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X ray energy spectrum estimation method based on rational fraction fitting multi-energy projection curve

A technology of rational fraction and projection curve, applied in X-ray energy spectrum estimation based on rational fraction fitting multi-energy projection curve, X-ray energy spectrum estimation field, which can solve the problem of heavy workload, large amount of measurement data, and reduced energy spectrum. Estimate workload and other issues to achieve the effect of reducing workload and reducing the number of needs

Active Publication Date: 2018-05-18
俐玛光电科技(北京)有限公司
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0006] The purpose of the present invention is to overcome the problems of large amount of measurement data and heavy workload in the prior art, and provide a method for estimating X-ray energy spectrum based on rational fraction fitting multi-energy projection curves. The method is firstly used by measurement data Rational fraction fits the multi-energy projection curve; then samples the multi-energy projection curve, and thus constructs a linear equation system for estimating the X-ray energy spectrum; finally solves the equation system to estimate the X-ray energy spectrum; this method can significantly Reduce the demand for the number of measurement data and reduce the workload of energy spectrum estimation

Method used

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  • X ray energy spectrum estimation method based on rational fraction fitting multi-energy projection curve

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Embodiment 1

[0030] A method for estimating X-ray energy spectrum based on rational fraction fitting multi-energy projection curve, the steps are as follows:

[0031] (1) Set the voltage of the X-ray machine to N kV, scan M groups of phantoms with different thicknesses, and obtain measurement data (H j ,p j ), j=1,...,M, where j is the measurement data index;

[0032] ⑵Using the quadratic rational fraction to fit the multi-energy projection curve P(H) from the measured data;

[0033] (3) Intensive sampling on the above-mentioned multi-energy projection curve P(H) to obtain sampling data (H k ,p k ),k=1,2,...,M * , where k is the sampling data index;

[0034] ⑷Using sampling data (H k ,p k ),k=1,2,...,M * , construct a system of linear equations, and solve them to obtain the X-ray energy spectrum.

Embodiment 2

[0036] A method for estimating X-ray energy spectrum based on rational fraction fitting multi-energy projection curve, the steps are as follows:

[0037] (1) Set the voltage of the X-ray machine to N kV, scan M groups of phantoms with different thicknesses, and obtain measurement data (H j ,p j ), j=1,...,M, where j is the measurement data index;

[0038] ⑵Using the quadratic rational fraction to fit the multi-energy projection curve P(H) from the measured data;

[0039] Among them, the expression of the quadratic rational fraction is as follows:

[0040]

[0041] where (α 1 ,α 2 ,α 3 ) is an undetermined coefficient.

[0042] (3) Intensive sampling on the above-mentioned multi-energy projection curve P(H) to obtain sampling data (H k ,p k ),k=1,2,...,M * , where k is the sampling data index;

[0043] Wherein the number of sampled data is greater than the number of measured data in step (1), i.e. M * >M;

[0044] ⑷Using sampling data (H k ,p k ),k=1,2,...,M *...

Embodiment 3

[0050] In order to better reflect the advantages of an X-ray energy spectrum estimation method based on rational fraction fitting multi-energy projection curves of the present invention in reducing the demand for measurement data, the algorithm described in the present invention and the existing one will be combined with a specific embodiment below. Existing typical algorithm EM for comparison.

[0051] The method process of the present invention is as figure 1 As shown, the specific steps are as follows:

[0052] 1. Set the voltage of the X-ray machine to N kV, scan M groups of phantoms with different thicknesses, and obtain measurement data (H j ,p j ), j=1,..., M, the specific implementation method is as follows:

[0053]Use the open source software Spectrum GUI to simulate the energy spectrum of the GE Maxiray 125 tube passing through the 0mm and 1mm Cu filters at 140kV, and normalize the energy spectrum. The energy spectrum with a 1mm filter added is the energy spectr...

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Abstract

The invention discloses an X ray energy spectrum estimation method based on a rational fraction fitting multi-energy projection curve. The method comprises the following steps: (1) arranging X ray machine voltage NkV and scanning M groups of mould bodies with different thicknesses to obtain measurement data (Hj,pj), wherein the j is equal to 1, . . . ,M; (2) utilizing a secondary rational fractionto fit a multi-energy projection curve P (H) by measurement data; (3) densely sampling on the multi-energy projection curve to obtain sampling data (Hk,pk), wherein the k is equal to 1,2, . . .,M*; (4) utilizing the sampling data (Hk,pk) to construct a system of linear equations and resolving to obtain an X ray energy spectrum, wherein the k is equal to 1,2, . . .,M*. As the secondary rational fraction has smaller parameters, the high-accuracy multi-energy projection curve can be fitted out by a little measurement data. Therefore, the method disclosed by the invention has the advantages thatthe number of the measurement data required by the energy spectrum estimation can be obviously reduced and energy spectrum estimation work load can be effectively reduced.

Description

technical field [0001] The invention belongs to the technical field of X-ray CT imaging, and relates to an X-ray energy spectrum estimation method, in particular to an X-ray energy spectrum estimation method based on rational fraction fitting multi-energy projection curves. Background technique [0002] The accuracy of X-ray CT imaging depends on the accuracy of modeling the interaction between X-rays and matter, in which X-ray energy spectrum is an important factor, especially in dual-energy spectrum CT image reconstruction, CT image hardening correction, and quantification of CT images. It plays an important role in applications such as analysis. [0003] For the X-ray CT system, due to the strong ray flux generated by the X-ray machine, it is difficult to directly measure the X-ray energy spectrum with equipment such as a spectrometer. A more common method is to indirectly estimate the energy spectrum by using the measurement data of X-rays passing through known phantoms...

Claims

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Application Information

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IPC IPC(8): G01N23/046
CPCG01N23/046
Inventor 赵云松罗婷赵星
Owner 俐玛光电科技(北京)有限公司
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