data-driven calibration for a galvanometric laser scanning system using binocular stereo vision, Sensors18 (2018) 197.
[13] Wang, Y., Wang, X. and Yin, L., Estimation of extrinsic parameters for dynamic binocular stereo vision using unknown-sized rectangle images, Rev. Sci. Instrum.90 (2019) 065108.
[14] Wang, Y., Wang, X. and Wan, Z., A method for extrinsic parameter calibration of rotating binocular stereo vision using a single feature point, Sensors18 (2018) 3666.
[15] Wei, Z. and Zhao, K., Structural parameters calibration for binocular stereo vision sensors using a double-sphere target, Sensors16 (2016) 1074.
[16] Moaaz, O., Kumam, P. and Bazighifan, O., On the oscillatory behavior of a class of fourth-order nonlinear differential equation, Symmetry12 (2020) 524. · Zbl 1454.34094
[17] Toh, Y. T., Phang, C. and Loh, J. R., New predictor-corrector scheme for solving nonlinear differential equations with Caputo-Fabrizio operator, Math. Methods Appl. Sci.42 (2019) 175-185. · Zbl 1412.65053
[18] Wu, S., Internet public informatioan text data mining and intelligence influence analysis for user intent understanding, J. Intell. Fuzzy Syst.38 (2020) 487-494.
[19] Woollands, R. and Junkins, J. L., Nonlinear differential equation solvers via adaptive Picard-Chebyshev iteration: Applications in astrodynamics, J. Guid. Control Dyn.42 (2019) 1007-1022.
[20] Kiltu, G. G. and Duressa, G. F., Accurate numerical method for Liénard nonlinear differential equations, J. Taibah Univ. Sci.13 (2019) 740-745.
[21] Mortari, D., Johnston, H. and Smith, L., High accuracy least-squares solutions of nonlinear differential equations, J. Comput. Appl. Math.352 (2019) 293-307. · Zbl 1462.65153
[22] Siddig, A., Guo, Z. and Zhou, Z., An image denoising model based on a fourth-order nonlinear partial differential equation, Comput. Math. Appl.76 (2018) 1056-1074. · Zbl 1435.94047
[23] Özkaynak, F., Brief review on application of nonlinear dynamics in image encryption, Nonlinear Dyn.92 (2018) 305-313.
[24] Barbu, T., Variational image inpainting technique based on nonlinear second-order diffusions, Comput. Electr. Eng.54 (2016) 345-353.
[25] Korkmaz, F. B. and Bektaandş, M., Second binormal motions of inextensible curves in 4-dimensional Galilean space, Appl. Math. Nonlinear Sci.5 (2020) 249-254. · Zbl 1524.53028
[26] Zhao, Y., Analysis of trade effect in post-Tpp era: Based on gravity model and Gtap model, Appl. Math. Nonlinear Sci.5 (2020) 61-70. · Zbl 1524.91061
[27] Wu, S., Zhang, Q., Chen, W., Liu, J. and Liiu, L., Research on trend prediction of internet user intention understanding and public intelligence mining based on fractional differential method, Chaos Solitons Fractals128 (2019) 331-338.
[28] Garriga, E., Di Tommaso, P. and Magis, C., Large multiple sequence alignments with a root-to-leaf regressive method, Nat. Biotechnol.37 (2019) 1466-1470.
[29] Schmid, S. F., Stöcklin, J. and Hamann, E., High-elevation plants have reduced plasticity in flowering time in response to warming compared to low-elevation congeners, Basic Appl. Ecol.21 (2017) 1-12.
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