CN1771886A - Human body balance function detection method and training system - Google Patents
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Abstract
Description
一、技术领域1. Technical field
本发明涉及一种人体平衡功能定量检测方法和人体平衡功能康复训练的系统。The invention relates to a quantitative detection method of human body balance function and a system for rehabilitation training of human body balance function.
二、背景技术2. Background technology
平衡功能检查是指检查在维持身体平衡方面起作用的视觉系统、迷走神经系统、本体感觉系统等平衡反射系统的功能,以及检查控制上述系统的小脑、脑干功能。人体平衡功能定量检测包括重心动摇检查,这是人体平衡检查的主要方法之一,将直立(直坐)姿势时所表现的身体重心动摇进行描记,并将描记结果进行测量、分析。依据动摇的记录,不仅可以综合把握平衡障碍,评价平衡障碍的程度、疾病经过、治疗效果,还可以进一步捕捉维持身体平衡功能的平衡反射系统以及中枢神经系统的障碍,把握眩晕、平衡障碍病例的病态,进行病灶诊断。Balance function examination refers to the examination of the functions of balance reflex systems such as the visual system, vagus nervous system, and proprioceptive system that play a role in maintaining body balance, as well as the examination of the cerebellum and brainstem functions that control the above systems. Quantitative detection of human balance function includes the center of gravity shake test, which is one of the main methods of human balance check. The shake of the body center of gravity in the upright (sitting) posture is traced, and the traced results are measured and analyzed. Based on the shaking records, not only can comprehensively grasp the balance disorder, evaluate the degree of balance disorder, disease course, and treatment effect, but also further capture the balance reflex system and central nervous system obstacles to maintain the body's balance function, and grasp the symptoms of vertigo and balance disorder cases. Sick, carry out lesion diagnosis.
三、发明内容3. Contents of the invention
本发明的目的是要实现对人体平衡功能定量检测,尤其是对人体的直立、直坐的平衡功能以及对手指振颤的功能的定量检测,并提供康复功能系统,其中可独立使用的检测部分可用于患者自身的康复功能训练。The purpose of the present invention is to realize the quantitative detection of the balance function of the human body, especially the quantitative detection of the balance function of the upright and sitting upright of the human body and the function of finger trembling, and provide a rehabilitation function system, wherein the detection part that can be used independently It can be used for the patient's own rehabilitation function training.
本发明是这样实现的:人体平衡功能定量检测的方法,通过直立、直坐和手指压力检测板完成人体直立的双足压力、坐压力或手压力信息转换成电压信号的能量转换部件,压力检测板的下面有四个(或八个)压力传感器,对称分布于平板的四个角(或八个方位),当压力作用于平板时,四个角(或八个方位)的传感器即给出与压力相关的一定大小的电信号,将这些信号通过换算即可求得作用于平板(检测板)上瞬时压力的中心位置,把这些随时变化的中心位置坐标逐点记录或通过显示板显示出来,即可对平衡功能进行各种分析或通过显示板的显示进行训练。检测板受力的坐标原点为检测板中心,A(x1,y1)、B(x2,y2)。The present invention is realized in the following way: the method for quantitative detection of human body balance function, through the upright, sitting upright and finger pressure detection board, completes the energy conversion component that converts the biped pressure, sitting pressure or hand pressure information of the human body into a voltage signal, and the pressure detection There are four (or eight) pressure sensors on the bottom of the plate, symmetrically distributed in the four corners (or eight directions) of the plate, when the pressure acts on the plate, the sensors at the four corners (or eight directions) will give Electrical signals of a certain size related to pressure, these signals can be converted to obtain the center position of the instantaneous pressure acting on the flat panel (detection board), and these center position coordinates that change at any time are recorded point by point or displayed on the display panel , you can perform various analyzes on the balance function or conduct training through the display on the display board. The coordinate origin of the test board force is the center of the test board, A(x 1 , y 1 ), B(x 2 , y 2 ).
人体平衡功能康复训练系统包括:人体平衡压力信号检测装置、重心位置的实时显示、平衡功能显示面板和电路,人体平衡压力信号检测装置构成如下:包括座立、直立或指压的压力检测板,检测板的下面有四个(或八个)压力传感器,对称分布于平板的四个角(或八个方位),当压力作用于平板时,四个角(或八个方位)的传感器即给出与压力相关的一定大小的电信号,压力传感器的输出连接多路模拟开关电路、多路模拟开关电路连接A/D转换电路并接微处理器的输入端口,由微处理器及连接的存储器作为数据处理电路和数据存储电路,微处理器的输出端口通过I/O输出电路连接发光二极管的驱动电路,平衡功能显示面板和电路由发光二极管的驱动电路,平衡功能显示面板由发光二极管阵列和数码管构成。发光二极管的驱动电路连接发光二极管。The human body balance function rehabilitation training system includes: human body balance pressure signal detection device, real-time display of center of gravity position, balance function display panel and circuit. There are four (or eight) pressure sensors under the detection board, which are symmetrically distributed on the four corners (or eight directions) of the plate. When the pressure acts on the plate, the sensors at the four corners (or eight directions) will give An electrical signal of a certain size related to pressure is output. The output of the pressure sensor is connected to a multi-channel analog switch circuit, and the multi-channel analog switch circuit is connected to the A/D conversion circuit and connected to the input port of the microprocessor. The microprocessor and the connected memory As a data processing circuit and a data storage circuit, the output port of the microprocessor is connected to the drive circuit of the light-emitting diode through the I/O output circuit, the balance function display panel and the circuit are composed of the drive circuit of the light-emitting diode, and the balance function display panel is composed of the light-emitting diode array and Nixie tube composition. The driving circuit of the light emitting diode is connected with the light emitting diode.
人体平衡功能定量显示面板(显示屏)由发光二极管阵列和数码管构成,数码管用来显示总重量。而发光二极管阵列用来显示重心偏移情况。由许多个二极管构成阵列,患者根据点亮的二极管位置的变化判断自身重心的偏移。The quantitative display panel (display screen) of the human body balance function is composed of a light-emitting diode array and a digital tube, and the digital tube is used to display the total weight. The LED array is used to display the center of gravity deviation. An array is composed of many diodes, and the patient judges the shift of his own center of gravity according to the change of the position of the lighted diodes.
检测系统的目的一是显示压力中心(重心)的坐标,这部分由条状发光二级管来完成;二是显示实际压力的大小(直立检测时即体重),这部分的显示可由四位数码管来完成。根据视觉反馈原理,患者可以根据数码管的亮度条指示来调整自身的重心位置,从而实现康复功能的训练。The purpose of the detection system is to display the coordinates of the center of pressure (center of gravity), which is completed by strip-shaped light-emitting diodes; tube to complete. According to the principle of visual feedback, patients can adjust their center of gravity according to the brightness bar indication of the digital tube, so as to realize the training of rehabilitation function.
双脚时,控制面板部分,每只脚都有对应的发光二极管阵列,可以分别观察每只脚的情况。而分析部分,可以选择观察方式,即:单脚,还是双脚总重心。For both feet, on the control panel, each foot has a corresponding LED array, and the condition of each foot can be observed separately. In the analysis part, you can choose the observation method, namely: one foot, or the total center of gravity of both feet.
分析软件、分析结果的打印。整个系统大体上分为检测、参数分析两个部分。Analysis software, printing of analysis results. The whole system is roughly divided into two parts: detection and parameter analysis.
可独立使用的检测部分 主要由显示屏、压力检测板构成。座立、直立或指压的压力检测板使用时的压力信号输出连接多路模拟开关电路、微处理器的输入端口,由微处理器作为数据处理和数据存储,检测部分自成体系,具有完整的数据检测和简单处理显示功能,能够完成检测与初步分析,可以脱离计算机独立使用。这样的结构可大大降低检测部分的成本,而有望进入家庭。患者可以根据检测部分显示屏显示重心的实时变化情况,利用生物反馈原理进行经常性的康复训练。检测部分的数据存储功能允许患者在家中把通过检测部分获得的平衡功能的量化信息存入数据盒,数据盒数据可以通过多种方式(直接送交数据盒、通过局域网或电信网传送数据盒中的数据)反馈给医院,再由整个系统中的参数分析部分做出详细分析,从而实现远程医疗的功能,大大方便对患者的治疗与分析。 The detection part that can be used independently is mainly composed of a display screen and a pressure detection board. The pressure signal output of the seated, upright or finger pressure detection board is connected to the multi-channel analog switch circuit and the input port of the microprocessor, and the microprocessor is used for data processing and data storage. The detection part is self-contained and has a complete It has unique data detection and simple processing and display functions, can complete detection and preliminary analysis, and can be used independently without a computer. Such a structure can greatly reduce the cost of the detection part, and is expected to enter the family. Patients can use the principle of biofeedback to carry out regular rehabilitation training according to the real-time change of the center of gravity displayed on the display screen of the detection part. The data storage function of the detection part allows the patient to store the quantitative information of the balance function obtained through the detection part in the data box at home. The data) is fed back to the hospital, and then the parameter analysis part of the whole system makes a detailed analysis, so as to realize the function of telemedicine, which greatly facilitates the treatment and analysis of patients.
参数分析部分 由计算机软件实现。参数分析部分主要对检测部分采集的反映平衡功能的原始数据进行分析,给出具有评测和诊断意义的生理医学指标,这些指标不仅可以直接反映人体平衡功能,还可以作为诊断其它病变,如神经系统病变的重要参考。分析软件可以运行在Windows平台,有良好的人机界面。为方便医生使用和管理,本系统有数据库管理的功能和诊断结果打印功能。 The parameter analysis part is realized by computer software. The parameter analysis part mainly analyzes the original data reflecting the balance function collected by the detection part, and gives physiological and medical indicators with evaluation and diagnosis significance. An important reference for lesions. The analysis software can run on the Windows platform and has a good man-machine interface. In order to facilitate the use and management of doctors, this system has the function of database management and the function of printing diagnosis results.
在坐位压力板,手指压力检测压力随时间的变化检测手指振颤,单脚直立重心动摇和平衡功能检测与分析。通过分析重心或压力振颤的实时变化情况,可利用生物反馈原理进行经常性的康复训练。检测部分的数据存储功能允许患者在家中把通过检测部分获得的平衡功能的量化信息存入数据盒,方便对患者的治疗与分析;将坐位、手指振颤、单脚直立方式的平衡功能检测置入家居场所。On the seat pressure plate, the finger pressure detects the change of pressure over time to detect finger tremors, the center of gravity shake of one foot upright and the balance function detection and analysis. By analyzing the real-time changes in the center of gravity or pressure vibration, the principle of biofeedback can be used for regular rehabilitation training. The data storage function of the detection part allows the patient to store the quantitative information of the balance function obtained through the detection part in the data box at home, which is convenient for the treatment and analysis of the patient; Enter the home.
本发明的特点是:The features of the present invention are:
1)增加了坐位、手指振颤、单脚直立方式的平衡功能检测与分析。并且双脚直立方式检测时,可以观察每只脚的重心动摇情况和人体总重心动摇情况。1) Increased the balance function detection and analysis of sitting, finger trembling, and standing on one foot. And when the two feet are upright, you can observe the fluctuation of the center of gravity of each foot and the fluctuation of the total center of gravity of the human body.
2)具有直观的控制面板实时显示重心偏移的情况,便于病人利用视觉反馈进行平衡功能的康复训练。2) It has an intuitive control panel to display the center of gravity deviation in real time, which is convenient for patients to use visual feedback for rehabilitation training of balance function.
3)分析参数中增加了ST(摆动的均方根)、DA(重心左右、前后、内外偏移的百分比)以及重心分布的时间和区域。3) ST (root mean square of swing), DA (percentage of left-right, front-back, inner-outside deviation of the center of gravity) and the time and area of the center of gravity distribution have been added to the analysis parameters.
四、附图说明4. Description of drawings
图1是本发明人体平衡功能检测训练系统框图Fig. 1 is a block diagram of the human body balance function detection training system of the present invention
图2是本发明检测部分框图Fig. 2 is a block diagram of the detection part of the present invention
图3是本发明显示面板框图Fig. 3 is a block diagram of the display panel of the present invention
图4是本发明分析功能框图Fig. 4 is the analysis function block diagram of the present invention
图5是本发明检测的波形图Fig. 5 is the waveform chart that the present invention detects
图6是本发明重心轨迹图分析结果Fig. 6 is the center of gravity locus diagram analysis result of the present invention
图7是本发明功率谱分析结果Fig. 7 is the power spectrum analysis result of the present invention
图8是本发明显示屏结构示意图Fig. 8 is a structural schematic diagram of the display screen of the present invention
图9是本发明检测板受力情况分析图Fig. 9 is an analysis diagram of the stress situation of the detection board of the present invention
五、具体实施方式5. Specific implementation
参见附图:整个系统大体上分为检测、参数分析两个部分。总体结构框图如图1所示。检测系统的电路结构主要由多路模拟开关、A/D转换电路、数据处理电路和数据存储电路组成,如图2所示。压力传感器的型号有多种,采用压电陶瓷传感器:多路模拟开关电路4051,A/D转换电路的型号典型的是:微处理器的型号可采用89C51型,微处理器的输出端口通过I/O输出电路8255连接发光二极管的驱动电路。See the attached picture: the whole system is generally divided into two parts: detection and parameter analysis. The overall structural block diagram is shown in Figure 1. The circuit structure of the detection system is mainly composed of multi-channel analog switches, A/D conversion circuits, data processing circuits and data storage circuits, as shown in Figure 2. There are many types of pressure sensors, using piezoelectric ceramic sensors: multi-channel analog switch circuit 4051, the typical type of A/D conversion circuit is: the model of the microprocessor can be 89C51, the output port of the microprocessor is through I The /O output circuit 8255 is connected to the driving circuit of the light emitting diode.
检测部分的显示面板部分主要由发光二极管阵列和数码管构成。显示面板电路数码管用来显示总重量。而发光二极管阵列用来显示重心偏移情况。由许多个二极管构成阵列,患者根据点亮的二极管位置的变化判断自身重心的偏移。The display panel part of the detection part is mainly composed of light-emitting diode arrays and digital tubes. The display panel circuit digital tube is used to display the total weight. The LED array is used to display the center of gravity deviation. An array is composed of many diodes, and the patient judges the shift of his own center of gravity according to the change of the position of the lighted diodes.
双脚时,控制面板部分,每只脚都有对应的发光二极管阵列(有四条阵列?),可以分别观察每只脚的情况。而分析部分,可以选择观察方式,即:单脚,还是双脚总重心。For both feet, each foot has a corresponding LED array (four arrays?) on the control panel, allowing you to observe the condition of each foot separately. In the analysis part, you can choose the observation method, namely: one foot, or the total center of gravity of both feet.
其目的一是显示压力中心(重心)的坐标,这部分由条状发光二级管来完成;二是显示实际压力的大小(直立检测时即体重),这部分的显示可由四位数码管来完成。根据视觉反馈原理,患者可以根据数码管的亮度条指示来调整自身的重心位置,从而实现康复功能的训练。显示面板的结构如图3所示。根据检测部分获取的重心动摇数据,可以进行分析,分析功能框图如图4所示。由检测部分获取的一定时间反映重心连续变化的数据,可以绘制出重心轨迹图。基于该图可以定性的判断动摇类型,具体分为求心型、前后型、左右型、弥漫型、多中心型等。其中有些动摇类型是神经系统特定部位损害的特征性动摇。软件分析框图中,将图4分析功能框图还包括ST、DA部分的说明。对应直立、手指、坐位三种方式,分析参数相同。Its purpose is to display the coordinates of the pressure center (center of gravity), which is completed by strip-shaped light-emitting diodes; the second is to display the actual pressure (body weight when standing upright), and this part can be displayed by a four-digit digital tube. Finish. According to the principle of visual feedback, patients can adjust their center of gravity according to the brightness bar indication of the digital tube, so as to realize the training of rehabilitation function. The structure of the display panel is shown in FIG. 3 . According to the shaking data of the center of gravity obtained by the detection part, it can be analyzed, and the analysis function block diagram is shown in Figure 4. The center-of-gravity trajectory map can be drawn by the data obtained by the detection part reflecting the continuous change of the center of gravity within a certain period of time. Based on this diagram, the type of shaking can be qualitatively judged, specifically divided into heart-seeking type, front-back type, left-right type, diffuse type, polycentric type, etc. Some of these shaking types are shaking characteristic of damage to specific parts of the nervous system. In the software analysis block diagram, the analysis function block diagram in Figure 4 also includes the description of the ST and DA parts. Corresponding to the three modes of standing, fingering and sitting, the analysis parameters are the same.
依据重心轨迹图进行计算可以得出外周面积、矩形面积等参数。从动摇面积能够综合把握平衡障碍的程度。轨迹长分析总轨迹长和单位面积轨迹长,其中单位面积轨迹长可以用来衡量本体感觉姿势控制。分析提示人体平衡功能随年龄逐步完善,20~50岁间最稳定,随后逐渐减退,至70岁以后降低明显。According to the calculation of the center of gravity locus diagram, parameters such as the peripheral area and the rectangular area can be obtained. From the shaking area, the degree of balance disturbance can be comprehensively grasped. The trajectory length analyzes the total trajectory length and the trajectory length per unit area, where the trajectory length per unit area can be used to measure proprioceptive postural control. Analysis shows that the balance function of the human body gradually improves with age, and is most stable between the ages of 20 and 50, and then gradually declines, and the decline is obvious after the age of 70.
把重心动摇数据看作随机信号,并对它进行功率谱估计。频率范围一般选取0.02Hz~10Hz。国际基准建议分析各个频段(0.02Hz~0.2HZ、0.2Hz~2HZ、2HZ~10HZ)在功率谱中所占的比例。功率谱能够反映某些疾病以及具体损害的部位,如单侧迷走神经障碍的患者在左右动摇方向0.08Hz~0.2Hz成分较大;双侧迷走神经功能障碍在前后动摇方向0.2Hz~0.6Hz的成分较大;小脑损害的患者左右动摇方向0.1Hz~02Hz的成分较大。The center of gravity shaking data is regarded as a random signal, and its power spectrum is estimated. The frequency range is generally selected from 0.02Hz to 10Hz. International benchmarks suggest analyzing the proportion of each frequency band (0.02Hz~0.2HZ, 0.2Hz~2HZ, 2HZ~10HZ) in the power spectrum. The power spectrum can reflect certain diseases and specific damage sites. For example, patients with unilateral vagus nerve dysfunction have a larger component in the direction of left and right shaking at 0.08 Hz to 0.2 Hz; Large; patients with cerebellar damage have a larger component in the direction of left and right shaking from 0.1Hz to 02Hz.
以下是分析系统工作流程:The following is the analysis system workflow:
(1)病人基本信息管理(1) Patient basic information management
用户可以通过病人基本信息管理工具来访问病人数据库,包括病人记录的增加、修改、删除、查询等基本数据库的操作。Users can access the patient database through the patient basic information management tool, including basic database operations such as adding, modifying, deleting, and querying patient records.
(2)数据采集(2) Data collection
用户可以选择数据采集的模式(包括“直立”、“直坐”、“手指”等)、波形显示的扫描速度以及采集时间。数据采集与波形显示同步进行,采集结束可以自动存储。Users can choose the mode of data acquisition (including "upright", "sitting", "finger", etc.), the scanning speed of waveform display and the acquisition time. Data collection and waveform display are carried out synchronously, and can be stored automatically after collection.
(3)数据回放(3) Data playback
因为数据的存储是无损的,所以可以不失真地回放以前采集的数据。操作上具有缩放显示、时间测量等功能。(图5)Because data is stored losslessly, previously acquired data can be played back without distortion. In operation, it has zoom display, time measurement and other functions. (Figure 5)
(4)分析结果(4) Analysis results
给出重心轨迹图以及各项参数(图6)。The trajectory diagram of the center of gravity and various parameters are given (Fig. 6).
对每个方向波形做功率谱分析(图7)。Do power spectrum analysis for each direction waveform (Figure 7).
图8是系统形成的产品结构图。系统形成的产品由检查显示单元、直立式检查装置、直坐式检查装置、手压式检查装置、PC主机、液晶显示器、彩色喷墨打印机等组成。Figure 8 is a product structure diagram formed by the system. The products formed by the system are composed of inspection display unit, upright inspection device, sitting inspection device, hand pressure inspection device, PC host, liquid crystal display, color inkjet printer, etc.
压力中心计算Center of Pressure Calculation
检测板是完成将人体直立的双足压力、坐压力或手压力信息转换成电压信号的能量转换部件,其基本原理是:压力检测板的下面有四个压力传感器,对称分布于平板的四个角,当压力作用于平板时,四个角的传感器即给出一定大小的电信号,将这些信号通过换算即可求得作用于平板(检测板)上瞬时压力的中心位置,把这些随时变化的中心位置坐标逐点记录或通过显示板显示出来,即可对平衡功能进行各种分析或通过显练。The detection board is an energy conversion component that converts the human body's upright biped pressure, sitting pressure or hand pressure information into a voltage signal. The basic principle is: there are four pressure sensors under the pressure detection board, which are symmetrically distributed on the four Corner, when the pressure acts on the flat plate, the sensors at the four corners will give a certain size of electrical signal, these signals can be converted to obtain the center position of the instantaneous pressure acting on the flat plate (detection plate), and these changes at any time The coordinates of the center position of the machine can be recorded point by point or displayed on the display board, so that various analysis or training can be performed on the balance function.
检测板受力如图1所示,坐标原点设为检测板中心,A(x1,y1)、B(x2,y2)、C(x3,y3)、D(x4,y4)分别为四个传感器的位置。根据力学原理,维持检测板平衡条件为:The force on the test board is shown in Figure 1, and the origin of coordinates is set as the center of the test board, A(x 1 , y 1 ), B(x 2 , y 2 ), C(x 3 , y 3 ), D(x 4 , y 4 ) are the positions of the four sensors respectively. According to the principle of mechanics, the condition for maintaining the balance of the test board is:
F=f1+f2+f3+f4 (1)F=f 1 +f 2 +f 3 +f 4 (1)
FX=f1x1+f2x2+f3x3+f4x4 (2)FX=f 1 x 1 +f 2 x 2 +f 3 x 3 +f 4 x 4 (2)
FY=f1y1+f2y2+f3y3+f4y4 (3)FY=f 1 y 1 +f 2 y 2 +f 3 y 3 +f 4 y 4 (3)
图中E(X,Y)为外部压力相对于检测板的坐标,即等效压力中心位置。E(X, Y) in the figure is the coordinate of the external pressure relative to the detection plate, that is, the position of the center of the equivalent pressure.
如图9检测板受力情况As shown in Figure 9, the force of the detection board
由于传感器对称分布,即x2=-x1、x2=-x1、x4=x1、y2=y1、y3=-y1、y4=-y1,将其代入(2)、(3)式得:Since the sensors are symmetrically distributed, that is, x 2 =-x 1 , x 2 =-x 1 , x 4 =x 1 , y 2 =y 1 , y 3 =-y 1 , y 4 =-y 1 , it is substituted into ( 2), (3) formula get:
其中f1、f2、f3、f4分别是随时间变化的,所以,X、Y值也是一组随时间变化的函数,即X=X(t)、Y=Y(t),将各个时刻的E(X,Y)值的电信号记录下来,即可获得外部压力的中心位置在检测板上移动的信息。再将其逐点描出,即可获得压力中心移动曲线或轨迹图。Among them, f 1 , f 2 , f 3 , and f 4 change with time respectively, so the values of X and Y are also a set of functions that change with time, that is, X=X(t), Y=Y(t), and The electrical signal of the E(X, Y) value at each moment is recorded, and the information on the movement of the center position of the external pressure on the detection plate can be obtained. Then draw it point by point to obtain the pressure center moving curve or locus map.
为了消去其实际尺寸对所研究问题的影响,对上面(4)、(5)式分别进行归一化,则归一化后E点(外部压力中心位置)的坐标为:In order to eliminate the influence of its actual size on the research problem, the above formulas (4) and (5) are normalized respectively, then the coordinates of point E (the center of external pressure) after normalization are:
(6)式和(7)式即是外部坐压力中心相对检测板位置的坐标表达式。(6) and (7) are the coordinate expressions of the center of the external sitting pressure relative to the position of the detection plate.
图8所示:显示压力中心(重心)的坐标,这部分由条状发光二级管来完成。屏显示结构中双脚时每只脚都有对应的发光二极管阵列,分别观察每只脚的情况。是屏显示结构为十字形发光二极管阵列。每只脚均有为十字形发光二极管阵列,中心位置对应着脚的中心,并设有双脚合一的十字发光二极管阵列。As shown in Figure 8: display the coordinates of the center of pressure (center of gravity), this part is completed by the strip light-emitting diode. When the two feet in the screen display structure, each foot has a corresponding light-emitting diode array, and the situation of each foot is observed separately. The display structure of the screen is a cross-shaped light-emitting diode array. Each foot has a cross-shaped light-emitting diode array, the center position corresponds to the center of the foot, and a cross-shaped light-emitting diode array with both feet integrated.
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