Fully discrete convergence analysis of non-linear hyperbolic equations based on finite element analysis

Zhang, Qingli

doi:10.2478/amns.2019.2.00041

Cited by 12 publications

(4 citation statements)

References 13 publications

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“…In the hand action tracking and recognition module, hand segmentation is first performed after acquiring the image data to realize the separation of image foreground and background, and the hand in the image is extracted. en, the segmented hand data is passed to the hand pose estimation algorithm to calculate the 3D coordinates of the joint hand points [23]. e 3D collective energy coordinate data are used for hand dance state data calculation in hand dance state data visualization on the one hand, and on the other hand, it will be used to calculate the features in the gesture recognition module to realize the recognition of the current gesture category.…”

Section: Dancers' Morphological Tracking Technology and Limbmentioning

confidence: 99%

Movement Evaluation Algorithm-Based Form Tracking Technology and Optimal Control of Limbs for Dancers

Chen

2022

Mathematical Problems in Engineering

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This study designs an optimal control model of dance personnel from tracking technology and limb control based on an action evaluation algorithm by constructing a human action evaluation algorithm model and conducting an in-depth study of dance personnel from tracking technology and limb control. This study proposes an OpenPose method based on pose flow optimization to address the false detection of vital human points and misconnection between critical issues in traditional OpenPose-based human pose estimation. The human pose estimation results of OpenPose are optimized by using the human pose flow information in the image sequence. This makes up for the shortcomings of traditional OpenPose that ignores the interframe image information. In this study, we analyze the experimental data of action evaluation, define a set of formulas to evaluate the action after summarizing the distribution pattern of DTW difference sample points from 8 angles, and design an action evaluation system to demonstrate the rationality of this action evaluation method. Since the bases and factors in the evaluation formula are constantly recalculated as the action changes, which increases the complexity of the evaluation method, the following work is to improve the parameters of the activity evaluation formula, so that the evaluation method has better efficiency and adaptability. To enhance the effect of action recognition, this study uses the Kinect sensor to obtain the 3D coordinates of 20 skeletal joints of the human body. It uses the relative distance and angle sequence of the joints as the feature parameters according to the characteristics of human posture. In static pose recognition, the feature vector’s sample set is trained, and the KNN algorithm is used as a classifier to recognize the pose.

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Section: Dancers' Morphological Tracking Technology and Limbmentioning

confidence: 99%

Movement Evaluation Algorithm-Based Form Tracking Technology and Optimal Control of Limbs for Dancers

Chen

2022

Mathematical Problems in Engineering

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“…e traditional fuzzy image restoration methods are mainly divided into three categories: one is the blind restoration of the fuzzy image based on the frequency-domain characteristics of the digital image; the other is the defocused fuzzy image restoration, which keeps the original edge characteristics; the other is the fuzzy restoration of the moving image in the direction of coordinate transformation [17,18]. Each blurred image has its own characteristics, such as the degradation of a speci c region in the image and the front and back distortion of the image.…”

Section: Introductionmentioning

confidence: 99%

Application of Discrete Mathematical Model in Edge Distortion Correction of Moving Image

Liu

2022

Discrete Dynamics in Nature and Society

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The existing edge distortion correction methods of moving images ignore the consistency of human subjective vision in the restoration process. Therefore, this study proposes an edge distortion correction method of moving images using a discrete mathematical model. According to the image binarization, the moving target region is segmented, the motion fuzzy degradation model is constructed by using the discrete mathematical model, the global structure information of the image is considered by the structure similarity, the image gradient is transformed from the rectangular coordinate system to the polar coordinate system, the image deconvolution algorithm of the edge distribution of the natural image is used to enhance the image edge features, and the edge distortion correction of the moving image is realized. The experimental results show that the astringency of the experimental scattergram is obviously improved, the fitting line is almost a straight line, and it has good recognition of the jump of the gray level of noise points, which can meet the requirements of the consistency of the subjective vision of human eyes.

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“…The sensitivity analysis method based on interval theory can effectively compensate for the deficiencies of traditional sensitivity calculation methods, especially for non-linear systems, with higher calculation efficiency and more accurate results [23]. Therefore, in the machine tool design and assembly process, it is possible to avoid the poor accuracy caused by the loose geometric accuracy or unnecessary costs due to the tight accuracy, so as to achieve the purpose of guiding the machine tool design and assembly.…”

Section: Introductionmentioning

confidence: 99%

A Geometric Accuracy Error Analysis Method for Turn-Milling Combined NC Machine Tool

Zhao

Luo

2020

Symmetry

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Turn-Milling Combined NC machine tool is different from traditional machine tools in structure and process realization. As an important means in the design stage, the analysis method of geometric accuracy error is also different from the traditional method. The actual errors and the error compensation values are a pair of "symmetry" data sets which are connected by the movement of machine tools. The authors try to make them more consistent through this work. The geometric error terms were firstly determined by topological structure analysis, then based on homogeneous coordinate transformation and multibody system theory, the geometric error model was established. With the interval theory, the function rule of sensitivity of geometric error sources to spatial errors was analyzed in detail, and the global maximum interval sensitivity of nine geometric error sources was extracted, providing a theoretical basis for error compensation and precision distribution. The geometric error sensitivity analysis method proposed in this paper can accurately evaluate the influence weights of each error term on the machining accuracy, and identify the important sensitive error terms with great influence on the machining accuracy from many error terms.

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Fully discrete convergence analysis of non-linear hyperbolic equations based on finite element analysis

Cited by 12 publications

References 13 publications

Movement Evaluation Algorithm-Based Form Tracking Technology and Optimal Control of Limbs for Dancers

Movement Evaluation Algorithm-Based Form Tracking Technology and Optimal Control of Limbs for Dancers

Application of Discrete Mathematical Model in Edge Distortion Correction of Moving Image

A Geometric Accuracy Error Analysis Method for Turn-Milling Combined NC Machine Tool

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