A sharp edge-preserving electrical resistance tomography image reconstruction method

A resistance tomography, edge preservation technology, applied in image data processing, 2D image generation, instruments, etc., can solve the problem of reducing the sharp edge effect of the total variational regularization algorithm to reconstruct the image quality, etc., to overcome the edge too smooth effects, effects that improve applicability and ease of use, effects that improve accuracy and speed

Active Publication Date: 2019-06-25
HENAN NORMAL UNIV
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Problems solved by technology

[0003]Due to the existence of the ladder effect, the sharp edge effect of the full variation regularization algorithm and the quality of the reconstructed image are reduced. In order to improve the quality of the recons...

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  • A sharp edge-preserving electrical resistance tomography image reconstruction method
  • A sharp edge-preserving electrical resistance tomography image reconstruction method
  • A sharp edge-preserving electrical resistance tomography image reconstruction method

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[0025] A sharp-edge-preserving electrical resistance tomography image reconstruction method of the present invention is described in detail with reference to the accompanying drawings.

[0026] A sharp edge-preserving electrical resistance tomography image reconstruction method of the present invention aims at the problems of blurred edges and low image reconstruction quality of traditional full variation regularization image reconstruction, and uses a weighting matrix to convert L1 data fidelity items into L2 data fidelity item. The improved generalized cross-validation method is used to objectively determine the optimal regularization parameters. By automatically selecting the threshold in the weighting matrix and setting a constraint factor to constrain the solution, the stability of the solution is effectively guaranteed. Finally, it is completed by combining the Gauss-Newton iterative method. The final inverse problem solving.

[0027] like figure 1 Shown is a flow char...

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Abstract

The invention discloses a sharp edge preserving resistance tomography image reconstruction method. The method comprises the steps of obtaining a relative boundary measurement value vector and a sensitivity matrix required by reconstruction according to a measured field domain; Setting initialization parameters; Determining an optimal regularization parameter by using an improved GCV method; Calculating a gradient and a Hessian matrix of the objective function; Updating the value of the solution by using a Gauss-Newton iteration method; Judging whether iteration is finished or not; And performing imaging according to the finally solved imaging gray value. According to the method, the defects that the edge of a reconstructed image is fuzzy and the image resolution is low in a traditional Tikhonov regularization algorithm and a total variation regularization algorithm are overcome, and the method has a good effect on improving the quality of an electrical tomography reconstructed image and keeping the keeping capability of a sharp edge.

Description

technical field [0001] The invention belongs to the technical field of electrical tomography, and in particular relates to a sharp edge-preserving electric resistance tomography image reconstruction method. Background technique [0002] Electrical Tomography (ET) appeared in the late 1980s. It is a process tomography technology based on the sensitive mechanism of electrical characteristics. The mathematical model corresponding to the image reconstruction problem belongs to the field of inverse problem solving. The image reconstruction process It is the solution process of the inverse problem. In view of the serious ill-conditionedness in the solution of the inverse problem, it is necessary to constrain the solution by selecting an appropriate regularization method. The idea of ​​the regularization method is to find a stable solution set constrained by prior information to approximate the real solution. Different selection of prior information and different forms of regular...

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Application Information

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IPC IPC(8): G06T11/00
Inventor 施艳艳王萌饶祖广刘伟娜
Owner HENAN NORMAL UNIV
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