An improved l-curve electrical tomography reconstruction method based on curvature calculation

Abstract

The invention provides an improved L-curve electrical tomography reconstruction method based on curvature computing. The method is suitable for bubbly flow tomography, and includes the following steps that according to a tested scene domain, a relative boundary measured value vector b and a sensitivity matrix A which are required by reconstruction are obtained; by means of Tikhonov regularization, an L-curve is computed and drawn; whether local inflection points exist in the L-curve is judged; if the local inflection points do not exist, a regularization coefficient optimally selected is determined through an L-curve method; if the local inflection points exist, the regularization coefficient optimally selected is determined through an improved L-curve method, wherein the improved L-curve method includes the steps that the local inflection points of the curve are determined by calculating a second peak value of the curvature of the L-curve, regularization coefficients corresponding to the local inflection points serve as optimally selected coefficients, the optimally selected regularization coefficients are substituted into Tikhonov regularization for solving of an image reconstruction inverse problem, and imaging is carried out. The improved L-curve electrical tomography reconstruction method facilitates precise solving of an electrical tomography imaging inverse problem, and improves image reconstruction quality.

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 a Tikhonov regularization method. Background technique [0002] Multiphase flow plays a very important role in industrial production and scientific research. They often appear in industrial processes such as power, chemical industry, petroleum, nuclear energy, and metallurgical engineering. They involve safety and economic issues. people challenged. The flow patterns of multiphase flow in pipelines with different geometric and dynamic characteristics are called flow patterns, which can be qualitatively described by the shape of components or phases. The common flow patterns in two-phase flow include bubbly flow, elastic flow flow, annular flow, etc. [0003] Electrical tomography (Electrical Tomography, ET) is a new process tomography technology based on the sensitive mechanism of electrical properties that emerge...

AI Technical Summary

Problems solved by technology

[0010] The object of the present invention is to propose a kind of improved L-curve electrical tomography reconstruction method based on curvature calculation, method is based on L-curve, solves the coefficient that traditional L-curve method selects and carries out bubbly current electrical tomography in Tikhonov regularization Improving the solution accuracy and image reconstruction quality of the inverse problem of electrical tomography by solving the inapplicable problem when solving the inverse problem of imaging

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