Three-dimensional medical electrical impedance tomography algorithm

Abstract

The invention discloses a three-dimensional medical electrical impedance imaging algorithm. According to the method, medical electrical impedance imaging is converted into inverse problem solving. According to a three-dimensional finite part model of a living body, a linear function of design variables and conductivity is established, and an optimization model of three-dimensional medical electrical impedance imaging is established by taking the square of a response residual error of an electrostatic field formed after the living body is stimulated by a safety current and an electrostatic field of the finite part model as a target function. And deriving the sensitivity of the target function by adopting an adjoint sensitivity method, updating iterative information by taking the sensitivity as a design variable, and carrying out electrical impedance iterative imaging until convergence. The three-dimensional medical electrical impedance imaging algorithm disclosed by the invention has a rigorous mathematical theory, facilitates calculation of optimization iteration information of an electrical impedance imaging inverse problem, does not need priori information, and can realize medical electrical impedance imaging of a three-dimensional organism model.

Description

Technical field [0001] The invention belongs to the field of medical imaging, and more particularly to a three-dimensional medical impedance imaging algorithm. Background technique [0002] Electrical resistance imaging techniques have physical properties of different conductivity depending on the different tissues in the biological body, by implanting the safety current, measuring the surface potential of the organism, and reconstruct the resistivity image inside the organism. Many diseases such as brain diseases, breast diseases, pulmonary diseases, etc., can cause changes in electrical conductivity in organizers in biology. Electrical impedance imaging techniques can reflect changes in the conductivity of organizers in the organism, and have a wide range of application in the field of detection and monitoring areas of the above disease. [0003] In the electrical impedance imaging system, high-precision, high resolution, and fast convergence imaging algorithms are one of the r...

AI Technical Summary

Problems solved by technology

The existing electrical impedance imaging algorithm generally converts the imaging problem into an inverse problem solution, which requires iterative calculation and solution, involving Jacobian matrix calculation, matrix inversion, etc., and there is a problem that the amount of calculation is too large

In addition, a large number of electrical impedance imaging algorithms are based on two-dimensional models. Although the complexity of the model and the amount of calculation are reduced, there are more three-dimensional models in actual engineering, and two-dimensional models are prone to loss of imaging accuracy.

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