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Regularized Reconstruction Method of Electrical Tomography Based on Variation Sum of Adjacent Points

A technology of electrical tomography and adjacent points, which is applied in the direction of 2D image generation, image generation, image data processing, etc., to achieve image robustness, clear boundaries between media, and improve noise resistance

Active Publication Date: 2019-08-13
TIANJIN UNIV
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Problems solved by technology

The present invention uses the sum of the absolute value differences (Total Differences of Neighbors, TDN) of the electrical characteristics of all adjacent pixels in the field as the regularization function, combined with the Newton-Raphson iterative method, and solves the problem that the L2 norm regularization is too smooth and the L1 Norm regularization resolves the problem of over-sparseness, improves the resistance to the inverse problem of electrical tomography and the quality of image reconstruction, and has better imaging quality for square objects

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  • Regularized Reconstruction Method of Electrical Tomography Based on Variation Sum of Adjacent Points
  • Regularized Reconstruction Method of Electrical Tomography Based on Variation Sum of Adjacent Points
  • Regularized Reconstruction Method of Electrical Tomography Based on Variation Sum of Adjacent Points

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[0029] A regularized reconstruction method of electrical tomography based on the variation sum of adjacent points of the present invention is described with reference to the accompanying drawings and examples.

[0030] The regularization method based on the variation sum of adjacent points of the present invention is based on L1 regularization, and adopts the sum of the absolute value differences (Total Differences of Neighbors, TDN) of the electrical characteristic quantities of all adjacent pixels in the field as the regularization The function, combined with the Newton-Raphson iterative method, completes the calculation and reconstructs the distribution of electrical characteristics.

[0031] like figure 1 Shown is a flow chart of a regularized reconstruction method for electrical tomography based on the variance sum of adjacent points of the present invention. like figure 2 The electrical impedance tomography system, one of the electrical tomography imaging systems, sho...

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Abstract

The invention relates to an electrical tomography regularization reconstruction method based on an adjacent point variation sum. The electrical tomography problem is regarded as a linear ill-posed problem, A is a sensitivity matrix, b is a relative boundary measured value vector, x is an imaging gray value vector corresponding to field domain substance electrical characteristic distribution and is called a solution vector, and the method is characterized in that the sum of absolute values of electrical characteristic quantity difference of all adjacent pixel points is used as a regularization function, and a Newton-Raphson iterative method is utilized to solve x, and calculation is completed to obtain a reconstructed image.

Description

technical field [0001] The invention belongs to the technical field of electrical tomography, and relates to a method for realizing image reconstruction by using an L1 regularization method. Background technique [0002] Electrical tomography (Electrical Tomography, ET) is a new process tomography technology based on the sensitive mechanism of electrical properties that emerged in the late 1980s. Its physical basis is that different media have different electrical properties ( Conductivity / dielectric coefficient / complex admittance / permeability), by judging the distribution of electrical properties of objects in the sensitive field, the distribution of the medium in the field can be inferred. Electrical tomography mainly includes electrical resistance tomography (Electrical Resistance Tomography, ERT), electrical capacitance tomography (Electrical Capacitance Tomography, ECT), electrical impedance tomography (Electrical Impedance Tomography, EIT) and electromagnetic tomograph...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06T11/00
CPCG06T11/005G06T2211/416
Inventor 许燕斌韩冰董峰
Owner TIANJIN UNIV
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