Electrical capacitance tomography image reconstruction method based on dimension reduction processing

Abstract

The invention relates to the technical field of process tomography, in particular to an electrical capacitance tomography image reconstruction method based on dimension reduction processing, which comprises the following steps of: calculating a reconstruction gray vector describing medium distribution by using a Tikhonov regularization algorithm according to a sensitivity matrix and a normalized capacitance value vector; extracting an index vector corresponding to a middle non-zero gray value; extracting a corresponding column of the index vector to form a dimensionality-reduced sensitivity matrix; adopting a Tikhonov regularization algorithm to calculate a dimension-reduced gray scale vector according to the sum; and mapping to a corresponding position to obtain a gray vector closer to real medium distribution. According to the method, the discomfort of an inverse problem is relieved through dimension reduction processing, the quality of a reconstructed image can be remarkably improved, reconstructed medium distribution is closer to real distribution, and the method has the advantages of being easy to program, high in speed and the like.

Description

technical field [0001] The invention relates to the technical field of process tomography, in particular to an image reconstruction method of electrical capacitance tomography. Background technique [0002] Electrical capacitance tomography is a process tomography technique based on the capacitive sensing mechanism. This technology realizes the non-contact imaging of the distribution of media with different dielectric constants by measuring the capacitance value between the plates and appropriate image reconstruction algorithms. This technology has been applied in many fields such as fluidized bed, pneumatic transportation, oil and gas transportation, combustion, and visualization of water migration process in permafrost. Its main advantages are non-invasive measurement, low cost, and good safety. [0003] The image reconstruction of electrical capacitance tomography usually calculates the normalized permittivity vector describing the medium distribution, also known as the...

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Problems solved by technology

[0006] In order to improve the image reconstruction quality of electrical capacitance tomography, the present invention proposes an image reconstruction method based on dimensionality reduction processing, the purpose of which is to solve the problem of how to solve the problem under the condition of neither increasing the number of capacitance measurement values ​​nor reducing the number of pixels contained in the reconstructed image. , the problem of mitigating the ill-posedness of the electrical capacitance tomography inverse problem

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