CN107647866A - A kind of electrical impedance imaging method based on deflected secondary air - Google Patents

A kind of electrical impedance imaging method based on deflected secondary air Download PDF

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CN107647866A
CN107647866A CN201710854425.2A CN201710854425A CN107647866A CN 107647866 A CN107647866 A CN 107647866A CN 201710854425 A CN201710854425 A CN 201710854425A CN 107647866 A CN107647866 A CN 107647866A
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electrical impedance
secondary air
target area
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刘瑞兰
张夏婉
戎舟
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Nanjing Post and Telecommunication University
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    • A61B5/05Detecting, measuring or recording for diagnosis by means of electric currents or magnetic fields; Measuring using microwaves or radio waves
    • A61B5/053Measuring electrical impedance or conductance of a portion of the body
    • A61B5/0536Impedance imaging, e.g. by tomography
    • AHUMAN NECESSITIES
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    • A61B5/00Measuring for diagnostic purposes; Identification of persons
    • A61B5/72Signal processing specially adapted for physiological signals or for diagnostic purposes
    • AHUMAN NECESSITIES
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Abstract

本发明公开了一种基于偏最小二乘方法的电阻抗成像方法采用电阻抗成像方法,分别在空载和放置成像目标两种模式下进行电流激励,采集两种模式下测量的边界电压,通过求得的边界电压变化矩阵以及敏感矩阵信息,利用偏最小二乘方法计算出目标区域阻抗分布变化,从而实现电阻抗图像重建。本发明的方法修正了图像重构的结果,提高了电阻抗成像的成像质量。

The invention discloses an electrical impedance imaging method based on the partial least squares method. The electrical impedance imaging method is used to perform current excitation in two modes of no-load and imaging targets respectively, and collect boundary voltages measured in the two modes. The obtained boundary voltage change matrix and sensitive matrix information are used to calculate the impedance distribution change of the target area by using the partial least squares method, so as to realize the electrical impedance image reconstruction. The method of the invention corrects the result of image reconstruction and improves the imaging quality of electrical impedance imaging.

Description

一种基于偏最小二乘方法的电阻抗成像方法A Method of Electrical Impedance Imaging Based on Partial Least Squares Method

技术领域technical field

本发明涉及一种基于偏最小二乘方法的电阻抗成像方法,属于电阻抗成像技术领域。The invention relates to an electrical impedance imaging method based on a partial least square method, and belongs to the technical field of electrical impedance imaging.

背景技术Background technique

电阻抗成像(Electrical Impedance Tomography,EIT)技术是一种新型功能成像技术。电阻抗成像技术不使用核素或射线,对人体无害,可以成为对病人进行长期、连续监护而不给病人造成损伤或带来不适的医学监护设备。加之其设备成本低廉、不要求特殊的工作环境等,因而是一种理想、具有广泛应用前景的无损伤医学成像技术和图像监护技术。在20世纪末迅速成为研究热点。Electrical Impedance Tomography (EIT) technology is a new functional imaging technology. Electrical impedance imaging technology does not use nuclides or radiation, and is harmless to the human body. It can become a medical monitoring device for long-term and continuous monitoring of patients without causing damage or discomfort to patients. In addition, its equipment is low in cost and does not require a special working environment, etc., so it is an ideal non-invasive medical imaging technology and image monitoring technology with wide application prospects. It quickly became a research hotspot at the end of the 20th century.

如何实现系统的高精度、高分辨率和算法的快速收敛是目前EIT技术的主要问题。对电阻抗重构算法的研究显示:修正的牛顿-拉夫逊法具有重构误差小、收敛性好和对初值要求不高的优点,其缺点在于单步迭代时间长,存储空间要求很大,从而限制了其进入实际阻抗图像重构;等位线法是目前最快的一种阻抗重构算法,但由于其在理论推倒上的不严格性所得结果具有较大误差。How to realize the system's high precision, high resolution and fast convergence of the algorithm is the main problem of EIT technology at present. The research on the electrical impedance reconstruction algorithm shows that the modified Newton-Raphson method has the advantages of small reconstruction error, good convergence and low requirements on the initial value, but its disadvantages are long single-step iteration time and large storage space requirements , thus limiting its use in actual impedance image reconstruction; the equipotential line method is currently the fastest impedance reconstruction algorithm, but the results obtained due to its looseness in theoretical deduction have large errors.

发明内容Contents of the invention

本发明所要解决的技术问题是提供一种基于偏最小二乘方法的电阻抗成像方法,该方法能够对扰动目标进行有效成像。The technical problem to be solved by the present invention is to provide an electrical impedance imaging method based on the partial least square method, which can effectively image disturbance targets.

本发明为解决上述技术问题采用以下技术方案:The present invention adopts the following technical solutions for solving the problems of the technologies described above:

本发明提供一种基于偏最小二乘方法的电阻抗成像方法,具体步骤如下:The invention provides a method for electrical impedance imaging based on the partial least squares method, and the specific steps are as follows:

步骤1,分别在空载和放置目标两种模式下进行电流激励,并分别采集两种模式下测量的边界电压,得到目标区域阻抗变化所引起的边界电压变化矩阵;Step 1: Carry out current excitation in the two modes of no-load and placing the target respectively, and collect the boundary voltage measured in the two modes respectively, and obtain the boundary voltage change matrix caused by the impedance change of the target area;

步骤2,根据敏感性定理理论,对成像区域进行有限元剖分,求出有限元剖分单元对应的敏感矩阵;Step 2, according to the theory of sensitivity theorem, perform finite element subdivision on the imaging area, and obtain the sensitivity matrix corresponding to the finite element subdivision unit;

步骤3,根据步骤1得到的边界电压变化矩阵和步骤2得到的敏感矩阵求出目标区域阻抗分布变化矩阵;Step 3, according to the boundary voltage change matrix obtained in step 1 and the sensitivity matrix obtained in step 2, the impedance distribution change matrix of the target area is obtained;

步骤4,通过不同频率下的目标区域阻抗分布变化矩阵,重构出电阻抗成像图像。In step 4, the electrical impedance imaging image is reconstructed through the impedance distribution change matrix of the target area at different frequencies.

作为本发明的进一步优化方案,边界电压变化矩阵V=S·Δγ,其中,Δγ为目标区域阻抗分布变化矩阵,S为敏感矩阵。As a further optimization scheme of the present invention, the boundary voltage change matrix V=S·Δγ, where Δγ is the impedance distribution change matrix in the target area, and S is the sensitivity matrix.

作为本发明的进一步优化方案,步骤3中通过偏最小二乘方法求出目标区域阻抗分布变化矩阵。As a further optimization scheme of the present invention, in step 3, the impedance distribution change matrix of the target area is obtained by the partial least square method.

作为本发明的进一步优化方案,在通过偏最小二乘方法求出目标区域阻抗分布变化矩阵前,还需要分别对步骤1得到的边界电压变化矩阵和步骤2得到的敏感矩阵进行归一化处理。As a further optimization scheme of the present invention, before obtaining the impedance distribution change matrix in the target area by the partial least squares method, it is necessary to normalize the boundary voltage change matrix obtained in step 1 and the sensitivity matrix obtained in step 2 respectively.

作为本发明的进一步优化方案,步骤3中通过MATLAB自带的plsr.m函数进行求解。As a further optimization scheme of the present invention, in step 3, the plsr.m function that comes with MATLAB is used to solve the problem.

本发明采用以上技术方案与现有技术相比,具有以下技术效果:本发明的基于偏最小二乘方法的电阻抗成像方法采用电阻抗成像方法,分别在空载和放置成像目标两种模式下进行电流激励,采集两种模式下测量的边界电压,通过求得的边界电压变化矩阵以及敏感矩阵信息,利用偏最小二乘方法计算出目标区域阻抗分布变化,从而实现电阻抗图像重建。本发明的方法修正了图像重构的结果,提高了电阻抗成像的成像质量。Compared with the prior art, the present invention adopts the above technical scheme and has the following technical effects: the electrical impedance imaging method based on the partial least squares method of the present invention adopts the electrical impedance imaging method, and is respectively in two modes of no-load and placing imaging targets Perform current excitation, collect the boundary voltage measured in the two modes, and use the partial least squares method to calculate the impedance distribution change in the target area through the obtained boundary voltage change matrix and sensitivity matrix information, so as to realize electrical impedance image reconstruction. The method of the invention corrects the result of image reconstruction and improves the imaging quality of electrical impedance imaging.

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.

具体实施方式Detailed ways

下面详细描述本发明的实施方式,所述实施方式的示例在附图中示出。下面通过参考附图描述的实施方式是示例性的,仅用于解释本发明,而不能解释为对本发明的限制。Embodiments of the invention are described in detail below, examples of which are illustrated in the accompanying drawings. The embodiments described below by referring to the figures are exemplary only for explaining the present invention and should not be construed as limiting the present invention.

本技术领域技术人员可以理解的是,除非另外定义,这里使用的所有术语(包括技术术语和科学术语)具有与本发明所属领域中的普通技术人员的一般理解相同的意义。还应该理解的是,诸如通用字典中定义的那些术语应该被理解为具有与现有技术的上下文中的意义一致的意义,并且除非像这里一样定义,不会用理想化或过于正式的含义来解释。Those skilled in the art can understand that, unless otherwise defined, all terms (including technical terms and scientific terms) used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. It should also be understood that terms such as those defined in commonly used dictionaries should be understood to have a meaning consistent with the meaning in the context of the prior art, and will not be interpreted in an idealized or overly formal sense unless defined as herein Explanation.

下面结合附图对本发明的技术方案做进一步的详细说明:Below in conjunction with accompanying drawing, technical scheme of the present invention is described in further detail:

本发明公开了一种基于偏最小二乘方法的电阻抗成像方法,如图1所示,具体步骤如下:The invention discloses an electrical impedance imaging method based on the partial least squares method, as shown in Figure 1, the specific steps are as follows:

步骤1,分别在空载和放置目标两种模式下进行电流激励,并分别采集两种模式下测量的边界电压,得到目标区域阻抗变化所引起的边界电压变化矩阵V;Step 1: Carry out current excitation in the two modes of no-load and placing the target respectively, and collect the boundary voltage measured in the two modes respectively, and obtain the boundary voltage change matrix V caused by the impedance change of the target area;

步骤2,根据敏感性定理理论,对成像区域进行有限元剖分,求出有限元剖分单元对应的敏感矩阵S;Step 2, according to the theory of sensitivity theorem, perform finite element subdivision on the imaging area, and obtain the sensitivity matrix S corresponding to the finite element subdivision unit;

步骤3,根据步骤1得到的边界电压变化矩阵V和步骤2得到的敏感矩阵S,通过偏最小二乘方法求出目标区域阻抗分布变化矩阵Δγ;Step 3, according to the boundary voltage change matrix V obtained in step 1 and the sensitivity matrix S obtained in step 2, the impedance distribution change matrix Δγ in the target area is obtained by the partial least squares method;

步骤4,通过不同频率下的目标区域阻抗分布变化矩阵,重构出电阻抗成像图像。In step 4, the electrical impedance imaging image is reconstructed through the impedance distribution change matrix of the target area at different frequencies.

其中,边界电压变化矩阵V=S·Δγ。Among them, the boundary voltage change matrix V=S·Δγ.

其中,在使用偏最小二乘方法求解目标区域阻抗分布变化矩阵Δγ时,还需要首先对边界电压变化矩阵V和敏感矩阵S进行归一化处理,然后可以通过MATLAB自带plsr.m函数进行求解目标区域阻抗分布变化矩阵。Among them, when using the partial least squares method to solve the impedance distribution change matrix Δγ in the target area, it is necessary to first normalize the boundary voltage change matrix V and the sensitivity matrix S, and then use the plsr.m function that comes with MATLAB to solve the problem Impedance distribution change matrix in the target area.

以上所述,仅为本发明中的具体实施方式,但本发明的保护范围并不局限于此,任何熟悉该技术的人在本发明所揭露的技术范围内,可理解想到的变换或替换,都应涵盖在本发明的包含范围之内,因此,本发明的保护范围应该以权利要求书的保护范围为准。The above is only a specific implementation mode in the present invention, but the scope of protection of the present invention is not limited thereto. Anyone familiar with the technology can understand the conceivable transformation or replacement within the technical scope disclosed in the present invention. All should be covered within the scope of the present invention, therefore, the protection scope of the present invention should be based on the protection scope of the claims.

Claims (5)

1. a kind of electrical impedance imaging method based on deflected secondary air, it is characterised in that comprise the following steps that:
Step 1, current excitation is carried out under unloaded and drop target both of which respectively, and gathers measured under both of which respectively Boundary voltage, obtain the boundary voltage transformation matrices caused by the impedance variations of target area;
Step 2, it is theoretical according to sensitiveness theorem, finite element fission is carried out to imaging region, it is corresponding to obtain finite element fission unit Sensitive matrix;
Step 3, the sensitive matrix that the boundary voltage transformation matrices and step 2 obtained according to step 1 obtain obtains target area resistance Anti- changes in distribution matrix;
Step 4, by the target area distribution of impedance transformation matrices under different frequency, electrical impedance imaging image is reconstructed.
A kind of 2. electrical impedance imaging method based on deflected secondary air according to claim 1, it is characterised in that side Boundary's voltage change matrix V=S Δ γ, wherein, Δ γ is target area distribution of impedance transformation matrices, and S is sensitive matrix.
A kind of 3. electrical impedance imaging method based on deflected secondary air according to claim 1, it is characterised in that step Target area distribution of impedance transformation matrices are obtained by deflected secondary air in rapid 3.
4. according to claim 3 in a kind of described electrical impedance imaging method based on deflected secondary air, it is characterised in that Before target area distribution of impedance transformation matrices are obtained by deflected secondary air, it is also necessary to the side obtained respectively to step 1 The sensitive matrix that boundary's voltage change matrix and step 2 obtain is normalized.
A kind of 5. electrical impedance imaging method based on deflected secondary air according to claim 4, it is characterised in that step The plsr.m functions carried in rapid 3 by MATLAB are solved.
CN201710854425.2A 2017-09-20 2017-09-20 A kind of electrical impedance imaging method based on deflected secondary air Pending CN107647866A (en)

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CN109493395A (en) * 2018-10-31 2019-03-19 天津大学 Open electrical impedance tomography image rebuilding method based on conformal transformation
CN112200912A (en) * 2020-09-22 2021-01-08 深圳市丰盛生物科技有限公司 Brain imaging system and method based on electrical impedance imaging and electroencephalogram signals
CN114758031A (en) * 2022-06-15 2022-07-15 之江实验室 Method and device for reconstructing capacitive coupling electrical impedance tomography image

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CN101564294A (en) * 2009-06-01 2009-10-28 中国人民解放军第四军医大学 Method for structural information fused electrical impedance tomography
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* Cited by examiner, † Cited by third party
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CN109493395A (en) * 2018-10-31 2019-03-19 天津大学 Open electrical impedance tomography image rebuilding method based on conformal transformation
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