CN102894961A - Electrical impedance tomography method of self-structuring background frame - Google Patents
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Abstract
本发明公开了一种自构造背景帧的电阻抗断层成像方法,该方法将来自目标上均匀分布的电极采集的一帧EIT原始数据导入背景帧构造系统中,在背景帧构造系统中基于EIT原始数据对称性映射过程构造并输出一帧背景帧,通过差分EIT成像将EIT原始数据和基于该数据构造的背景帧的差值作为已知量,通过求解推算目标内部电阻率的分布,最后输出EIT图像;可以实现用一帧EIT原始数据重构目标内部电阻率分布图像。
The invention discloses an electrical impedance tomography method for self-constructing a background frame. The method imports a frame of EIT raw data collected from uniformly distributed electrodes on a target into a background frame construction system. In the background frame construction system, based on the EIT original The data symmetry mapping process constructs and outputs a frame of background frame, and takes the difference between the original EIT data and the background frame constructed based on the data as a known quantity through differential EIT imaging, calculates the distribution of the internal resistivity of the target by solving, and finally outputs EIT Image; it can be used to reconstruct the target internal resistivity distribution image with one frame of EIT raw data.
Description
技术领域technical field
本发明属于电阻抗断层成像(Electrical Impedance Tomography,EIT)领域,特别涉及一种自构造背景帧的电阻抗断层成像方法。The invention belongs to the field of electrical impedance tomography (Electrical Impedance Tomography, EIT), in particular to an electrical impedance tomography method for self-constructing background frames.
背景技术Background technique
电阻抗断层成像通过在被测目标某一断层表面施加一定的交流电流,并测量相应检测电极上的边界电压,然后根据一定的重建算法重构出目标内部电阻率分布图像或电阻率变化的分布图像,前者称为静态EIT,后者称为动态EIT。静态EIT依据一帧数据重构被测目标内部电阻率的分布图像,是一种病态性较严重的成像方法,易受噪声的影响而难以获得质量较好的图像,因而实用性差。但实践对于基于一帧数据获得被测目标内部电阻率分布图像的需求一直存在。动态EIT采用差分成像方法,将两帧实测数据做差后进行图像重建,可以降低噪声的影响,因而能实时动态地反映被测目标内部电阻率的变化。中国专利申请(专利号:ZL 03134598.0),公开了名称为一种用于床旁图像监护的电阻抗断层成像方法及装置,对动态EIT技术方案进行了详细披露。但动态EIT必须对两帧数据进行差分才能成像,不能用一帧数据反映目标内部电阻率的分布。因此,需要一种自构造背景帧的电阻抗断层成像方法,以实现用一帧原始数据重建目标内部电阻率分布的图像。Electrical impedance tomography applies a certain AC current on the surface of a certain fault of the target to be measured, and measures the boundary voltage on the corresponding detection electrode, and then reconstructs the target internal resistivity distribution image or the distribution of resistivity change according to a certain reconstruction algorithm. image, the former is called static EIT, and the latter is called dynamic EIT. Static EIT reconstructs the distribution image of the internal resistivity of the measured target based on a frame of data. It is a more pathological imaging method. It is easily affected by noise and it is difficult to obtain a good quality image, so it has poor practicability. However, there has always been a need in practice to obtain an image of the internal resistivity distribution of the measured target based on one frame of data. Dynamic EIT adopts the differential imaging method to reconstruct the image after making difference between two frames of measured data, which can reduce the influence of noise, so it can dynamically reflect the change of the internal resistivity of the measured target in real time. A Chinese patent application (patent number: ZL 03134598.0) discloses an electrical impedance tomography method and device for bedside image monitoring, and discloses the dynamic EIT technical solution in detail. However, the dynamic EIT can only be imaged by making a difference between two frames of data, and cannot use one frame of data to reflect the distribution of the internal resistivity of the target. Therefore, a self-constructed background frame electrical impedance tomography method is needed to reconstruct the image of the internal resistivity distribution of the target with one frame of raw data.
发明内容Contents of the invention
针对使用一帧实测数据进行电阻抗断层成像的实践需求,本发明的目的在于,提供一种自构造背景帧的电阻抗断层成像方法,该方法可以重构目标内部电阻率分布的图像。In view of the practical requirement of using a frame of measured data for electrical impedance tomography, the purpose of the present invention is to provide an electrical impedance tomography method for self-constructing background frames, which can reconstruct the image of the internal resistivity distribution of the target.
为了实现上述任务,本发明采取如下技术解决方案:In order to achieve the above tasks, the present invention takes the following technical solutions:
一种自构造背景帧的电阻抗断层成像方法,其特征在于,该方法将来自目标上均匀分布的电极采集的一帧EIT原始数据导入背景帧构造系统中,在背景帧构造系统中基于EIT原始数据对称性映射过程构造并输出一帧背景帧,通过差分EIT成像将EIT原始数据和基于该数据构造的背景帧的差值作为已知量,通过求解推算目标内部电阻率的分布,最后输出EIT图像;An electrical impedance tomography method for self-constructing background frames, characterized in that the method imports a frame of EIT raw data collected from uniformly distributed electrodes on the target into the background frame construction system, and in the background frame construction system based on the original EIT The data symmetry mapping process constructs and outputs a frame of background frame, and takes the difference between the original EIT data and the background frame constructed based on the data as a known quantity through differential EIT imaging, calculates the distribution of the internal resistivity of the target by solving, and finally outputs EIT image;
所述的背景帧构造系统是一个软件系统,它包括EIT原始数据导入、原始数据对称性映射矩阵的构建、原始数据对称性映射、背景帧的构造和背景帧的输出;其中:Described background frame construction system is a software system, and it comprises EIT raw data import, the construction of raw data symmetry mapping matrix, raw data symmetry mapping, the construction of background frame and the output of background frame; Wherein:
所述的EIT原始数据的导入是将EIT硬件系统采集的一帧原始数据导入到背景帧构造系统,并对EIT原始数据进行编号和存储;The import of described EIT raw data is to import a frame of raw data collected by the EIT hardware system into the background frame construction system, and number and store the EIT raw data;
所述的原始数据对称性映射矩阵是存储一帧EIT原始数据测量位置的矩阵,具有2行和N列元素,第一行存放测量位置在具有对称结构的目标右侧的原始数据的编号,第二行存放测量位置在具有对称结构的目标左侧的原始数据的编号,同一列两个元素是具有对称测量位置的EIT原始数据的编号;The original data symmetry mapping matrix is a matrix that stores the measurement position of a frame of EIT original data, and has 2 rows and N columns of elements, the first row stores the number of the original data whose measurement position is on the right side of the target with a symmetrical structure, and the second row The second line stores the number of the original data whose measurement position is on the left side of the target with a symmetrical structure, and the two elements in the same column are the numbers of the EIT original data with a symmetrical measurement position;
所述的EIT原始数据对称性映射过程是,将一帧EIT原始数据的所有元素按照原始数据对称性映射矩阵排列成2×N的矩阵,并将第一行或第二行的元素复制到另外一行;The described EIT original data symmetry mapping process is to arrange all the elements of a frame of EIT original data into a 2×N matrix according to the original data symmetry mapping matrix, and copy the elements of the first row or the second row to another one line;
所述的背景帧的构造是将经过对称性映射后的数据按照对称性映射矩阵中原始数据的编号构造一帧完整的原始数据作为背景帧;The structure of the background frame is to construct a frame of complete original data as the background frame according to the numbering of the original data in the symmetrical mapping matrix after the symmetrically mapped data;
所述的背景帧的输出是将构造出的背景帧以EIT差分成像所需要的文件格式输出。The output of the background frame is to output the constructed background frame in the file format required by EIT differential imaging.
所述的对称测量位置是目标左右侧对称的测量位置。The symmetrical measurement position is a symmetrical measurement position on the left and right sides of the target.
所述的测量位置是获得一个原始数据的两个电极的位置。The measurement position is the position of two electrodes for obtaining a raw data.
本发明的方法可以实现用一帧EIT原始数据重构目标内部电阻率分布图像。The method of the present invention can realize reconstruction of target internal resistivity distribution image with one frame of EIT raw data.
附图说明Description of drawings
图1是本发明的方法流程图。Fig. 1 is a flow chart of the method of the present invention.
图2是实施例的流程图。Figure 2 is a flowchart of an embodiment.
图3是实施例的目标及电极分布示意图。Fig. 3 is a schematic diagram of the target and electrode distribution of the embodiment.
图4是实施例的部分对称测量位置示意图。Fig. 4 is a schematic diagram of a partial symmetrical measurement position of the embodiment.
图5是实施例重建出的近似椭圆目标的电阻率分布图。Fig. 5 is a resistivity distribution diagram of an approximate ellipse target reconstructed by the embodiment.
具体实施方式Detailed ways
首先需要说明的是,以下的实施例仅用于本领域的技术人员进一步理解本发明,本发明并不限于该实施例,凡是由本领域技术人员根据发明的技术方案做出的等效替换和增加,同样属于本发明保护的范围。First of all, it should be noted that the following examples are only for those skilled in the art to further understand the present invention, the present invention is not limited to this example, all equivalent replacements and additions made by those skilled in the art according to the technical solution of the invention , also belong to the protection scope of the present invention.
参见图1,本实施例给出一种自构造背景帧的电阻抗断层成像方法,将来自目标上均匀分布的电极采集的一帧EIT原始数据导入背景帧构造系统中,在背景帧构造系统中基于EIT原始数据对称性映射过程构造并输出一帧背景帧,通过差分EIT成像将EIT原始数据和基于该数据构造的背景帧的差值作为已知量,通过求解推算目标内部电阻率的分布,最后输出EIT图像;Referring to Fig. 1, this embodiment provides a self-constructed background frame electrical impedance tomography method, a frame of EIT raw data collected from uniformly distributed electrodes on the target is imported into the background frame construction system, and in the background frame construction system Construct and output a frame of background frame based on the symmetry mapping process of EIT original data, and use the difference between EIT original data and the background frame constructed based on this data as a known quantity through differential EIT imaging, and calculate the distribution of the internal resistivity of the target by solving, Finally output the EIT image;
该方法的核心是基于EIT原始数据对称性映射过程构造背景帧,本实施例中,通过背景帧构造系统实现。背景帧构造系统是一个软件系统,其功能是利用一帧EIT原始数据构造背景帧并输出。它包括EIT原始数据导入、原始数据对称性映射矩阵的构建、原始数据对称性映射、背景帧的构造和背景帧的输出。The core of the method is to construct the background frame based on the symmetry mapping process of the EIT raw data, which is realized by the background frame construction system in this embodiment. The background frame construction system is a software system whose function is to use a frame of EIT raw data to construct a background frame and output it. It includes EIT raw data import, construction of raw data symmetry mapping matrix, raw data symmetry mapping, background frame construction and background frame output.
其中,EIT原始数据的导入用于将EIT硬件系统采集的一帧原始数据导入到背景帧构造系统,并对EIT原始数据进行编号和存储。Among them, the import of EIT raw data is used to import a frame of raw data collected by the EIT hardware system to the background frame construction system, and to number and store the EIT raw data.
原始数据对称性映射矩阵是存储一帧EIT原始数据测量位置的矩阵,具有2行和N列元素,第一行存放测量位置在目标右侧的原始数据的编号,第二行存放测量位置在目标左侧的原始数据的编号,同一列两个元素是具有对称测量位置的EIT原始数据的编号。The raw data symmetry mapping matrix is a matrix that stores the measurement position of a frame of EIT raw data. It has 2 rows and N columns of elements. The first row stores the number of the original data whose measurement position is on the right side of the target, and the second row stores the measurement position at the target The number of the raw data on the left, the two elements in the same column are the numbers of the EIT raw data with symmetrical measurement positions.
目标是具有对称结构的目标。A target is a target with a symmetrical structure.
测量位置是获得一个原始数据的两个电极的位置。The measurement position is the position of the two electrodes from which a raw data is obtained.
对称测量位置是目标左右侧对称的测量位置。The symmetrical measurement position is a measurement position where the left and right sides of the target are symmetrical.
EIT原始数据对称性映射是,将一帧EIT原始数据的所有元素按照原始数据对称性映射矩阵排列成2×N的矩阵,并将第一行或第二行的元素复制到另外一行。EIT original data symmetry mapping is to arrange all elements of a frame of EIT original data into a 2×N matrix according to the original data symmetry mapping matrix, and copy the elements of the first row or the second row to another row.
背景帧的构造是将经过对称性映射后的数据按照对称性映射矩阵中原始数据的编号构造一帧完整的原始数据作为背景帧。The construction of the background frame is to use the symmetrically mapped data to construct a complete frame of original data as the background frame according to the number of the original data in the symmetrical mapping matrix.
背景帧的输出是将构造出的背景帧以EIT差分成像所需要的文件格式输出。The output of the background frame is to output the constructed background frame in the file format required by EIT differential imaging.
差分EIT成像是用EIT原始数据和基于该数据构造的背景帧的差值作为已知量,通过求解推算目标内部电阻率的分布。Differential EIT imaging uses the difference between the original EIT data and the background frame constructed based on the data as a known quantity, and calculates the distribution of the internal resistivity of the target by solving.
本实施例用16电极EIT系统实测的一帧原始数据构造背景帧并进行差分成像,如图2所示。在此实施例中,采用近似椭球的对称物体作为目标,其二维断面如图3所示。16个EIT电极编号为0~15,其中的电极4和电极12位于目标的对称轴上,其它14个电极对称地分布于目标两侧。EIT系统按照对向激励-邻近测量模式产生的一帧EIT原始数据,包含192个double类型的边界电压。In this embodiment, a frame of raw data measured by a 16-electrode EIT system is used to construct a background frame and perform differential imaging, as shown in FIG. 2 . In this embodiment, a symmetrical object approximately ellipsoidal is used as the target, and its two-dimensional section is shown in FIG. 3 . The 16 EIT electrodes are numbered from 0 to 15, among which
在本实施例中,背景帧构造系统是一个借助于第三方编程环境建立起来的一个软件系统,其功能如图2虚线框内区域所示。在该系统中,数据被导入后以变量的形式被调用和存储。In this embodiment, the background frame construction system is a software system established by means of a third-party programming environment, and its functions are shown in the area inside the dotted line box in FIG. 2 . In this system, after data is imported, it is called and stored in the form of variables.
在本实施例中,EIT原始数据导入程序按照边界电压产生的顺序将每一个边界电压导入到背景帧构造系统,导入完毕后将它们编号1~192。最后将编号和对应的边界电压存储于2×192的矩阵M1中。矩阵M1的第一行存储边界电压的编号,第二行存储与编号相应的边界电压。In this embodiment, the EIT raw data import program imports each border voltage into the background frame construction system according to the order in which the border voltages are generated, and numbers them from 1 to 192 after importing. Finally, the number and the corresponding boundary voltage are stored in the 2×192 matrix M1. The first row of the matrix M1 stores the number of the boundary voltage, and the second row stores the boundary voltage corresponding to the number.
在EIT对向激励-邻近测量模式中,除激励电极外,相邻的两个测量构成一个测量位置。对称测量位置是目标左右侧对称的测量位置。本实施例中部分对称测量位置如图4所示。在目标前后施加激励信号时,如在电极4和电极12施加激励电流I时,如图4(a)所示,测量位置用大写英文U和数字标记出来,如:电极5和电极6之间的测量位置标记为U66;对称测量位置用(*同样的数字)来标记,如:对称测量位置U66和U79分别标记为U66(*1)和U79(*1)。在对称电极上施加激励信号时,如在电极3和电极11施加激励电流I时与在电极5和电极13施加同样的激励电流时,如图4(b)所示,也存在这样的对称测量位置,如:在电极3和电极11施加激励电流I时电极4和电极5组成的测量位置U50和在电极5和电极13施加激励电流I时电极4和电极3组成的测量位置U95就是一对对称测量位置。在此条件下,一对对称测量位置用(*相同数字)或(**相同数字)来标记。在其它对称电极上分别施加激励电流I,可得相应的对称测量位置。In the EIT opposite excitation-adjacent measurement mode, except for the excitation electrode, two adjacent measurements constitute a measurement position. The symmetrical measurement position is a measurement position where the left and right sides of the target are symmetrical. Partially symmetrical measurement positions in this embodiment are shown in FIG. 4 . When the excitation signal is applied before and after the target, such as when the excitation current I is applied between
在本实施例中,构造原始数据对称性映射矩阵是建立一个2×96的矩阵M2,使其第一行存放目标右侧96个EIT边界电压的编号,第二行存放目标左侧96个EIT边界电压的编号,并保证同一列两个编号对应的边界电压是在对称测量位置上获得的。EIT原始数据对称性映射过程是,按照矩阵M2中的边界电压编号将矩阵M1中的192个边界电压存储在2×96的矩阵M3中,并将M3的第一行或第二行的元素复制到另外一行得到矩阵M4。接下来是基于矩阵M4构造背景帧,主要是指将2×96的矩阵M4中的每一个元素按照M2中对应的编号a转存到1×192的矩阵M5中的第a个位置。矩阵M5的192个边界电压组成一个完整的背景帧。背景帧构造完毕后,将其改造成重建算法能接受的文件格式输出。本实施例采用的EIT差分成像方法,不是基于两帧原始数据的差分成像,而是用一帧原始数据帧和基于该原始数据构造的背景帧的差值推算目标内部电阻率分布。最后,将重建出的电阻率分布图像在计算机显示器上显示出来,如图5所示。In this embodiment, constructing the original data symmetry mapping matrix is to establish a 2×96 matrix M2, so that the first row stores the numbers of the 96 EIT boundary voltages on the right side of the target, and the second row stores the 96 EITs on the left side of the target The number of the boundary voltage, and ensure that the boundary voltage corresponding to the two numbers in the same column is obtained at the symmetrical measurement position. The symmetry mapping process of EIT raw data is to store 192 boundary voltages in matrix M1 in 2×96 matrix M3 according to the boundary voltage numbers in matrix M2, and copy the elements of the first or second row of M3 Go to another line to get matrix M4. The next step is to construct a background frame based on the matrix M4, which mainly refers to transferring each element in the 2×96 matrix M4 to the ath position in the 1×192 matrix M5 according to the corresponding number a in M2. The 192 boundary voltages of matrix M5 form a complete background frame. After the background frame is constructed, it is transformed into a file format acceptable to the reconstruction algorithm for output. The EIT differential imaging method used in this embodiment is not based on differential imaging of two frames of raw data, but uses the difference between one frame of raw data and a background frame constructed based on the raw data to estimate the internal resistivity distribution of the target. Finally, the reconstructed resistivity distribution image is displayed on a computer monitor, as shown in FIG. 5 .
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CN111029783A (en) * | 2019-12-13 | 2020-04-17 | 天津大学 | Polarization-independent electromagnetic induction-like transparent metamaterials |
CN113116333A (en) * | 2021-04-13 | 2021-07-16 | 杭州永川科技有限公司 | Method and system for detecting brain impedance distribution difference data |
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