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
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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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