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Method for determining emission tomography weight matrix based on bilinear interpolation principle

A bilinear interpolation, weight matrix technology, applied in image data processing, instrumentation, calculation, etc., can solve problems such as low accuracy and efficiency, complex algorithm, etc., to achieve high accuracy, high computational efficiency, and rapid acquisition.

Active Publication Date: 2019-11-01
XIAN TECHNOLOGICAL UNIV
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Problems solved by technology

[0006] In view of the above problems, the present invention relates to a method for determining the transmission tomography weight matrix based on the principle of bilinear interpolation, which solves the problem of complex algorithms in the prior art and the accuracy and low efficiency

Method used

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  • Method for determining emission tomography weight matrix based on bilinear interpolation principle
  • Method for determining emission tomography weight matrix based on bilinear interpolation principle
  • Method for determining emission tomography weight matrix based on bilinear interpolation principle

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Embodiment

[0066] The traditional two-dimensional planar Radon transform is a special case of two-dimensional Radon transform in three-dimensional space. The method and effect of the present invention are described by taking the two-dimensional plane Radon transformation as an example.

[0067] The coordinate system of the two-dimensional planar Radon transformation projection is defined as figure 2 shown. When the nutation angle ψ=0 and the precession angle θ=0, the detection plane is perpendicular to the horizontal plane and located around the measured object, and the projection value of each row of pixels on the detection plane is the projection result on the same two-dimensional horizontal plane. According to formula (2), the rotation matrix at this time can be obtained as

[0068]

[0069] and the projection expression is

[0070]

[0071] According to the properties of the Dirac function, the above formula can be written as

[0072]

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Abstract

The invention relates to a method for determining an emission tomography weight matrix based on a bilinear interpolation principle. The method comprises the following steps: firstly, obtaining a three-dimensional projection model of emission tomography; discretizing and expressing projection integrals; and finally, determining a weight matrix of the chromatography system by utilizing a bilinear interpolation principle. According to the method, a three-dimensional space two-dimensional Radon transformation model used for accurately describing emission tomography projection is obtained, and a theoretical basis is provided for three-dimensional tomography reconstruction; the principle of determining the weight matrix based on the bilinear interpolation principle is simple, the calculation efficiency is high, and the weight matrix numerical value can be quickly obtained; the calculation result is high in accuracy, interference caused by discretization in the calculation process can be reduced, and the accuracy of the calculation result is greatly improved; and the method not only can be used for two-dimensional Radon transformation in a three-dimensional space, but also is suitable forweight matrix calculation in a traditional two-dimensional chromatography technology.

Description

technical field [0001] The invention belongs to the technical field of optical three-dimensional imaging and three-dimensional measurement of combustion field, and more specifically relates to a combustion field emission spectrum tomography reconstruction technology, and relates to a method for determining emission tomography weight matrix based on a bilinear interpolation principle. Background technique [0002] Computed Tomography (CT) is an important three-dimensional imaging method, whose theoretical basis is Radon transform, and has been widely used in medical diagnosis, industrial static and dynamic nondestructive testing, seismic wave and geological structure detection, etc. Among the various applications of computational tomography, combustion field emission tomography (Emission Spectrum Tomography, EST), referred to as emission tomography, is a new non-contact three-dimensional combustion Field diagnostic measurement techniques. This technology directly uses the CC...

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Application Information

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IPC IPC(8): G06T3/00
CPCG06T3/06
Inventor 王佳严静吴慎将聂亮张维光于洵
Owner XIAN TECHNOLOGICAL UNIV
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