CN117030083B - A shock wave therapy instrument impact strength testing system - Google Patents
A shock wave therapy instrument impact strength testing system Download PDFInfo
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Abstract
Description
技术领域Technical field
本发明涉及冲击波力学参数测量领域,特别是涉及一种冲击波治疗仪冲击强度测试系统。The invention relates to the field of shock wave mechanical parameter measurement, and in particular to a shock wave therapy instrument impact strength testing system.
背景技术Background technique
医用冲击波通过力学冲击作用,可在组织内引发多种生物学效应,被广泛应用于肌肉骨骼疾病临床治疗中。冲击波治疗的关键是将适宜的能量作用于准确的部位,采用的能量和选择的部位直接决定治疗效果,能量过低达不到治疗效果,而能量过高则产生不良反应。因此精确描述冲击波应力场在不同组织内的传播规律,定量获取治疗靶点部位组织受到的力学载荷作用方式和能量大小,并且评价传递路径上的能量密度水平和损伤风险具有重要意义。Medical shock waves can induce a variety of biological effects in tissues through mechanical impact, and are widely used in the clinical treatment of musculoskeletal diseases. The key to shock wave therapy is to apply appropriate energy to the exact site. The energy used and the site selected directly determine the therapeutic effect. If the energy is too low, the therapeutic effect will not be achieved, while if the energy is too high, adverse reactions will occur. Therefore, it is of great significance to accurately describe the propagation rules of the shock wave stress field in different tissues, quantitatively obtain the mechanical load mode and energy magnitude of the tissue at the treatment target site, and evaluate the energy density level and damage risk along the transmission path.
现有针对冲击波的力学参数测量,大都采用测力传感器获取冲击波穿透模拟负载后的剩余压力,计算冲击波的剩余冲击强度,或进而根据此剩余压力及冲击波治疗头与负载物的接触面积,测算能量密度的方法。此种方法属于接触式测量,由于传感器的存在,不可避免会对负载的力学特性造成干扰,无法获取实际的力学参数。此外,冲击波在软组织中的传播特性与声波类似,处在波峰或波谷位置的测量结果差异巨大,因此有限数量的传感器无法重建冲击波在软组织内部的完整力场分布和传播规律,进而无法准确评估组织内部加载的能量水平。Existing measurements of mechanical parameters of shock waves mostly use load cells to obtain the residual pressure after the shock wave penetrates the simulated load, and calculate the residual impact strength of the shock wave, or further calculate based on the residual pressure and the contact area between the shock wave treatment head and the load. energy density method. This method is a contact measurement. Due to the existence of the sensor, it will inevitably cause interference to the mechanical characteristics of the load and cannot obtain actual mechanical parameters. In addition, the propagation characteristics of shock waves in soft tissues are similar to sound waves, and the measurement results at the peak or trough positions vary greatly. Therefore, a limited number of sensors cannot reconstruct the complete force field distribution and propagation rules of shock waves within soft tissues, and thus cannot accurately evaluate the tissue. Internally loaded energy level.
发明内容Contents of the invention
本发明的目的是提供一种冲击波治疗仪冲击强度测试系统,以解决上述问题。The purpose of the present invention is to provide an impact strength testing system for a shock wave therapy device to solve the above problems.
为实现上述目的,本发明提供了如下方案。In order to achieve the above objects, the present invention provides the following solutions.
一种冲击波治疗仪冲击强度测试系统,包括:软组织弹性成像体模、均匀分布在所述软组织弹性成像体模内部的散射子、设置在所述软组织弹性成像体模表面上的超声探头、与所述超声探头连接的超声成像模块、与所述超声成像模块连接的超声图像处理模块以及与所述超声图像处理模块连接的冲击波力学参数计算模块。A shock wave therapy instrument impact strength testing system, including: a soft tissue elastic imaging phantom, scatterers evenly distributed inside the soft tissue elastic imaging phantom, an ultrasonic probe arranged on the surface of the soft tissue elastic imaging phantom, and the The ultrasonic imaging module connected to the ultrasonic probe, the ultrasonic image processing module connected to the ultrasonic imaging module, and the shock wave mechanical parameter calculation module connected to the ultrasonic image processing module.
其中,所述超声探头设置在所述软组织弹性成像体模表面上的方向与目标冲击波的入射方向垂直设置;所述目标冲击波为冲击波治疗仪发射的冲击波。Wherein, the direction in which the ultrasonic probe is arranged on the surface of the soft tissue elastic imaging phantom is perpendicular to the incident direction of the target shock wave; the target shock wave is a shock wave emitted by a shock wave therapy instrument.
所述超声探头用于产生超声激励并作用于所述软组织弹性成像体模以及获取在冲击波治疗仪冲击过程中的超声回波信号。The ultrasonic probe is used to generate ultrasonic excitation and act on the soft tissue elastic imaging phantom and obtain ultrasonic echo signals during the impact process of the shock wave therapy device.
所述超声成像模块用于接收所述超声探头获取的超声回波信号,并根据所述超声回波信号的强度值生成连续的超声图像序列。The ultrasonic imaging module is configured to receive the ultrasonic echo signal acquired by the ultrasonic probe and generate a continuous ultrasonic image sequence according to the intensity value of the ultrasonic echo signal.
所述超声图像处理模块用于对所述超声图像序列进行预处理,得到切面声像图序列,并在所述切面声像图序列中,对相邻两幅切面声像图进行互相关运算,得到图像互相关系数随时间变化的曲线。The ultrasound image processing module is used to preprocess the ultrasound image sequence to obtain a sequence of slice sonograms, and perform a cross-correlation operation on two adjacent slice sonograms in the sequence of slice sonograms, Obtain the curve of the image cross-correlation coefficient changing with time.
所述冲击波力学参数计算模块用于根据图像互相关系数随时间变化的曲线以及软组织弹性成像体模的参数,计算确定软组织弹性成像体模内部不同位置处的冲击波力学参数。The shock wave mechanical parameter calculation module is used to calculate and determine the shock wave mechanical parameters at different positions inside the soft tissue elastography phantom based on the time-varying curve of the image cross-correlation coefficient and the parameters of the soft tissue elastography phantom.
通过均匀分布于软组织弹性成像体模内部的反射子,对软组织弹性成像体模内部冲击波的力场分布实现全面检测,实现了冲击波在软组织弹性成像体模内部传播过程的定量描述,能够进行更准确的力学效应评估。Through the reflectors evenly distributed inside the soft tissue elastography phantom, the force field distribution of the shock wave inside the soft tissue elastography phantom can be comprehensively detected, and the shock wave propagation process within the soft tissue elastography phantom can be quantitatively described, which can be more accurate. Evaluation of mechanical effects.
附图说明Description of the drawings
为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动性的前提下,还可以根据这些附图获得其他的附图。In order to explain the embodiments of the present invention or the technical solutions in the prior art more clearly, the drawings needed to be used in the embodiments will be briefly introduced below. Obviously, the drawings in the following description are only some of the drawings of the present invention. Embodiments, for those of ordinary skill in the art, other drawings can also be obtained based on these drawings without exerting creative efforts.
图1为本发明实施例提供的一种冲击波治疗仪冲击强度测试系统的部分结构示意图。Figure 1 is a partial structural schematic diagram of an impact strength testing system for a shock wave therapy device provided by an embodiment of the present invention.
图2为本发明实施例提供的一种冲击波治疗仪冲击强度测试系统的结构框图。Figure 2 is a structural block diagram of an impact strength testing system for a shock wave therapy device provided by an embodiment of the present invention.
图3为本发明实施例提供的传播时间计算原理图。Figure 3 is a schematic diagram of propagation time calculation provided by an embodiment of the present invention.
图4为本发明实施例提供的冲击波力学参数计算原理图。Figure 4 is a schematic diagram of the calculation principle of shock wave mechanical parameters provided by the embodiment of the present invention.
图5为本发明实施例提供的一种冲击波治疗仪冲击强度测试系统的工作流程图。Figure 5 is a work flow chart of an impact strength testing system for a shock wave therapy device provided by an embodiment of the present invention.
具体实施方式Detailed ways
下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some of the embodiments of the present invention, rather than all the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts fall within the scope of protection of the present invention.
为使本发明的上述目的、特征和优点能够更加明显易懂,下面结合附图和具体实施方式对本发明作进一步详细的说明。In order to make the above objects, features and advantages of the present invention more obvious and understandable, the present invention will be described in further detail below with reference to the accompanying drawings and specific embodiments.
如图1和图2所示,本实施例提供的一种冲击波治疗仪冲击强度测试系统包括:软组织弹性成像体模2、均匀分布在所述软组织弹性成像体模2内部的散射子、设置在所述软组织弹性成像体模2表面上的超声探头3、与所述超声探头3连接的超声成像模块、与所述超声成像模块连接的超声图像处理模块以及与所述超声图像处理模块连接的冲击波力学参数计算模块。As shown in Figures 1 and 2, this embodiment provides a shock wave therapy instrument impact strength testing system including: a soft tissue elastography phantom 2, scatterers evenly distributed inside the soft tissue elastography phantom 2, and a The ultrasonic probe 3 on the surface of the soft tissue elastic imaging phantom 2, the ultrasonic imaging module connected to the ultrasonic probe 3, the ultrasonic image processing module connected to the ultrasonic imaging module, and the shock wave connected to the ultrasonic image processing module Mechanical parameter calculation module.
所述散射子用于将软组织弹性成像体模的形变进行超声可视化。The scatterers are used for ultrasonic visualization of deformations in soft tissue elastography phantoms.
所述超声探头3设置在所述软组织弹性成像体模表面上的方向与目标冲击波的入射方向垂直设置;所述目标冲击波为冲击波治疗仪1发射的冲击波;所述超声探头3用于产生超声激励并作用于所述软组织弹性成像体模以及获取在冲击波治疗仪冲击过程中的超声回波信号。The ultrasonic probe 3 is arranged on the surface of the soft tissue elastic imaging phantom in a direction perpendicular to the incident direction of the target shock wave; the target shock wave is the shock wave emitted by the shock wave therapy device 1; the ultrasonic probe 3 is used to generate ultrasonic excitation And it acts on the soft tissue elastic imaging phantom and acquires the ultrasonic echo signal during the impact of the shock wave therapy device.
所述超声成像模块用于接收所述超声探头获取的超声回波信号,并根据所述超声回波信号的强度值生成连续的超声图像序列(即二维图像序列);其中,在超声图像序列中,成像深度10cm,且保证5cm处横向分辨率大于2mm时,帧率大于30帧。另外,软组织弹性成像体模和散射子在超声图像中区别显示为亮度不同的像素点;此外,所述超声成像模块还用于激励超声探头产生超声激励。The ultrasonic imaging module is configured to receive the ultrasonic echo signal acquired by the ultrasonic probe, and generate a continuous ultrasonic image sequence (ie, a two-dimensional image sequence) according to the intensity value of the ultrasonic echo signal; wherein, in the ultrasonic image sequence Medium, when the imaging depth is 10cm and the lateral resolution at 5cm is greater than 2mm, the frame rate is greater than 30 frames. In addition, the soft tissue elastography phantom and scatterers are displayed as pixels with different brightness in the ultrasound image; in addition, the ultrasound imaging module is also used to excite the ultrasound probe to generate ultrasound excitation.
所述超声图像处理模块用于对所述超声图像序列进行预处理,得到切面声像图序列,并在所述切面声像图序列中,对相邻两幅切面声像图进行互相关运算,得到图像互相关系数随时间变化的曲线。The ultrasound image processing module is used to preprocess the ultrasound image sequence to obtain a sequence of slice sonograms, and perform a cross-correlation operation on two adjacent slice sonograms in the sequence of slice sonograms, Obtain the curve of the image cross-correlation coefficient changing with time.
所述冲击波力学参数计算模块用于根据图像互相关系数随时间变化的曲线以及软组织弹性成像体模的参数,计算确定软组织弹性成像体模内部不同位置处的冲击波力学参数。The shock wave mechanical parameter calculation module is used to calculate and determine the shock wave mechanical parameters at different positions inside the soft tissue elastography phantom based on the time-varying curve of the image cross-correlation coefficient and the parameters of the soft tissue elastography phantom.
在本实施例中,该软组织弹性成像体模2为弹性模量恒定的立方体水凝胶体模,即该软组织弹性成像体模2由水凝胶和纯化水按照一定比例混合制成,具有恒定的弹性模量,其弹性模量近似于肌肉或脂肪组织(弹性模量约 2 kPa),散射子约为100微米粒径的固体颗粒,散射子的声阻抗特性与软组织弹性成像体模2的声阻抗特性存在明显差异。In this embodiment, the soft tissue elastography phantom 2 is a cubic hydrogel phantom with a constant elastic modulus. That is, the soft tissue elastography phantom 2 is made of hydrogel and purified water mixed in a certain proportion, and has a constant elastic modulus. The elastic modulus is similar to that of muscle or fat tissue (elastic modulus is about 2 kPa). The scatterers are solid particles with a particle size of about 100 microns. The acoustic impedance characteristics of the scatterers are similar to those of the soft tissue elastography phantom 2. There are significant differences in acoustic impedance characteristics.
进一步地,软组织弹性成像体模2采用如下步骤制作:(1)取适量水凝胶干粉按照预定比例,溶解于纯化水中,加热煮沸至完全溶解,搅拌均匀成混合溶液;(2)取适量的散射子颗粒,将其加入混合溶液,并搅拌均匀;(3)在仿体完全凝固后,切割成预定尺寸的块体,得到用于超声成像的软组织弹性成像体模。Further, the soft tissue elastography phantom 2 is produced using the following steps: (1) Take an appropriate amount of hydrogel dry powder and dissolve it in purified water according to a predetermined proportion, heat and boil until completely dissolved, and stir evenly to form a mixed solution; (2) Take an appropriate amount of Scatter sub-particles, add them to the mixed solution, and stir evenly; (3) After the phantom is completely solidified, cut it into blocks of predetermined size to obtain a soft tissue elastography phantom for ultrasound imaging.
进一步地,软组织弹性成像体模2的密度的确定过程为:首先在空气中称量一块软组织弹性成像体模的重量W,然后测量该软组织弹性成像体模的长a、宽b、高c,最后按照公式/>计算软组织弹性成像体模的密度。Further, the density of the soft tissue elastography phantom 2 The determination process is: first weigh the weight W of a soft tissue elastography phantom in the air, then measure the length a, width b, and height c of the soft tissue elastography phantom, and finally according to the formula Calculate the density of soft tissue elastography phantoms.
在本实施例中,冲击波治疗仪1的治疗头所发出的冲击波的发射方向与入射表面相垂直,并与超声探头3所发出的超声激励方向相垂直。In this embodiment, the emission direction of the shock wave emitted by the treatment head of the shock wave therapy instrument 1 is perpendicular to the incident surface and perpendicular to the ultrasonic excitation direction emitted by the ultrasonic probe 3 .
在本实施例中,在对所述超声图像序列进行预处理,得到切面声像图序列方面,所述超声图像处理模块用于:获取所述超声图像序列,并对所述超声图像序列中的超声图像进行线性插补和图像增强处理,得到目标冲击波在软组织弹性成像体模内部传播过程的切面声像图序列。In this embodiment, in terms of preprocessing the ultrasonic image sequence to obtain a slice sonogram sequence, the ultrasonic image processing module is used to: obtain the ultrasonic image sequence, and process the ultrasonic image sequence in the ultrasonic image sequence. The ultrasound image is subjected to linear interpolation and image enhancement processing to obtain a sequence of slice sonograms of the target shock wave propagation process within the soft tissue elastography phantom.
其中,线性插补具体为获取连续的形变信号,从每秒30帧的图像插补到每秒100帧,有利于图像互相关系数计算的准确性。图像增强包括线性直方图拉伸、对比度增强,用于提高特征点的亮度信息。Among them, linear interpolation is specifically to obtain continuous deformation signals, interpolating images from 30 frames per second to 100 frames per second, which is beneficial to the accuracy of image cross-correlation coefficient calculation. Image enhancement includes linear histogram stretching and contrast enhancement, which are used to improve the brightness information of feature points.
在本实施例中,在所述切面声像图序列中,利用numpy包中corrcoef函数,环境是python3,对相邻两幅切面声像图进行互相关运算,得到图像互相关系数x随时间变化的曲线x(t);其中,图像互相关系数x表示相邻两幅切面声像图的相似程度,是一个相对的比例值。x值越大,说明在此时刻软组织弹性成像体模受到冲击力作用后压缩程度越大,当软组织弹性成像体模的弹性模量固定时,压缩形变与冲击力成正比,即。式中/>为软组织弹性成像体模的弹性形变量,k为待确定的比例系数,x为图像互相关系数。In this embodiment, in the sequence of slice sonograms, the corrcoef function in the numpy package is used, and the environment is python3. The cross-correlation operation is performed on two adjacent slice sonograms, and the image cross-correlation coefficient x changes with time. The curve x(t) of The larger the value of . Formula in/> is the elastic deformation amount of the soft tissue elastography phantom, k is the proportion coefficient to be determined, and x is the image cross-correlation coefficient.
比例系数k可以通过材料试验机对软组织弹性成像体模进行压缩实验完成标定。具体操作方法为:a.在不受力状态下,对软组织弹性成像体模进行超声弹性成像,得到初始状态的声像图A;b.将软组织弹性成像体模压缩到最大的弹性形变量,通过超声成像模块得到此时的声像图B;c.声像图A和声像图B进行互相关运算,得到相关系数x;并根据公式得到比例系数k。The proportional coefficient k can be calibrated by performing a compression experiment on a soft tissue elastography phantom using a material testing machine. The specific operation method is: a. Under no stress, perform ultrasonic elastography on the soft tissue elastography phantom to obtain the initial state sonogram A; b. Compress the soft tissue elastography phantom to the maximum elastic deformation amount. , obtain the sonogram B at this time through the ultrasound imaging module; c. Perform cross-correlation operations on the sonogram A and the sonogram B to obtain the correlation coefficient x; and according to the formula Get the proportional coefficient k.
在本实施例中,所述冲击波力学参数包括冲击力、传播速度和冲击波能流密度,其计算过程如图4所示。In this embodiment, the shock wave mechanical parameters include impact force, propagation speed and shock wave energy flow density, and the calculation process is shown in Figure 4.
进一步地,在计算冲击力方面,所述冲击波力学参数计算模块用于:根据公式计算冲击力。Further, in terms of calculating impact force, the shock wave mechanical parameter calculation module is used: according to the formula Calculate impact force.
其中,F(t)为随时间变化的冲击力曲线,E为软组织弹性成像体模的弹性模量,利用材料试验机进行压缩实验测得;x(t)为图像互相关系数x随时间变化的曲线,也是用于表征软组织弹性成像体模形变量;L为软组织弹性成像体模的尺寸,在一个实施例中为10cm;S为能量的作用面积。Among them, F(t) is the impact force curve that changes with time, E is the elastic modulus of the soft tissue elastography phantom, measured by a compression experiment using a material testing machine; x(t) is the image cross-correlation coefficient x that changes with time The curve of is also used to characterize the deformation variable of the soft tissue elastography phantom; L is the size of the soft tissue elastography phantom, which is 10 cm in one embodiment; S is the action area of the energy.
进一步地,在计算传播速度方面,所述冲击波力学参数计算模块用于:根据公式计算传播速度。Further, in terms of calculating the propagation speed, the shock wave mechanical parameter calculation module is used: according to the formula Calculate the speed of propagation.
x(t)为图像互相关系数x随时间变化的曲线,也是软组织弹性成像体模形变量随时间的变化曲线,根据x(t)可得出冲击波开始加载到软组织弹性成像体模的时刻t1,软组织弹性成像体模形变到达最大的时刻t2,即为冲击波在软组织弹性成像体模中的传播时间,结合软组织弹性成像体模的长度d即可求得冲击波在软组织弹性成像体模中的传播速度/>,详细如图3所示。x(t) is the curve of the image correlation coefficient x changing with time, and it is also the curve of the soft tissue elastography phantom deformation variable changing with time. According to x(t), we can get the time t1 when the shock wave starts to be loaded onto the soft tissue elastography phantom. , the time t2 when the deformation of the soft tissue elastography phantom reaches the maximum, That is the propagation time of the shock wave in the soft tissue elastography phantom. Combined with the length d of the soft tissue elastography phantom, the propagation speed of the shock wave in the soft tissue elastography phantom can be obtained/> , the details are shown in Figure 3.
在计算冲击波能量密度方面,所述冲击波力学参数计算模块用于:根据公式计算冲击波能量密度。In terms of calculating shock wave energy density, the shock wave mechanical parameter calculation module is used: according to the formula Calculate shock wave energy density.
其中,为冲击波能流密度,P为一次冲击过程中加载的能量,该能量代表冲击波治疗仪产生的冲击波经过生物组织,即软组织弹性成像体模衰减后传递到深层患处的有效治疗能量,是评价冲击波治疗仪的能量穿透性能的指标,S为能量P的作用面积,F(t)为随时间变化的的压力值,即计算得到的冲击力,/>为软组织弹性成像体模的密度,c为介质中波的传播速度,/>即为介质声阻抗。in, is the shock wave energy flux density, and P is the energy loaded during an impact. This energy represents the effective therapeutic energy that the shock wave generated by the shock wave therapy device passes through the biological tissue, that is, the soft tissue elastography phantom is attenuated and then transferred to the deep affected area. It is the best way to evaluate shock wave therapy. An indicator of the energy penetration performance of the instrument, S is the area of action of energy P, F(t) is the pressure value that changes with time, that is, the calculated impact force,/> is the density of the soft tissue elastography phantom, c is the propagation speed of waves in the medium,/> That is the acoustic impedance of the medium.
本实施例还提供了一种冲击波治疗仪冲击强度测试系统的工作流程,如图5所示,具体包括如下步骤。This embodiment also provides a work flow of a shock wave therapy instrument impact strength testing system, as shown in Figure 5, which specifically includes the following steps.
第一,启动冲击波治疗仪。First, start the shock wave therapy device.
第二,用软组织弹性成像体模接收冲击波治疗仪的治疗头发出的冲击波,使冲击波从入射表面进入软组织弹性成像体模的内部并引起软组织弹性成像体模内部形变,该形变使内嵌的超声散射子相对位置发生变化。Second, the soft tissue elastography phantom is used to receive the shock wave emitted by the treatment head of the shock wave therapy device, so that the shock wave enters the interior of the soft tissue elastography phantom from the incident surface and causes internal deformation of the soft tissue elastography phantom. This deformation causes the embedded ultrasound The relative position of the scatterers changes.
第三,用超声探头发出并获取超声反射信号。Third, use an ultrasonic probe to emit and obtain ultrasonic reflection signals.
第四,超声成像模块根据超声反射信号得到超声图像序列。Fourth, the ultrasound imaging module obtains an ultrasound image sequence based on the ultrasound reflection signal.
第五,超声图像处理模块对超声图像进行增强处理,并按照固定的时间间隔∆t对超声图像进行线性插补,并将前后相邻的两幅图像进行互相关运算,得到随时间变化的位移信号x(t)。Fifth, the ultrasound image processing module enhances the ultrasound image, performs linear interpolation on the ultrasound image according to a fixed time interval Δt, and performs cross-correlation operations on the two adjacent images to obtain the displacement over time. Signal x(t).
第六,冲击波强度计算模块根据获取到的位移信号,计算冲击力、冲击波传播速度、冲击波能流密度参数。Sixth, the shock wave intensity calculation module calculates the impact force, shock wave propagation speed, and shock wave energy flow density parameters based on the obtained displacement signal.
本发明可以实现冲击波在软组织弹性成像体模中传播过程的定量描述,用于冲击波治疗仪器性能的精确评估。The invention can achieve quantitative description of the propagation process of shock waves in soft tissue elastic imaging phantoms and be used for accurate evaluation of the performance of shock wave therapy instruments.
本说明书中各个实施例采用递进的方式描述,每个实施例重点说明的都是与其他实施例的不同之处,各个实施例之间相同相似部分互相参见即可。Each embodiment in this specification is described in a progressive manner. Each embodiment focuses on its differences from other embodiments. The same and similar parts between the various embodiments can be referred to each other.
本文中应用了具体个例对本发明的原理及实施方式进行了阐述,以上实施例的说明只是用于帮助理解本发明的方法及其核心思想;同时,对于本领域的一般技术人员,依据本发明的思想,在具体实施方式及应用范围上均会有改变之处。综上所述,本说明书内容不应理解为对本发明的限制。This article uses specific examples to illustrate the principles and implementation methods of the present invention. The description of the above embodiments is only used to help understand the method and the core idea of the present invention; at the same time, for those of ordinary skill in the art, according to the present invention There will be changes in the specific implementation methods and application scope of the ideas. In summary, the contents of this description should not be construed as limitations of the present invention.
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