Generalized finite difference method for a class of multidimensional space-fractional diffusion equations

Sun, Hong; Wang, Zhaoyang; Nie, Jiayi; Zhang, Yong

doi:10.1007/s00466-020-01917-y

Cited by 11 publications

(2 citation statements)

References 53 publications

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“…First, a segmentation threshold value needs to be given, the gray value of the points in the grayscale image is compared with the given segmentation threshold value, and the grayscale image is converted into a binary image according to the result of the comparison. For this reason, the maximum interclass difference method [ 32 , 33 ] is used to extract the threshold value in the grayscale difference image.…”

Section: Goal Detection Algorithm In Modern Sports Basketball Shootin...mentioning

confidence: 99%

Concrete Application of Computer Virtual Image Technology in Modern Sports Training

Chi

Li²

2022

Computational Intelligence and Neuroscience

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The efficiency of basketball shooting training has always been an urgent problem to be solved in basketball sports. Applying computer virtual image technology to basketball sports training is the key to improve basketball shooting ability and improve the effect of basketball sports training. Therefore, based on the design of basketball shooting automatic recognition system based on the background difference method, this study puts forward the specific application of computer virtual image technology in modern sports training. By analyzing the techniques of image denoising, image detection, and image calibration, a goal detection algorithm for modern sports basketball shooting training is designed. Firstly, the camera is used for image capture, the RGB image is converted into gray image, and the median filter is used to suppress the noise in the image. Then, the background difference method is used to detect the moving region, and the background modeling is combined with the mean method. After obtaining the background reference model, the image is differentiated, the gray image after image difference is binarized, and then the binary image is postprocessed by morphological middle closure operation. Finally, the image calibration technology is used to extract the basketball feature information. Through the region segmentation algorithm, the basketball shooting part is segmented and judged, so as to realize the basketball shooting training goal detection. The experimental results show that the proposed method has a good effect on basketball shooting training goal detection and can effectively improve the detection accuracy and efficiency.

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Section: Goal Detection Algorithm In Modern Sports Basketball Shootin...mentioning

confidence: 99%

Concrete Application of Computer Virtual Image Technology in Modern Sports Training

Chi

Li²

2022

Computational Intelligence and Neuroscience

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show abstract

“…Yan et al [33] studied the dynamics of a Mindlin-Herrmann rod with surface piezoelectric patches adopting the reverberation matrix method. Sun et al [34] proposed the generalized finite difference method to solve space-fractional diffusion equations. Cao et al [35][36][37] analysed the vibrations of rods with the help of the Cosserat rod element approach.…”

Section: Introductionmentioning

confidence: 99%

Dynamic stiffness method for exact longitudinal free vibration of rods and trusses using simple and advanced theories

Liu

Zhao

Zhou

et al. 2022

Applied Mathematical Modelling

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Numerical boundary treatment for shock propagation in the fractional KdV-Burgers equation

2021

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Generalized finite difference method for a class of multidimensional space-fractional diffusion equations

Cited by 11 publications

References 53 publications

Concrete Application of Computer Virtual Image Technology in Modern Sports Training

Concrete Application of Computer Virtual Image Technology in Modern Sports Training

Dynamic stiffness method for exact longitudinal free vibration of rods and trusses using simple and advanced theories

Numerical boundary treatment for shock propagation in the fractional KdV-Burgers equation

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