# Application of Rotationally Symmetrical Triangulation Stereo Vision Sensor in National Dance Movement Detection and Recognition

Authors: DaiLi Jiang
Journal: Wireless Communications and Mobile Computing
 (2022)

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## Abstract

Information acquisition is an important branch of information science. It is the product of the development and cross-integration of traditional sensing technology and other multidisciplines. It is characterized by the high precision, high speed, integration, and intelligence of information acquisition. An important part of information acquisition, it studies how to acquire the geometric structure and scale information of objects in three-dimensional space. With the continuous development of the level, the acquisition of 3D information has become more and more important in scientific research and industrial production. This paper takes 3D information acquisition technology as the main line. From the perspectives of fusion, effectiveness, physical limit, and measurement efficiency, high-resolution 3D information acquisition techniques are studied. In this paper, the upper and lower limb movements of each behavioral segment are segmented according to the difference. An omnidirectional stereo vision sensor composed of a single camera and two secondary conical mirrors is designed, which solves the problems of large size, narrow field of view, and asynchronous image acquisition of traditional binocular vision sensors, effectively ensuring image perspective. The invariance of projection avoids image distortion caused by curved mirror imaging and reduces the difficulty of subsequent work. The three-dimensional Delaunay triangulation algorithm is used to replace the traditional Poisson reconstruction algorithm to generate the triangular mesh model. The triangular mesh model obtained by the multiview stereo reconstruction algorithm is relatively rough. This article uses Zbrush’s ZRemesher and geometric-divide functions to smooth and simplify the model. The results show that the accuracy of the algorithm proposed in this paper is as high as 89.25% in the motion recognition of body elements. The dynamic mapping method is used to map the texture of the triangular mesh model, so that the realism of the model reaches 91.23%.


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## Body

## 1. Introduction

In recent decades, with the booming of computer vision, machine learning, and artificial intelligence, machine vision-based perception and human-computer interaction technologies have been developed significantly [1]. Camera-based vision sensors, supplemented by infrared depth sensors (IR-ToF), inertial sensors (IMU), and other composite sensors have provided us with massive, multidimensional image and video data resources; the widespread use of Internet technology, especially the popularity of smart mobile devices, has further simplified the way people access visual resources [2]. In the face of massive data, how to quickly process, accurately identify, and analyze the image and video information content has become an important issue in the field of computer vision. Further, the goal of human-computer interaction technology based on computer vision is to study how to simulate human vision and the human brain’s external perception, so that “machines can adapt to humans” and computers can understand human behavioral expressions. The vision-based interaction technology is aimed at using computer vision as an effective input modality in human-computer interaction to detect, locate, track, and recognize valuable behavioral visual cues in user interaction and then predict, understand, and respond to user interaction intentions, especially through the recognition of postures, gestures, and activities, to assist humans in their work and even surpass human cognitive speed and accuracy [3]. In particular, the recognition of postures, gestures, and activities can assist human work and even surpass human cognitive speed and accuracy to achieve more efficient human-machine behavioral interaction. Among the above aspects, human pose estimation has long been an important topic in the field of intelligent human-machine interaction. Pose recognition is the basis for action and behavior recognition, and 3D human pose estimation is more complex than 2D pose estimation tasks because it introduces spatial parameter information such as depth. The 3D human pose estimation task estimates the position, rotation, and pose parameters of the human body in a camera coordinate system or world coordinate system from the input single frame or continuous image sequence; among them, the monocular camera view and RGB image input are the most urgent and valuable directions with the least constraints and the widest application scenarios.Panoramic stereo sensing 3D measurement and 3D reconstruction is an emerging technology with great development potential and practical value, which can be widely used in many fields such as aerospace, medical treatment, robot vision, industrial inspection, intelligent transportation, mold rapid prototyping, virtual reality, geographic survey, animation film and television, and game production. Vision-based 3D reconstruction methods are divided into binocular (multivision) stereo vision method and monocular stereo vision method [4]. As an important branch of computer vision technology, vision-based 3D reconstruction technology is based on Marr’s vision theoretical framework and has formed a variety of theoretical methods. For example, according to the number of cameras, it can be divided into monocular vision method, binocular vision method, and multivision method; according to the different principles, it can be divided into area-based vision method, feature-based vision method, model-based vision method, and rule-based vision method. At present, most panoramic stereo perception technologies use multivision or binocular methods (multiple cameras) to shoot the subject-object or scene from different viewpoints simultaneously or use monocular methods (single camera) to shoot the subject-object or scene from different viewpoints separately. Monocular vision-based 3D reconstruction refers to the use of a single camera to capture images for 3D reconstruction [5]. The images can use single or multiple images from a single viewpoint or multiple images from multiple viewpoints. Single point-of-view imaging can be used to obtain object depth information by analyzing two-dimensional features of the image, i.e., the X-recovery shape method. This type of method has a simple equipment structure and can achieve 3D geometric model reconstruction using a single image or a few images but requires idealized imaging and reconstruction conditions. Multiview imaging matches feature points in different images according to the relevant constraints and derives the 3D spatial coordinates according to the matching constraints to achieve 3D model reconstruction. This type of method can realize the reconstruction process camera self-calibration, suitable for large 3D scene reconstruction, when the image information is more adequate reconstruction effect is better, but the operation is complex, and the reconstruction time is longer. Use the camera shooting position and lens angle to reduce shooting errors, so as to obtain better imaging results.China is a multiethnic country with a long history and a vast territory, and the long years have created a profound cultural accumulation, resulting in colorful and colorful folk dances, operas, and martial arts. However, some folk dances and operas are in danger of being lost due to unstable transmission methods and longevity [6]. These performing arts are valuable treasures of the Chinese nation and an important part of intangible cultural heritage, which needs to be recorded, protected, and passed down intact. The transmission of human culture relies on symbolic systems, such as words for recording language, pentameter for recording music, and dance scores for recording movements [7]. Without symbol systems, the transmission and development of culture would be constrained. With the development of artificial intelligence technology, computers can now convert a speech into words and music of a single instrument into a pentatonic score, but it is difficult for computers to convert a human movement into a dance score. The research in this paper tries to fill this technical gap by using 3D human motion capture data to generate a folk dance score, which solves the problem of computer difficulty in converting 3D human motion into a movement score, fills the absence of a movement recording method from the computer technology level, and improves the recording and transmission system of human movement.


## 2. Related Works

With the development of science and technology nowadays, image recording has become the most direct and common way to record. With the help of cameras, the dance movements of actors are recorded in the form of photos or videos. However, it is difficult to record the actors’ dance movements in an all-around way, even with multiple cameras, and the recorded data can only be recorded from a limited angle [8]. The involvement of dance artists and performers is also required in the reproduction. The acquired data is difficult to be exploited further. If one wishes to modify the acquired data, it requires the performers to reperform it all over again, generating a large amount of work. With the application of digitalization in the field of folk dance, a technical solution for digital preservation and display of folk dance has emerged, which uses skeletal mask animation for virtual dance display based on the acquired movement data [9]. Folk dances from different regions vary greatly, with different costumes and dance forms, and even for minority dances from the same region, each dance is similar in style but also has its characteristics. However, it is difficult to show the unique flavor of folk dances through stick models or manually drawn models, which requires a three-dimensional display to describe the movements of folk dancers in sufficient detail and restore the original dance posture. According to the model analysis, the calculation method of the relevant size is given, and the structural design steps of the single-camera omnidirectional stereo vision sensor are given in combination with the influence of parameters on the accuracy.The algorithm process for single-person pose recognition usually consists of inferring the human body detection region from the input image through the target detection network, cropping the human body region, and then finding the coordinates of the key points of the human body within the detection region. Such problems are often based on powerful deep convolution neural networks, which use iterative convolution, pooling, or residual networks to extract two-dimensional features such as heatmap, and obtain the key point coordinates and confidence level by taking the maximum autocorrelation coordinates [10]. Single target recognition is the basis of all human pose recognition, and the method of convolutional networks regressing two-dimensional key point locations through supervised learning forms the basis of most subsequent algorithms for human pose recognition based on depth methods. The early motion segmentation methods mainly studied one or several kinematic features and used them to determine the segmentation position. Trivedi et al. proposed a segmentation algorithm based on joint space when they studied human arm motion simulation and data analysis [11]. Wang et al. proposed a method to segment motion data by detecting motion velocity changes when they studied content-based multimedia information retrieval [12].With the rapid development of computer intelligent vision technology, the correction of wrong movements realized by image recognition can not only correct the dancer’s dance posture and assist the dancer’s training but also produce important value for dance technique analysis and promote the development of sports dance [13]. However, due to the complex movements of sports dance, there are many kinds of movements, and the difficulty of image recognition is high, so the image signal-to-noise ratio obtained by traditional image processing methods is low, and the visual effect is poor, which cannot meet the user’s requirements for the accuracy of wrong movement recognition and make it difficult to realize comprehensive correction of dance movements. To eliminate the influence of factors such as movement speed, light intensity, and occlusion, Li et al. proposed a feature extraction-based approach to study the problem of adaptive recognition of erroneous action images [14]. Oparina et al. proposed a semidirect method of image linearity tracking matching algorithm [15]. Firstly, the important regions of the image are selected for feature point feature and linear feature matching; secondly, the motion recovery structure method is used to reconstruct the feature points; next, the linear feature point tracking and camera pose estimation are realized by using the inverse synthesis image; finally, the tracking and matching of linear feature points are completed by combining the tracking feature points, so that the points with the low matching degree can be obtained as the basis for wrong action correction.


## 3. Folk Dance Temporal Segmentation Algorithm for Limb Movement

Action recognition methods commonly include probabilistic statistics-based methods, model-based methods, and syntax-based methods. There are three main traditional action recognition feature extraction methods: one is based on human joint point features; the other is based on optical flow, and the third is based on spatiotemporal interest points. In addition to traditional action recognition feature extraction methods, there are also deep learning-based feature extraction methods that can be effectively applied to human action recognition. The model-based action recognition method refers to the reference model of some predefined standard actions, then compares the actions to be recognized with the standard actions, and finally realizes the classification and recognition of the actions to be recognized [16]. Based on the cooperation, we propose to first divide the limb movements into different behavior segments and then divide and conquer the upper and lower limb movements in each behavior segment based on the differences. Template matching, dynamic programing, and dynamic time warping are all specific methods of model-based action recognition. The method based on the human joint point feature is based on the principle that the skeletal structure determines the human motion, and the motion is tracked and analyzed by the change of joint point, which is not disturbed by environmental factors but ignores some flexible changes of muscle or shape will make the motion recognition produce a great error, as shown in Figure 1.Figure 1
Action recognition method based on human joint point features.The current recognition of human action is currently divided into two main technologies based on computer vision images and based on wearable devices according to the way the recognition system works. Action recognition based on sequential data can be divided into offline action recognition and online action recognition according to the output method of action tags. Online action recognition has sequential and real-time nature compared to offline action recognition. Most of the motion recognition used nowadays in the fields of animation, gait analysis, biomechanics, ergonomics, etc. can be extended to motion capture technology or dynamic capture technology. Motion capture can be subdivided into real-time and non-real-time capture from the perspective of real-time.(1)Et+1−2XCt+X2≤δ1,ut+1=maxαmin,δut.After obtaining the upper and lower limb element movements through motion segmentation, the focus of analysis and recognition is to judge their Laban symbols, i.e., to determine the time, corresponding body part, and direction of the movements. The action time can be determined by the number of frames of motion capture data, the corresponding body parts can be determined by the corresponding nodes in the human skeleton model, and the action direction needs to be judged separately for the different nature of upper and lower limb actions in terms of Laban direction category. The goal of human-computer interaction technology based on computer vision is to study how to simulate human vision and the external perception of the human brain, so that “machines can adapt to humans” and computers can understand human behavioral expressions. For the same human action, after motion capture device acquisition, different human skeleton scale information and different human orientation angle information will cause the difference in motion data, so the normalized node 3D coordinates and Li group features based on human skeleton topology are used to represent the motion data to eliminate the influence of different scales and angles on the data.For the upper limb movements, its analysis and recognition need to focus on the characteristics of the final gesture, from the rule-based perspective, we propose to use normalized coordinates to calculate the limb vector features to recognize the movements through the folk dance space division method, and from the neural network-based perspective, we propose to use the Li group features to recognize the movements through the subsample aggregation limit learning network and then get the recognition results of the upper limb movements through the strategy fusion to generate the upper limb dance spectrum [17]. For the lower limb movements, since their analysis and recognition need to focus on the moving process, to make full use of the temporal and spatial information in the motion sequences, we propose to recognize the movements with skeletal features through a two-way gated recurrent unit neural network, to recognize the movements with Li group features through a Li group network, and then to combine the advantages of the two neural networks to obtain the recognition results of the lower limb movements through network fusion and generate the lower limb dance score.
(2)pxθ=∑k=1nβkαϕxθk.To validate the proposed method, the datasets used in this chapter include three self-collected datasets (datasetsX, Y, and Z) and the Mocap dataset, each of which is briefly described below.Dataset X: upper limb elemental action dataset. It contains 462 elemental actions, 228 for the left arm and 234 for the right arm, which is manually segmented and labeled with categories. The number of frames per elemental action is about 200, and each of the left arm and right arm contains 10 common categories.Dataset Y: lower limb elemental action dataset. It contains 21085 elemental movements, which are manually segmented and labeled with categories. Both the left and right legs contain 48 categories, including 8 horizontal and 6 vertical categories. Each category contains 400 elemental actions, and the number of frames of elemental actions ranges from 95 to 200 frames.Dataset Z: Continuous limb movement dataset. It includes 122 continuous movements of walking gait (vertical and horizontal change of center of gravity), jumping gait, and arm swing, covering most of the basic limb movements.Mocap dataset: a behavioral (continuous limb movement) motion capture dataset. It contains a variety of behaviors such as walking up steps, moving from sitting to standing, cleaning windows, and throwing punches. The data was recorded with the cooperation of 152 volunteers. The signal is processed by a computer to obtain the spatial position information of different objects (trackers) on different time measurement units.A motion capture system is a device used to accurately measure the motion of a moving object in a three-dimensional space. It records the motion of a moving object (tracker) in the form of a signal utilizing capture devices arranged in space and then uses a computer to process the signal to obtain information about the spatial position of different objects (trackers) on different units of time measurement. A complete motion capture system consists of roughly the following components: sensors, signal capture equipment, data transmission equipment, data processing equipment, etc. In this paper, the equipment used to capture dynamic arts such as folk dance, opera, and martial arts belongs to the optical motion capture OptiTrack-marked motion capture system. The operation flow of the OptiTrack motion capture system is shown in Figure2. The motion capture system requires camera calibration first, using dynamic and static calibration rods to determine the camera’s internal (focal length, optical center) and external (position and orientation in 3D physical space) parameters [18]. Then comes the model initialization, OptiTrack optical motion capture pastes passive reflective marker points on key parts of the human body, detects and tracks the marker points using multiple cameras, and solves the spatial position of the marker points by stereo vision technology, to obtain the motion data of human joints in physical space. Then the motion capture process starts, and the system records the complete human motion trajectory. Finally, the motion capture data in BVH (Biovision Hierarchy) format is output.Figure 2
Motion capture system operation flow.In a segment of 3D human motion capture data, a series of continuous folk dance element movements are included. The main task of this chapter is to slice and dice the human body motion to get the limb element movements and prepare for the subsequent element movement recognition. Since the upper and lower limb movements are synergistic, and the upper and lower limb movements are different in the folk dance analysis due to their relationship with the center of gravity of the human body, we propose to segment the limb movements into different behavioral segments and then divide and conquer the upper and lower limb movements in each behavioral segment based on the differences [19]. In the behavior segmentation, this chapter adopts the subspace clustering algorithm based on the regular constraint of the elastic net to segment the limb behavior segments by using the association between adjacent frames of temporal data. In the action segmentation of folk dance elements, the difference between upper and lower limb actions is that the analysis of upper limbs generally does not consider the body’s center of gravity, while the analysis of lower limbs focuses on the center of gravity movement process. Therefore, a segmentation method based on a combination of rate threshold and region division without considering the center of gravity is proposed for the upper limb movements, and a segmentation method based on the directional cut of the center of gravity movement and Gaussian mixture model is proposed for the lower limb movements.


## 4. Folk Dance Movement Recognition Based on Single-Camera Omnidirectional Stereo Vision

The single-camera omnidirectional stereo vision sensor measurement system mainly consists of a computer, image acquisition card, camera, and quadratic cone reflector optical system. The quadrilateral reflector optical system is two quadrilateral reflectors placed on the top and bottom, coaxially, the upper quadrilateral eliminates the top, covered with a rectangular plane mirror, the lower quadrilateral hollows without a top, and the center of the camera and the optical axis are perpendicular to the upper and lower planes [20]. Center camera O forms virtual camera A by oblique imaging of upper prism, virtual camera B by plane imaging of upper prism, and virtual camera C by secondary imaging of lower prism One shot can get a pair of images with parallax, which is equivalent to virtual cameras A and C shooting from different directions. Like the traditional binocular vision principle, the use of space points in a pair of virtual camera image plane imaging coordinates can be derived from the three-dimensional coordinates of space points to achieve the function of binocular vision measurement. Since the quadrilateral prism reflector optical system is completely symmetrical in four horizontal directions, it can constitute four pairs of virtual cameras, thus realizing binocular measurement in each horizontal direction. Pose recognition is the basis of action and behavior recognition, and 3D human pose estimation is more complicated than 2D pose estimation because it introduces spatial parameter information such as depth.Four prismatic reflectors optical system imaging is more complex; the upper and lower prism size, bevel angle, relative distance, and camera installation position directly affect the sensor field of view range, working distance, measurement accuracy, size, and other key indicators. The upper and lower prism size and bevel angle and the scope of the public field of view, shape, and measurement distance are closely related, and inappropriate parameter settings may lead to an insufficient field of view or no public field of view; upper and lower prism relative distance directly affects the baseline distance and sensor volume, inappropriate distance will lead to reduced accuracy, and the sensor structure is large and redundant; camera installation position affects the proportion of the imaging area reasonably [21]. The reasonable placement of the camera can make the field of view increased and the measurement accuracy improved. The size of each structure of the quadrilateral cone reflector optical system is the key to the sensor design. At the same time, the measurement accuracy as an important performance index of the sensor design plays a key role in influencing the parameter configuration. The calculation method of relevant dimensions is given according to the model analysis, and the structural design steps of the single-camera omnidirectional stereo vision sensor are given in combination with the influence of parameters on the accuracy.The method of recovering depth information by using monocular images, i.e., taking various cues in a single or multiple images using only a single camera in a fixed position, is called the monocular image method. This method is often referred to as “getting shape from X” or “recovering shape from X,” where X can represent light changes, light and dark, contours, and textures. The method of using light variations is called photometric stereology. The orientation of the target surface in a scene can be recovered using images acquired under a range of different lighting conditions. The images with different illumination can be obtained by shifting the light source, which is the light shift to recover the surface orientation. The method is characterized by its simplicity of implementation but requires controlled illumination. The orientation of the target surface corresponding to the given pixel can be determined by creating a lookup table using a correction target of a known shape. The method of using light and dark is called the recovering shape from light and dark method. When an object in a scene is illuminated by light, it will appear to have different luminance due to the different orientations of various parts of the surface. This spatial variation in luminance is manifested in the image after imaging as changes in brightness and darkness on the image, which are closely related to the orientation of various parts of the object’s surface. By establishing the image brightness constraint equation, the grayscale of the pixel can be associated with the orientation, so it is possible to solve the image brightness constraint equation to obtain the orientation of the target surface.(3)p=01000λ11λ0.According to the number of cameras, it can be divided into monocular vision method, binocular vision method, polycule vision method, rule-based visual methods, and more. With the advancement of technology, image sequences and video images have been widely used. The addition of temporal coordinates allows one to obtain information about motion from them, and the depth of the stereoscopic scene is further obtained by the motion information of the target. In recent years, optical flow has also been used in techniques for image processing and navigation control, including motion detection, image segmentation, calculation of focus, luminance, motion-compensated coding, and stereo parallax measurement. Motion estimation is a major aspect of optical flow research. Although optical flow fields are superficially like the dense motion fields derived from motion estimation, optical flow not only is a study of optical flow field determination but also can be applied to estimate three-dimensional properties and scene structure. In deriving the scene structure, the changes in the image are first represented by optical flow, and then the optical flow is used to derive the three-dimensional structure and motion of the object. However, the optical flow method has some drawbacks, for example, sometimes optical flow may be observed even if no motion occurs because of changes in illumination conditions, and in regions lacking changes in gray levels, actual motion is often not observed.(4)u1v=x1y1sx0Cx1sy0Cx01,wheresx is the distance between adjacent pixels in the horizontal direction of the image sensor, sy is the distance between adjacent pixels in the vertical direction of the image sensor, and cx,cy is the coordinates of the principal point of the image.
(5)xcyczc1=RT0T1xwywzw1.The core part of the laser vision sensor is the camera, and according to the different chip types, there are CCD cameras and CMOS cameras; CCD cameras use the photoelectric effect to convert optical signals into analog current signals and get digital images through signal amplification and analog-to-digital conversion processing; CMOS cameras are based on the complementary effect to get analog current signals and get digital images through signal amplification and analog-to-digital conversion processing. The CMOS camera is based on the complementary effect to obtain the analog current signal, and the digital image is obtained through signal amplification and analog-to-digital conversion. The size of a frame acquired by the camera in real-time in the laser vision sensor is640×480, and it is known from the image acquired without a filter that the image acquired without a filter often contains a lot of noise information; the filter filters out the noise and the gray value of some pixel points in the image acquired with a filter is less than 255. It is necessary to use an image preprocessing algorithm to enhance the contrast of the image so that the gray value of the pixel points in the stripe area and the background area in the image is less than 255. The difference between the gray value of the pixels in the stripe area and the background area is more obvious as shown in Figure 3. The commonly used image enhancement algorithms include histogram equalization, gamma transform, Laplace transform, and gray stretching algorithms.Figure 3
Schematic diagram of the grayscale distribution of the image.Pixel points of each region are counted, the overlapping and nonoverlapping regions between the projection map and the original segmentation map of each view are compared, and the error rate is calculated according tomaxpixelpointsoftheregionpresentintheoriginalmaponly,pixelpointsoftheregionpresentintheprojectiononly/common region pixel points, and the error test method 2 is to compare the intercept lengths in each direction of the projection and the original view. Using the original segmentation and projection listed in the data, the intercept length through the center point on each angle of the projection is calculated using the center as the reference, and the intercept length through the center point on each angle of the original segmentation is also calculated. Conditions requiring imaging and reconstruction are ideal. Multiview imaging matches feature points in different images according to relevant constraints and derives three-dimensional space coordinates according to the matching constraints. For each angle of the projection and original segmentation in each view direction, the error rate is calculated at WS−W0/W0, WS is the intercept length of the current projection at the current angle, and W0 is the intercept length of the current original segmentation at the current angle. The average of the errors over the 180 directions is used as the average error in the final view direction. Calculate the intercept length in each direction through the center point. Iterate over the pixel points, and calculate the angle t=arccoty/x based on the pixel point x,y relative to the center point. The angular errors are collated to obtain the angular error data for each view, as shown in Figure 4.Figure 4
Statistical results of error data for each viewpoint.In the analysis of the data obtained from the above experiments, the test error with both methods shows that the rear-view error is relatively large. Ideally, the main- and rear-view contours should be vertically symmetrical according to the mirror, so the error can be reduced by adjusting the placement angle of the object under test, the camera shooting position, and the lens angle to reduce the shooting error, to get a better imaging effect. During the experiment, we also found that due to the reflection of light from the surface of the object, sometimes the noise generated in the binarization of the initial image is larger, and for this influencing factor, we obtained a better reconstruction effect by adjusting the light source and the threshold value. The subsequent need to further improve the accuracy of the device, while reducing environmental interference, is to improve the accuracy of foreground extraction and reduce reconstruction errors.


## 5. Simulation Experimental Data Analysis and Results

This paper takes the Dai peacock dance as an example. In the process of 3D dance digitization, the dancers’ peacock movements such as running down the hill, walking in the forest, drinking water, chasing, playing, dragging wings, sunning wings, spreading wings, shaking wings, shining wings, pointing water, stomping branches, resting branches, opening screen, and flying are captured. Through the modeling software, the character model is created in 3D Studio Max according to the actual body proportions of the dancers, while the data of the task model is restored according to the Dai dance costume, and then the 3D data is bound to the data of the character model so that the dance can be restored. Compare the action to be recognized with the standard action, and finally realize the classification and recognition of the action to be recognized. Model matching, dynamic programming, and dynamic spatiotemporal warping are all specific methods for model-based action recognition.For the validity of partial hierarchical semantic segmentation, when there is a limb self-obscuring situation, the semantic segmentation based only on the whole body contour or only on the 2D key point annotation cannot escape from the multivalue ambiguity dilemma; because the self-obscuring relationship between limbs is shown, this part of depth information can be used to guide the geometric model to produce correct parameter results during segmentation supervision or optimization, and the geometric model can correctly distinguish the arm. The geometric model can correctly distinguish the anterior-posterior relationship and thus obtain the correct 3D pose parameters. Considering that the EllipBody model has fewer triangular facets compared to the SMPL model, it also has the advantage of faster forward time. In the test results of the LSP dataset, the EllipBody model with surface subdivision from 0 to 4 times has a4×4 growth in the number of facets, and the forward time eventually exceeds that of the SMPL model; the EllipBody model already has a higher prediction accuracy of human semantic segmentation than the SMPL model with a smaller number of facets; as the number of surface subdivision increases, the accuracy converges. The reason for this convergence is that when the projection resolution of individual slices in the rendering pipeline is lower than the minimum pixel size of 256×256 required as input to the network, the additional surface subdivision will no longer have a positive effect on improving segmentation prediction accuracy, as shown in Figure 5, i.e., a diminishing marginal effect.Figure 5
Model performance comparison results.Compared with offline action recognition, online action recognition is sequential and real-time. Most of the motion recognition currently used can be extended to motion capture technology or motion capture technology in the fields of animation, gait analysis, biomechanics, and ergonomics. The premise of extracting the centerline of the ROI region is to extract the ROI region from the image. The commonly used algorithms for extracting ROI region are threshold method, watershed segmentation method,K-means clustering method, and edge detection method. In this subsection, the edge detection algorithm is used to extract the ROI region from the acquired image after grayscale stretching and to reject the pixel points with a grayscale value less than K in the image, fm,n. The gradient operators are Laplacian, Roberts, Sobel, and Scharr. This subsection uses the Scharr operator to obtain the horizontal and vertical derivatives of the acquired image after grayscale stretching. From the gradient magnitude and column distribution images of the grayscale stretched acquisition image, it is known that there is more noise in the gradient magnitude image. The noise in the gradient magnitude image needs to be removed using the filtering algorithm. This subsection uses the Gaussian filtering algorithm to deal with the noise in the gradient amplitude image and sets the template window size to 7×7 and the standard deviation to 3. The Gaussian filtering algorithm can effectively remove the noise in the gradient amplitude image, but the edge of the stripes in the gradient amplitude image is relatively coarse after Gaussian filtering. Then the nonmaximum suppression algorithm is used to refine the streak edges in the Gaussian filtered gradient magnitude image, and the refined edge image is shown in Figure 6.Figure 6
Distribution of gradient amplitude.From Figure6, there are pixel points with relatively small gradient amplitude in column 202 of the refined stripe edge image, which is not conducive to the selection of stripe edges. Then the threshold method is used to suppress the pixel points with small gradient amplitude in the refined stripe edge image to obtain the actual stripe edge image. Since there are more than two extreme points of gradient amplitude in each column of the actual stripe edge image, we obtain the location of extreme points in each column of the actual stripe edge image by using the extreme value search algorithm, taking the location of the first extreme point in each column of the actual stripe edge image as the upper boundary value of each column, take the location of the last extreme point in each column of the actual stripe edge image as the lower boundary value of each column, and calculate the width value of each column of the actual stripe. The width of each column is calculated. The movement direction needs to be judged according to the different nature of the upper and lower limb movements. For the same human action, different human skeleton scale information and different human body orientation angle information will cause differences in motion data after being collected by motion capture equipment.The results were based on data set B. The recognition accuracy of 8 types of actions and 3 types of actions in the vertical direction “low,” “medium,” and “high” was calculated separately, considering that the number of each type of action in the data set Y. The number of actions in the horizontal direction is 3,200, and the number of actions in the vertical direction is 6,400, so we further counted the wrong score in case of recognition errors, and the corresponding confusion matrix is shown in Figure7. The accuracy rate of action recognition in the vertical direction is higher than that in the horizontal direction. The reason is that the number of categories in the vertical direction is smaller and the distance between classes is larger, which is easier to distinguish; while the number of categories in the horizontal direction is larger and the distance between classes is smaller, the actions are easy to appear at the category boundaries confusing. In the horizontal direction, for the action categories that are easy to make accurate judgments and easy to correct by eye, such as “front,” “left,” and “right,” people are less likely to be confused when doing such actions. The probability of confusion is low, the movement data are mostly clear, and the recognition accuracy is higher in the horizontal direction; while the clarity of the movements in the categories of “left front” and “right front” is slightly lower, and the probability of deviation is higher than that of “front” and “left,” “left” and “right,” and the recognition accuracy decreases; for “back,” “left-back for the back,” “left-back,” and “right back” directions, the eyes have little correction effect, which makes the probability of deviations in the movements increase and makes them more likely to be ambiguous and unclear, so the recognition accuracy rate is lower in the horizontal direction. In the vertical direction, the movements are easier to distinguish, and the error tolerance rate is relatively high, so the overall recognition effect is better than that in the horizontal direction.Figure 7
Confusion matrix of 8 horizontal and 3 vertical levels in support action recognition.The frame rate of the raw motion capture data used in the lower extremity support motion recognition was 150 frames per second (fps). The higher frame rate was chosen for the raw data at the time of recording to ensure accuracy and thus to be able to distinguish small differences in motion. However, the high frame rate data may have some redundancy. Therefore, we downsample the raw data in dataset B to reduce data redundancy and speed up the model training process. To investigate the effect of different sampling parameters on recognition results, we conduct comparison experiments for different frame rates of 5, 10, 50, and 150 fps, which are obtained by uniform downsampling. The different downsampling parameters correspond to the recognition accuracy and training time (averaged over the results of the two legs). A lower frame rate can significantly reduce the training time but has a smaller impact on the recognition accuracy. When the frame rate of the data is reduced from 150 fps to 5 fps, the training time is reduced by about 30%, while the recognition accuracy decreases only by less than 0.2%. Therefore, in practice, a compromise between frame rate and computation time can be chosen.


## 6. Conclusion

Considering that human upper and lower limb movements are cooperative, and there are differences in the Laban analysis due to the different relationship between the upper and lower limb movements and the center of gravity of the human body, this paper divides the limb movements into different behavioral segments according to the collaboration. The upper and lower limb movements of each segment are divided and processed. The integration of rotationally symmetric triangular displacement sensor and vision measurement system is studied. The principle and design of the sensor are given, and the fusion of multiple sensors in the physical layer is realized. The system error and compensation technology introduced by the RST sensor during installation and adjustment are studied, and the geometrical optical measurement model of the sensor is proposed. Aiming at the loss of the ring when the rotational symmetry decreases, an error compensation method based on neural network is proposed, and the uncertainty of the displacement measurement of the experimental prototype of the sensor is given. In this paper, we choose to use Delaunay triangulation to form a triangular mesh model, which effectively reduces the running time of model postprocessing. In behavior segment segmentation, a subspace clustering algorithm based on elastic net rule constraints is adopted, and the association between adjacent frames of temporal data is used to segment limb behavior segments. In this paper, the recognition of folk dance movements based on rotationally symmetric triangulation vision sensor camera has achieved good results. However, due to the lack of depth information and some invisible information in the specular 2D imaging, the specular imaging of 3D objects with different geometric properties may be the same, or an object is projected into different 2D images from different angles, making 3D reconstruction more difficult. Based on this, we plan to continue to explore in the field of mirror imaging technology in the future to further improve the research work of ethnic dance movement recognition.



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*Source: 9032400-2022-09-25.xml*