CN106983487B - Three-dimensional position and three-dimensional attitude positioning system and positioning method of wireless capsule endoscope - Google Patents
Three-dimensional position and three-dimensional attitude positioning system and positioning method of wireless capsule endoscope Download PDFInfo
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Abstract
本发明提供了无线胶囊内窥镜三维位置和三维姿态的定位系统及其定位方法,包括设置于人体外且三轴正交的发射线圈、体外无线接收模块、体外位姿计算模块和位于体内的无线胶囊内窥镜,采用在人体外设置一个三轴正交的发射线圈,在无线胶囊内窥镜内只布置一个二轴正交的感应线圈,发射线圈放置在人体附近,发射线圈的线圈I、线圈II和线圈III顺序发射各自固定频率的信号,三轴发射线圈发射完一次信号称为一个周期,二轴感应线圈在一个周期内感应输出三组不同频率的电压信号,从而建立方程组进行三维位置和三维姿态的计算,该方法集成方便、二轴感应线圈占用无线胶囊内窥镜空间小,能实时连续对无线胶囊内窥镜定位,方便后续操作,安全可靠,成本低廉。
The invention provides a three-dimensional position and three-dimensional attitude positioning system of a wireless capsule endoscope and a positioning method thereof, including a transmitting coil arranged outside the human body and having three axes orthogonal, an external wireless receiving module, an external position and attitude calculation module, and an internal The wireless capsule endoscope adopts a three-axis orthogonal transmitting coil arranged outside the human body, and only a two-axis orthogonal induction coil is arranged in the wireless capsule endoscope. The transmitting coil is placed near the human body, and the coil I of the transmitting coil is , Coil II and Coil III sequentially transmit signals of their respective fixed frequencies. After the three-axis transmitting coil transmits a signal once, it is called a cycle. For the calculation of the three-dimensional position and the three-dimensional attitude, the method is easy to integrate, the two-axis induction coil occupies a small space of the wireless capsule endoscope, and can continuously position the wireless capsule endoscope in real time, which is convenient for subsequent operations, safe, reliable, and low-cost.
Description
【技术领域】【Technical field】
本发明涉及三维定位技术,尤其涉及无线胶囊内窥镜三维位置和三维姿态的定位系统及其定位方法。The invention relates to a three-dimensional positioning technology, in particular to a positioning system and a positioning method for the three-dimensional position and three-dimensional attitude of a wireless capsule endoscope.
【背景技术】【Background technique】
当前,临床的无线胶囊内窥镜缺点之一就是不能主动受控,要实现这一主动受控功能并方便临床使用,无线胶囊内窥镜的三维位置和三维姿态信息要实时反馈给控制系统;同时,无线胶囊内窥镜在重建的消化道里视觉导航也需要三维位置和三维姿态信息,医生才能方便操控无线胶囊窥镜。At present, one of the shortcomings of the clinical wireless capsule endoscope is that it cannot be actively controlled. To achieve this actively controlled function and facilitate clinical use, the three-dimensional position and three-dimensional attitude information of the wireless capsule endoscope must be fed back to the control system in real time; At the same time, the visual navigation of the wireless capsule endoscope in the reconstructed digestive tract also requires three-dimensional position and three-dimensional attitude information, so that the doctor can easily control the wireless capsule endoscope.
针对以上问题,现有技术中普遍利用X光成像、CT(计算机断层扫描)和MRI(核磁共振)成像技术进行三维重建来定位无线胶囊内窥镜,这种由重建技术间接定位的速度和精度都受到影响,并且射线存在损害,不宜长时间定位。In view of the above problems, in the prior art, X-ray imaging, CT (computed tomography) and MRI (magnetic resonance) imaging technologies are generally used for three-dimensional reconstruction to locate wireless capsule endoscopes. are affected, and there is damage to the rays, so it is not suitable for long-term positioning.
以色列的Given Imaging公司最早提出了一种应用于无线胶囊内窥镜定位的无线射频(RF)信号定位技术。其利用在人体外的8个无线射频天线接收体内无线胶囊内窥镜发射的无线射频信号,并利用算法获取无线胶囊内窥镜的位置。该方法直接利用了无线胶囊内窥镜传输图象的无线射频信号,缺点是定位精度低,平均定位精度为37.7毫米,临床应用效果不好。Given Imaging Company of Israel first proposed a wireless radio frequency (RF) signal positioning technology for wireless capsule endoscope positioning. It uses 8 wireless radio frequency antennas outside the human body to receive the radio frequency signals emitted by the wireless capsule endoscope in the body, and uses an algorithm to obtain the position of the wireless capsule endoscope. The method directly utilizes the radio frequency signal of the image transmitted by the wireless capsule endoscope, but has the disadvantage of low positioning accuracy, with an average positioning accuracy of 37.7 mm, and the clinical application effect is not good.
也有人提出了利用永磁定位技术定位无线胶囊内窥镜。在无线胶囊内窥镜内部放置永磁体作为磁标记,在人体周围布置多个磁场传感器测量不同点的磁场,用算法计算出无线胶囊内窥镜的三维位置和镜头对准(二维)方向。该技术具有精度高,定位速度快的优点,但无法确定无线胶囊内窥镜绕主轴旋转的方向变化信息,这一维信息缺失就不能利用无线胶囊内窥镜拍摄的图像进行消化道三维重建;另外,由于永磁体的磁场强度随距离增加快速衰减,磁场传感器和磁标记间的有效距离难以满足人体尺寸要求。It has also been proposed to use permanent magnet positioning technology to locate wireless capsule endoscopes. A permanent magnet is placed inside the wireless capsule endoscope as a magnetic marker, multiple magnetic field sensors are arranged around the human body to measure the magnetic field at different points, and an algorithm is used to calculate the three-dimensional position and lens alignment (two-dimensional) direction of the wireless capsule endoscope. This technology has the advantages of high accuracy and fast positioning speed, but it cannot determine the direction change information of the wireless capsule endoscope rotating around the main axis. If this dimensional information is missing, the image captured by the wireless capsule endoscope cannot be used for 3D reconstruction of the digestive tract; In addition, since the magnetic field strength of the permanent magnet decays rapidly with the increase of the distance, the effective distance between the magnetic field sensor and the magnetic marker is difficult to meet the requirements of the size of the human body.
也有人提出基于永磁和感应线圈的定位方法,即利用机械臂控制永磁体的位置和方向,让永磁体在震动模块的作用下作往复运动产生变化的磁场,胶囊内的三轴感应线圈输出感应电动势。此方法需要在无线胶囊内窥镜内布置两个三轴感应线圈才能定位,要增大无线胶囊内窥镜的体积。Some people have also proposed a positioning method based on permanent magnets and induction coils, that is, using a robotic arm to control the position and direction of the permanent magnets, allowing the permanent magnets to reciprocate under the action of the vibration module to generate a changing magnetic field, and the three-axis induction coil in the capsule outputs the output. Induced electromotive force. This method needs to arrange two three-axis induction coils in the wireless capsule endoscope for positioning, which increases the volume of the wireless capsule endoscope.
【发明内容】[Content of the invention]
为了解决现有技术不足,本发明的目的在于提供一种只采用一个二轴感应线圈,集成方便,占用无线胶囊内窥镜空间小,可实时连续对无线胶囊内窥镜定位,方便后续操作的无线胶囊内窥镜三维位置和三维姿态的定位系统及其定位方法。In order to solve the deficiencies of the prior art, the purpose of the present invention is to provide a wireless capsule endoscope that uses only one two-axis induction coil, is easy to integrate, occupies a small space for the wireless capsule endoscope, can continuously position the wireless capsule endoscope in real time, and is convenient for subsequent operations. A positioning system and a positioning method for the three-dimensional position and three-dimensional attitude of a wireless capsule endoscope.
为了实现上述发明目的,本发明采用的技术方案是:In order to realize the above-mentioned purpose of the invention, the technical scheme adopted in the present invention is:
该发明的第一发明目的,提供无线胶囊内窥镜三维位置和三维姿态的定位系统,包括设置于人体外且三轴正交的发射线圈、体外无线接收模块、体外位姿计算模块和位于体内的无线胶囊内窥镜,所述发射线圈由三轴正交的线圈I、线圈II和线圈III组成,所述线圈I、线圈II和线圈III顺序发射各自固定频率的信号,线圈I、线圈II、线圈III发射完一次信号形成一个周期;所述无线胶囊内窥镜内设置有二轴正交的感应线圈,所述二轴正交的感应线圈对应发射线圈的一个周期内输出三组不同频率的电压信号,且二轴正交的感应线圈输出的每组不同频率的电压信号个数为二个;所述发射线圈与无线胶囊内窥镜之间通过交变磁场形成磁路,所述无线胶囊内窥镜与体外无线接收模块之间通过无线信号连接,所述位姿计算模块与体外无线接收模块之间直接连接。The first purpose of the invention is to provide a positioning system for the three-dimensional position and three-dimensional attitude of a wireless capsule endoscope, including a transmitting coil disposed outside the human body and having three axes orthogonal, an external wireless receiving module, an external posture calculation module, and an internal The wireless capsule endoscope, the transmitting coil is composed of three-axis orthogonal coil I, coil II and coil III, the coil I, coil II and coil III sequentially transmit signals of their respective fixed frequencies, coil I, coil II , Coil III transmits a signal to form a cycle; the wireless capsule endoscope is provided with a two-axis orthogonal induction coil, and the two-axis orthogonal induction coil outputs three groups of different frequencies in one cycle corresponding to the transmitting coil The number of voltage signals of each group of different frequencies output by the two-axis orthogonal induction coil is two; a magnetic circuit is formed between the transmitting coil and the wireless capsule endoscope through an alternating magnetic field, and the wireless The capsule endoscope and the external wireless receiving module are connected by wireless signals, and the pose calculation module and the external wireless receiving module are directly connected.
优选地,所述无线胶囊内窥镜还包括信号放大模块、AD转换模块和无线发送模块,所述二轴正交的感应线圈与信号放大模块直接连接,所述信号放大模块与AD转换模块直接连接,所述AD转换模块与无线发送模块直接连接。Preferably, the wireless capsule endoscope further includes a signal amplification module, an AD conversion module and a wireless transmission module, the two-axis orthogonal induction coil is directly connected to the signal amplification module, and the signal amplification module is directly connected to the AD conversion module connected, the AD conversion module is directly connected with the wireless transmission module.
该发明第二发明目的,提供无线胶囊内窥镜三维位置和三维姿态的定位方法,包括以下步骤:The second purpose of the present invention is to provide a method for locating the three-dimensional position and three-dimensional attitude of a wireless capsule endoscope, including the following steps:
步骤1、在人体外设置三轴正交的发射线圈,在无线胶囊内窥镜内设置二轴正交的感应线圈,发射线圈由三轴正交的线圈I、线圈II和线圈III组成;Step 1. A three-axis orthogonal transmitting coil is set outside the human body, and a two-axis orthogonal induction coil is set in the wireless capsule endoscope, and the transmitting coil is composed of three-axis orthogonal coil I, coil II and coil III;
步骤2、发射线圈所在三个轴建立的坐标系OXYZ作为参考坐标系,感应线圈二个轴的交点设置在无线胶囊内窥镜中心点,作为无线胶囊内窥镜的位置,其在参考坐标系中表示为(x,y,z),感应线圈所在的二个轴建立的坐标系O'uxuy uz作为物体坐标系,用单位向量ux和uy指示无线胶囊内窥镜的姿态;Step 2. The coordinate system OXYZ established by the three axes where the transmitting coil is located is used as the reference coordinate system, and the intersection of the two axes of the induction coil is set at the center point of the wireless capsule endoscope as the position of the wireless capsule endoscope, which is in the reference coordinate system The coordinate system O'u x u y u z established by the two axes where the induction coil is located is used as the object coordinate system, and the unit vectors u x and u y are used to indicate the position of the wireless capsule endoscope. attitude;
步骤3、上电后,发射线圈的线圈I、线圈II和线圈III在每一个周期内顺序发射各自固定频率的信号;Step 3. After the power is turned on, the coil I, the coil II and the coil III of the transmitting coil sequentially transmit signals of their respective fixed frequencies in each cycle;
步骤4、无线胶囊内窥镜内的放大模块放大感应线圈的输出电压;Step 4. The amplification module in the wireless capsule endoscope amplifies the output voltage of the induction coil;
步骤5、无线胶囊内窥镜内AD转换模块采样经过放大的输出电压;Step 5. The AD conversion module in the wireless capsule endoscope samples the amplified output voltage;
步骤6、无线胶囊内窥镜内的无线发送模块发送采样信号;Step 6. The wireless sending module in the wireless capsule endoscope sends the sampling signal;
步骤7、体外无线接收模块接收采样信号,并发送给位姿计算模块;Step 7. The external wireless receiving module receives the sampling signal and sends it to the pose calculation module;
步骤8、位姿计算模块的定位过程如下:Step 8. The positioning process of the pose calculation module is as follows:
求解9个参数(x,y,z,uxx,uxy,uxz,uyx,uyy,uyz),其中(uxx,uxy,uxz)和(uyx,uyy,uyz)分别表示ux和uy在参考坐标系的X、Y、Z轴的投影分量;Solve for 9 parameters (x,y,z,u xx ,u xy ,u xz ,u yx ,u yy ,u yz ), where (u xx ,u xy ,u xz ) and (u yx ,u yy ,u yz ) respectively represent the projection components of u x and u y on the X, Y, and Z axes of the reference coordinate system;
将每个轴的发射线圈都等效为磁偶极子,根据毕奥萨法尔定律,磁偶极子在无线胶囊内窥镜位置处产生的磁通量密度沿参考坐标系的X、Y、Z轴的三个正交分量如公式(1)、(2)、(3)所示:The transmitting coil of each axis is equivalent to a magnetic dipole. According to Biosafal's law, the magnetic flux density generated by the magnetic dipole at the position of the wireless capsule endoscope is along the X, Y, Z of the reference coordinate system. The three orthogonal components of the axis are shown in equations (1), (2), (3):
其中,(m,n,p)是各轴发射线圈的方向向量,(x,y,z)是感应线圈的位置,(a,b,c)是发射线圈的位置,BT是与发射线圈有关的一个常量,L是感应线圈到发射线圈的距离,L如公式(4)所示:Among them, (m, n, p) is the direction vector of the transmitting coil of each axis, (x, y, z) is the position of the induction coil, (a, b, c) is the position of the transmitting coil, and B T is the position of the transmitting coil. A related constant, L is the distance from the induction coil to the transmitter coil, L is shown in formula (4):
由于物体坐标系发生了偏转,物体坐标系的坐标轴与参考坐标系的坐标轴不重合,发射线圈在无线胶囊内窥镜位置产生的磁通量密度在物体坐标系下的值为公式(5)所示:Due to the deflection of the object coordinate system, the coordinate axis of the object coordinate system does not coincide with the coordinate axis of the reference coordinate system, the magnetic flux density generated by the transmitting coil at the position of the wireless capsule endoscope in the object coordinate system is the value given by formula (5). Show:
其中,R为方位矩阵,如公式(6)所示,由于只有两个感应线圈,所以B'z不激发线圈输出电压;Among them, R is the azimuth matrix, as shown in formula (6), since there are only two induction coils, B' z does not excite the coil output voltage;
其中in
(uxx,uxy,uxz)=ux (7)(u xx , u xy , u xz )=u x (7)
(uyx,uyy,uyz)=uy (8)(u yx , u yy , u yz )=u y (8)
感应线圈输出的是感应电压信号,根据法拉第电磁感应定律,感应线圈产生的感应电动势为公式(9)所示:The output of the induction coil is an induced voltage signal. According to Faraday's law of electromagnetic induction, the induced electromotive force generated by the induction coil is shown in formula (9):
其中,N为感应线圈匝数,φ为穿过曲面S的磁通量;Among them, N is the number of turns of the induction coil, and φ is the magnetic flux passing through the curved surface S;
在ux和uy方向上,感应线圈输出的电压信号与磁通量密度之间的关系如下:In the u x and u y directions, the relationship between the voltage signal output by the induction coil and the magnetic flux density is as follows:
由于感器线圈很小,故将其体积忽略,认为感应线圈各处磁通量密度相等,所以公式(10)和(11)变为如下公式(12)和(13),Since the inductor coil is very small, its volume is ignored, and the magnetic flux density is considered to be equal everywhere in the inductor coil, so formulas (10) and (11) become the following formulas (12) and (13),
因为感应线圈的方向与物体坐标系的坐标轴方向相同,所以得到如下公式(14)和(15),Because the direction of the induction coil is the same as the direction of the coordinate axis of the object coordinate system, the following formulas (14) and (15) are obtained,
若发射已知频率的正弦信号,物体坐标系下的磁通量密度可以描述为如下公式(16):If a sinusoidal signal of known frequency is emitted, the magnetic flux density in the object coordinate system can be described as the following formula (16):
至此,可以得出感应线圈的ux、uy轴输出电压值与物体坐标系各轴上磁通量密度之间的关系式,如公式(17)、(18)所示:So far, the relationship between the u x and u y axis output voltage values of the induction coil and the magnetic flux density on each axis of the object coordinate system can be obtained, as shown in formulas (17) and (18):
感应线圈的输出电压信号是与发射信号同频率的余弦信号,取该信号的幅值来建立方程组,设ETx=-ωxNx·Sx,ETy=-ωyNy·Sy,ETz=-ωzNz·Sz,得到方程组(19)、(20)如下:The output voltage signal of the induction coil is a cosine signal with the same frequency as the transmitted signal, and the amplitude of the signal is taken to establish a system of equations. Let E Tx =-ω x N x ·S x , E Ty =-ω y N y ·S y , E Tz =-ω z N z ·S z , the equations (19) and (20) are obtained as follows:
εx max=-ωNx·B'x max·Sx=ETx·B'x max (19)ε x max = -ωN x · B' x max · S x =E Tx · B' x max (19)
εy max=-ωNy·B'y max·Sy=ETy·B'y max (20)ε y max =-ωN y ·B' y max ·S y =E Ty ·B' y max (20)
提取余弦信号幅值和相位的方法有快速傅里叶变换或函数拟合方法等;The methods of extracting the amplitude and phase of the cosine signal include fast Fourier transform or function fitting methods;
若三个轴的发射线圈依次激励各自固定频率的正弦信号,二轴的感应线圈总计感应到6组交变信号,从而可以建立6个方程,由于要求解9个未知参数,所以还需要3个方程;由于ux和uy取单位向量,并且相互垂直,所以再增加如下3个约束方程,3个方程式(21)、(22)、(23)如下所示:If the transmitting coils of the three axes excite the sinusoidal signals of their respective fixed frequencies in turn, the induction coils of the two axes induce a total of 6 groups of alternating signals, so that 6 equations can be established. Since 9 unknown parameters need to be solved, 3 more Equation; since u x and u y take unit vectors and are perpendicular to each other, the following three constraint equations are added, and the three equations (21), (22), (23) are as follows:
uxx.uyx+uxy.uyy+uxz.uyz=0 (23)u xx .u yx +u xy .u yy +u xz .u yz =0 (23)
下面分别对发射线圈的三个轴进行分析:The three axes of the transmitting coil are analyzed as follows:
线圈I对应于参考坐标系的X轴,其位置和方向参数为Coil I corresponds to the X-axis of the reference coordinate system, and its position and orientation parameters are
(a,b,c)=(0,0,0)(a, b, c) = (0, 0, 0)
(m,n,p)=(1,0,0)(m,n,p)=(1,0,0)
将其带入公式(1)、(2)和(3)中,得到公式(24)、(25)和(26)如下:Bringing it into equations (1), (2) and (3), we get equations (24), (25) and (26) as follows:
线圈II对应于参考坐标系的Y轴,其位置和方向参数为Coil II corresponds to the Y-axis of the reference coordinate system, and its position and orientation parameters are
(a,b,c)=(0,0,0)(a, b, c) = (0, 0, 0)
(m,n,p)=(0,1,0)(m,n,p)=(0,1,0)
将其带入公式(1)、(2)和(3)中,得到公式(27)、(28)和(29)如下:Bringing this into equations (1), (2) and (3), we get equations (27), (28) and (29) as follows:
线圈III对应于参考坐标系的Z轴,其位置和方向参数为Coil III corresponds to the Z axis of the reference frame, and its position and orientation parameters are
(a,b,c)=(0,0,0)(a, b, c) = (0, 0, 0)
(m,n,p)=(0,0,1)(m,n,p)=(0,0,1)
将其带入公式(1)、(2)和(3)中,得到公式(30)、(31)和(32)如下:Bringing it into equations (1), (2) and (3), we get equations (30), (31) and (32) as follows:
根据公式(5)、(19)和(20),再定义公式(33)如下:According to formulas (5), (19) and (20), formula (33) is redefined as follows:
其中,Bix max、Biy max和Biz max分别是三轴发射线圈的线圈I、线圈II和线圈III发射时,在感应线圈处产生的磁通量密度沿参考坐标系的X、Y、Z轴三个分量的幅值,即是Bix、Biy和Biz的幅值;εix max和εiy max分别是三轴发射线圈的线圈I、线圈II和线圈III发射时,无线胶囊内窥镜内二轴感应线圈的ux和uy轴感应电压的理论幅值,εiz max没有感应线圈输出,所以不参与计算;Among them, B ix max , B iy max and B iz max are respectively the magnetic flux density generated at the induction coil along the X, Y and Z axes of the reference coordinate system when the coil I, coil II and coil III of the three-axis transmitting coil transmit. The amplitudes of the three components are the amplitudes of B ix , B iy and B iz ; ε ix max and ε iy max are respectively the coil I, coil II and coil III of the three-axis transmitting coil. The theoretical amplitude of the u x and u y -axis induced voltages of the two-axis induction coil in the mirror, ε iz max has no induction coil output, so it does not participate in the calculation;
设ε′ix max和ε′iy max分别是发射线圈的线圈I、线圈II和线圈III发射时,无线胶囊内窥镜内二轴感应线圈的ux和uy轴感应电压的实际输出值,即测量值,定义误差E的公式(34)如下:Let ε′ ix max and ε′ iy max be the actual output values of the u x and u y -axis induced voltages of the two-axis induction coil in the wireless capsule endoscope when the coil I, coil II and coil III of the transmitting coil transmit, respectively, That is, the measured value, the formula (34) that defines the error E is as follows:
利用优化算法如Levenberg-Marquardt或Gauss-Newton算法等,使E最小,可以求解出无线胶囊内窥镜的位姿参数(x,y,z,uxx,uxy,uxz,uyx,uyy,uyz);Using optimization algorithms such as Levenberg-Marquardt or Gauss-Newton algorithm to minimize E, the pose parameters (x, y, z, u xx , u xy , u xz , u yx , u ) of the wireless capsule endoscope can be solved yy , u yz );
步骤9、位姿计算模块将无线胶囊内窥镜的位姿信息发送给显示终端,实时反映当前无线胶囊内窥镜的位姿,便于操作者观察或后续应用。Step 9: The pose calculation module sends the pose information of the wireless capsule endoscope to the display terminal, and reflects the current pose of the wireless capsule endoscope in real time, which is convenient for the operator to observe or follow-up application.
本发明的有益效果是:The beneficial effects of the present invention are:
本发明采用在人体外设置一个三轴正交的发射线圈,在无线胶囊内窥镜内只布置一个二轴正交的感应线圈,发射线圈放置在人体附近,发射线圈的线圈I、线圈II和线圈III顺序发射各自固定频率的信号,三轴发射线圈发射完一次信号称为一个周期,二轴感应线圈在一个周期内感应输出三组不同频率的电压信号,从而建立方程组进行无线胶囊内窥镜三维位置和三维姿态的计算,该方法集成方便、二轴感应线圈占用无线胶囊内窥镜空间小,能实时连续对无线胶囊内窥镜定位,方便后续操作,安全可靠、成本低廉。In the present invention, a three-axis orthogonal transmitting coil is arranged outside the human body, and only one two-axis orthogonal induction coil is arranged in the wireless capsule endoscope. The transmitting coil is placed near the human body, and the coil I, coil II and Coil III transmits signals of their respective fixed frequencies in sequence. After the three-axis transmitting coil transmits a signal once, it is called a cycle. The two-axis induction coil induces and outputs three sets of voltage signals of different frequencies in one cycle, thereby establishing a system of equations for wireless capsule endoscopy. The calculation of the three-dimensional position and three-dimensional attitude of the mirror is convenient for integration, and the two-axis induction coil occupies a small space of the wireless capsule endoscope.
【附图说明】【Description of drawings】
图1是本发明体外三轴发射线圈及其对应的无线胶囊内窥镜内部二轴线圈的放大结构示意图;Fig. 1 is the enlarged structural schematic diagram of the external three-axis transmitting coil of the present invention and the corresponding internal two-axis coil of the wireless capsule endoscope;
图2是本发明的定位流程图。Fig. 2 is a positioning flow chart of the present invention.
【具体实施方式】【Detailed ways】
为使本发明的上述目的、特征和优点能够更加明显易懂,下面结合附图对本发明的具体实施方式做详细的说明。In order to make the above objects, features and advantages of the present invention more clearly understood, the specific embodiments of the present invention will be described in detail below with reference to the accompanying drawings.
无线胶囊内窥镜三维位置和三维姿态的定位系统,如图1所示,包括设置于人体外且三轴正交的发射线圈、体外无线接收模块、体外位姿计算模块和位于体内的无线胶囊内窥镜,所述发射线圈由三轴正交的线圈I、线圈II和线圈III组成,所述线圈I、线圈II和线圈III顺序发射各自固定频率的信号,线圈I、线圈II、线圈III发射完一次信号形成一个周期;所述无线胶囊内窥镜内设置有二轴正交的感应线圈,所述二轴正交的感应线圈对应发射线圈的一个周期内输出三组不同频率的电压信号,且二轴正交的感应线圈输出的每组不同频率的电压信号个数为二个;所述发射线圈与无线胶囊内窥镜之间通过交变磁场形成磁路,所述无线胶囊内窥镜与体外无线接收模块之间通过无线信号连接,所述位姿计算模块与体外无线接收模块之间直接连接。The positioning system of the three-dimensional position and three-dimensional attitude of the wireless capsule endoscope, as shown in Figure 1, includes a transmitting coil set outside the human body and three-axis orthogonal, an external wireless receiving module, an external posture calculation module and a wireless capsule located in the body. In the endoscope, the transmitting coil is composed of three-axis orthogonal coil I, coil II and coil III. The coil I, coil II and coil III transmit signals of respective fixed frequencies in sequence. Coil I, coil II and coil III One cycle is formed after one signal is transmitted; the wireless capsule endoscope is provided with a two-axis orthogonal induction coil, and the two-axis orthogonal induction coil outputs three groups of voltage signals with different frequencies in one cycle corresponding to the transmitting coil , and the number of voltage signals of each group of different frequencies output by the two-axis orthogonal induction coil is two; a magnetic circuit is formed between the transmitting coil and the wireless capsule endoscope through an alternating magnetic field, and the wireless capsule endoscope forms a magnetic circuit. The mirror and the external wireless receiving module are connected by wireless signals, and the pose calculation module and the external wireless receiving module are directly connected.
其中,无线胶囊内窥镜还包括信号放大模块、AD转换模块和无线发送模块,所述二轴正交的感应线圈与信号放大模块直接连接,所述信号放大模块与AD转换模块直接连接,所述AD转换模块与无线发送模块直接连接。The wireless capsule endoscope further includes a signal amplification module, an AD conversion module and a wireless transmission module. The two-axis orthogonal induction coil is directly connected to the signal amplification module, and the signal amplification module is directly connected to the AD conversion module. The AD conversion module is directly connected with the wireless transmission module.
该实施例的无线胶囊内窥镜三维位置和三维姿态的定位方法,如图2所示,包括以下步骤:The method for locating the three-dimensional position and three-dimensional attitude of the wireless capsule endoscope in this embodiment, as shown in FIG. 2 , includes the following steps:
步骤1、在人体外设置三轴正交的发射线圈,在无线胶囊内窥镜内设置二轴正交的感应线圈,发射线圈由三轴正交的线圈I、线圈II和线圈III组成;Step 1. A three-axis orthogonal transmitting coil is set outside the human body, and a two-axis orthogonal induction coil is set in the wireless capsule endoscope, and the transmitting coil is composed of three-axis orthogonal coil I, coil II and coil III;
步骤2、发射线圈所在三个轴建立的坐标系OXYZ作为参考坐标系,感应线圈二个轴的交点设置在无线胶囊内窥镜中心点,作为无线胶囊内窥镜的位置,其在参考坐标系中表示为(x,y,z),感应线圈所在的二个轴建立的坐标系O'uxuy uz作为物体坐标系,用单位向量ux和uy指示无线胶囊内窥镜的姿态;Step 2. The coordinate system OXYZ established by the three axes where the transmitting coil is located is used as the reference coordinate system, and the intersection of the two axes of the induction coil is set at the center point of the wireless capsule endoscope as the position of the wireless capsule endoscope, which is in the reference coordinate system The coordinate system O'u x u y u z established by the two axes where the induction coil is located is used as the object coordinate system, and the unit vectors u x and u y are used to indicate the position of the wireless capsule endoscope. attitude;
步骤3、上电后,发射线圈的线圈I、线圈II和线圈III在每一个周期内顺序发射各自固定频率的信号;Step 3. After the power is turned on, the coil I, the coil II and the coil III of the transmitting coil sequentially transmit signals of their respective fixed frequencies in each cycle;
步骤4、无线胶囊内窥镜内的放大模块放大感应线圈的输出电压;Step 4. The amplification module in the wireless capsule endoscope amplifies the output voltage of the induction coil;
步骤5、无线胶囊内窥镜内AD转换模块采样经过放大的输出电压;Step 5. The AD conversion module in the wireless capsule endoscope samples the amplified output voltage;
步骤6、无线胶囊内窥镜内的无线发送模块发送采样信号;Step 6. The wireless sending module in the wireless capsule endoscope sends the sampling signal;
步骤7、体外无线接收模块接收采样信号,并发送给位姿计算模块;Step 7. The external wireless receiving module receives the sampling signal and sends it to the pose calculation module;
步骤8、位姿计算模块的定位过程如下:Step 8. The positioning process of the pose calculation module is as follows:
求解9个参数(x,y,z,uxx,uxy,uxz,uyx,uyy,uyz),其中(uxx,uxy,uxz)和(uyx,uyy,uyz)分别表示ux和uy在参考坐标系的X、Y、Z轴的投影分量;Solve for 9 parameters (x,y,z,u xx ,u xy ,u xz ,u yx ,u yy ,u yz ), where (u xx ,u xy ,u xz ) and (u yx ,u yy ,u yz ) respectively represent the projection components of u x and u y on the X, Y, and Z axes of the reference coordinate system;
将每个轴的发射线圈等效成磁偶极子,根据毕奥萨法尔定律,磁偶极子在无线胶囊内窥镜位置处产生的磁通量密度沿参考坐标系的X、Y、Z轴的三个正交分量如公式(1)、(2)、(3)所示:The transmitting coil of each axis is equivalent to a magnetic dipole. According to Biosafar's law, the magnetic flux density generated by the magnetic dipole at the position of the wireless capsule endoscope is along the X, Y, and Z axes of the reference coordinate system. The three orthogonal components of are shown in formulas (1), (2), (3):
其中,(m,n,p)是各轴发射线圈的方向向量,(x,y,z)是感应线圈的位置,(a,b,c)是发射线圈的位置,BT是与发射线圈有关的一个常量,L是感应线圈到发射线圈的距离,L如公式(4)所示:Among them, (m, n, p) is the direction vector of the transmitting coil of each axis, (x, y, z) is the position of the induction coil, (a, b, c) is the position of the transmitting coil, and B T is the position of the transmitting coil. A related constant, L is the distance from the induction coil to the transmitter coil, L is shown in formula (4):
由于物体坐标系发生了偏转,物体坐标系的坐标轴与参考坐标系的坐标轴不重合,发射线圈在无线胶囊内窥镜位置产生的磁通量密度在物体坐标系下的值为公式(5)所示:Due to the deflection of the object coordinate system, the coordinate axis of the object coordinate system does not coincide with the coordinate axis of the reference coordinate system, the magnetic flux density generated by the transmitting coil at the position of the wireless capsule endoscope in the object coordinate system is the value given by formula (5). Show:
其中,R为方位矩阵,如公式(6)所示,由于只有两个感应线圈,所以B'z不激发线圈输出电压;Among them, R is the azimuth matrix, as shown in formula (6), since there are only two induction coils, B' z does not excite the coil output voltage;
其中in
(uxx,uxy,uxz)=ux (7)(u xx , u xy , u xz )=u x (7)
(uyx,uyy,uyz)=uy (8)(u yx , u yy , u yz )=u y (8)
感应线圈输出的是感应电压信号,根据法拉第电磁感应定律,感应线圈产生的感应电动势为公式(9)所示:The output of the induction coil is an induced voltage signal. According to Faraday's law of electromagnetic induction, the induced electromotive force generated by the induction coil is shown in formula (9):
其中,N为感应线圈匝数,φ为穿过曲面S的磁通量;Among them, N is the number of turns of the induction coil, and φ is the magnetic flux passing through the curved surface S;
在ux和uy方向上,感应线圈输出的电压信号与磁通量密度之间的关系如下:In the u x and u y directions, the relationship between the voltage signal output by the induction coil and the magnetic flux density is as follows:
由于感器线圈很小,故将其体积忽略,认为感应线圈各处磁通量密度相等,所以公式(10)和(11)变为如下公式(12)和(13),Since the inductor coil is very small, its volume is ignored, and the magnetic flux density is considered to be equal everywhere in the inductor coil, so formulas (10) and (11) become the following formulas (12) and (13),
因为感应线圈的方向与物体坐标系的坐标轴方向相同,所以得到如下公式(14)和(15),Because the direction of the induction coil is the same as the direction of the coordinate axis of the object coordinate system, the following formulas (14) and (15) are obtained,
若发射已知频率的正弦信号,也可用其它信号,本发明不限于此,物体坐标系下的磁通量密度可以描述为如下公式(16):If a sinusoidal signal with a known frequency is emitted, other signals can also be used. The present invention is not limited to this. The magnetic flux density in the object coordinate system can be described as the following formula (16):
至此,可以得出感应线圈的ux、uy轴输出电压值与物体坐标系各轴上磁通量密度之间的关系式,如公式(17)、(18)所示:So far, the relationship between the output voltage values of the u x and u y axes of the induction coil and the magnetic flux density on each axis of the object coordinate system can be obtained, as shown in formulas (17) and (18):
感应线圈的输出电压信号是与发射信号同频率的余弦信号,取该信号的幅值来建立方程组,设ETx=-ωxNx·Sx,ETy=-ωyNy·Sy,ETz=-ωzNz·Sz,得到方程组(19)、(20)如下:The output voltage signal of the induction coil is a cosine signal with the same frequency as the transmitted signal, and the amplitude of the signal is taken to establish a system of equations. Let E Tx =-ω x N x ·S x , E Ty =-ω y N y ·S y , E Tz =-ω z N z ·S z , the equations (19) and (20) are obtained as follows:
εx max=-ωNx·B'x max·Sx=ETx·B'x max (19)ε x max = -ωN x · B' x max · S x =E Tx · B' x max (19)
εy max=-ωNy·B'y max·Sy=ETy·B'y max (20)ε y max =-ωN y ·B' y max ·S y =E Ty ·B' y max (20)
提取余弦信号幅值和相位的方法有快速傅里叶变换或函数拟合方法,也可用其它方法,本发明不限于此,The method for extracting the amplitude and phase of the cosine signal includes fast Fourier transform or function fitting method, and other methods can also be used, the present invention is not limited to this,
三个轴的发射线圈依次激励各自不同频率的正弦信号,二轴感应线圈总计感应到6组交变信号,从而可以建立6个方程,由于要求解9个未知参数,所以还需要3个方程;由于ux和uy取单位向量,并且相互垂直,所以再增加如下3个约束方程,3个方程式(21)、(22)、(23)如下所示:The transmitting coils of the three axes excite sinusoidal signals of different frequencies in turn, and the two-axis induction coils induce a total of 6 groups of alternating signals, so that 6 equations can be established. Since 9 unknown parameters are required to be solved, 3 equations are required; Since u x and u y take unit vectors and are perpendicular to each other, the following three constraint equations are added. The three equations (21), (22), (23) are as follows:
uxx.uyx+uxy.uyy+uxz.uyz=0 (23)u xx .u yx +u xy .u yy +u xz .u yz =0 (23)
下面分别对发射线圈的三个轴进行分析:The three axes of the transmitting coil are analyzed as follows:
线圈I对应于参考坐标系的X轴,其位置和方向参数为Coil I corresponds to the X-axis of the reference coordinate system, and its position and orientation parameters are
(a,b,c)=(0,0,0)(a, b, c) = (0, 0, 0)
(m,n,p)=(1,0,0)(m,n,p)=(1,0,0)
将其带入公式(1)、(2)和(3)中,得到公式(24)、(25)和(26)如下:Bringing it into equations (1), (2) and (3), we get equations (24), (25) and (26) as follows:
线圈II对应于参考坐标系的Y轴,其位置和方向参数为Coil II corresponds to the Y-axis of the reference coordinate system, and its position and orientation parameters are
(a,b,c)=(0,0,0)(a, b, c) = (0, 0, 0)
(m,n,p)=(0,1,0)(m,n,p)=(0,1,0)
将其带入公式(1)、(2)和(3)中,得到公式(27)、(28)和(29)如下:Bringing this into equations (1), (2) and (3), we get equations (27), (28) and (29) as follows:
线圈III对应于参考坐标系的Z轴,其位置和方向参数为Coil III corresponds to the Z axis of the reference frame, and its position and orientation parameters are
(a,b,c)=(0,0,0)(a, b, c) = (0, 0, 0)
(m,n,p)=(0,0,1)(m,n,p)=(0,0,1)
将其带入公式(1)、(2)和(3)中,得到公式(30)、(31)和(32)如下:Bringing it into equations (1), (2) and (3), we get equations (30), (31) and (32) as follows:
根据公式(5)、(19)和(20),再定义公式(33)如下:According to formulas (5), (19) and (20), formula (33) is redefined as follows:
其中,Bix max、Biy max和Biz max分别是三轴发射线圈的线圈I、线圈II和线圈III发射时,在感应线圈处产生的磁通量密度沿参考坐标系的X、Y、Z轴三个分量的幅值,即是Bix、Biy和Biz的幅值;εix max和εiy max分别是三轴发射线圈的线圈I、线圈II和线圈III发射时,无线胶囊内窥镜内二轴感应线圈的ux和uy轴感应电压的理论幅值,εiz max没有感应线圈输出,所以不参与计算;Among them, B ix max , B iy max and B iz max are respectively the magnetic flux density generated at the induction coil along the X, Y and Z axes of the reference coordinate system when the coil I, the coil II and the coil III of the three-axis transmitting coil transmit. The amplitudes of the three components are the amplitudes of B ix , B iy and B iz ; ε ix max and ε iy max are respectively the coil I, coil II and coil III of the three-axis transmitting coil. The theoretical amplitude of the u x and u y -axis induced voltages of the two-axis induction coil in the mirror, ε iz max has no induction coil output, so it does not participate in the calculation;
设ε′ix max和ε′iy max分别是发射线圈的线圈I、线圈II和线圈III发射时,无线胶囊内窥镜内二轴感应线圈的ux和uy轴感应电压的实际输出值,即测量值,定义误差E的公式(34)如下:Let ε′ ix max and ε′ iy max be the actual output values of the u x and u y -axis induced voltages of the two-axis induction coil in the wireless capsule endoscope when the coil I, coil II and coil III of the transmitting coil transmit, respectively, That is, the measured value, the formula (34) that defines the error E is as follows:
利用优化算法如Levenberg-Marquardt或Gauss-Newton算法,也可用其它方法,本发明不限于此,使E最小,可以求解出无线胶囊内窥镜的位姿参数(x,y,z,uxx,uxy,uxz,uyx,uyy,uyz);Using an optimization algorithm such as Levenberg-Marquardt or Gauss-Newton algorithm, other methods can also be used, the present invention is not limited to this, and the pose parameters of the wireless capsule endoscope (x, y, z, u xx , u xy ,u xz ,u yx ,u yy ,u yz );
步骤9、位姿计算模块将无线胶囊内窥镜的位姿信息发送给显示终端,实时反映当前无线胶囊内窥镜的位姿,便于操作者观察或后续应用。Step 9: The pose calculation module sends the pose information of the wireless capsule endoscope to the display terminal, and reflects the current pose of the wireless capsule endoscope in real time, which is convenient for the operator to observe or follow-up application.
以上所述实施例只是为本发明的较佳实施例,并非以此限制本发明的实施范围,除了具体实施例中列举的情况外,凡依本发明原理所作的等效变化,均应涵盖于本发明的保护范围内。The above-mentioned embodiments are only preferred embodiments of the present invention, and are not intended to limit the scope of implementation of the present invention. Except for the cases listed in the specific embodiments, all equivalent changes made according to the principles of the present invention shall be covered in within the protection scope of the present invention.
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