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CN113962922B - Tomographic imaging method and system based on planar array radiation source - Google Patents

Tomographic imaging method and system based on planar array radiation source Download PDF

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CN113962922B
CN113962922B CN202110797421.1A CN202110797421A CN113962922B CN 113962922 B CN113962922 B CN 113962922B CN 202110797421 A CN202110797421 A CN 202110797421A CN 113962922 B CN113962922 B CN 113962922B
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CN113962922A (en
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牟轩沁
段嘉毓
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Xian Jiaotong University
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Abstract

The invention discloses a tomographic imaging method and a tomographic imaging system based on a planar array radiation source. According to the invention, the emergent angle of the cold cathode flat-panel ray source is researched through simulation, the beam light efficiency is researched, the beam light device is used for restraining the divergent cold cathode flat-panel ray source, and the aliasing of measurement data is reduced while the dose is ensured; the radiation is encoded by a radiation source addressing control circuit. Decoupling the aliased measurement data by using correlation between projections through different irradiation modes; and solving an imaging object through a reconstruction system to realize tomographic imaging based on the planar array radiation source. The invention covers the imaging object by combining the light beams under the condition of ensuring the imaging dosage, decouples the aliasing data by utilizing different irradiation modes, and finally obtains the internal structure information of the object.

Description

一种基于平面阵列射线源的断层成像方法及系统A tomographic imaging method and system based on a planar array ray source

技术领域technical field

本发明属于断层层析成像领域,具体涉及一种基于平面阵列射线源的断层成像方法及系统。The invention belongs to the field of tomographic imaging, and in particular relates to a tomographic imaging method and system based on a plane array ray source.

背景技术Background technique

X射线由于其无损特性,广泛应用于工业,医疗等领域。传统的X光平面成像系统主要使用热阴极作为单焦点电子源,成像时需要调节射线源、探测器与待检测物体的相对位置来实现对感兴趣区域(ROI)的扫描,受X线球管发出X射线锥角大小的影响,球管与被探测物体之间的距离必须足够远,扫描时才能覆盖待检测区域,导致成像系统体积远大于待检测物体,需要较大的空间。在此情况下,受扫描物体的非感兴趣区域会增加受辐射风险。除此之外,传统光源中热电子发射具有时间延迟性,难以实现高时间分辨率以及可编程发射。Due to its non-destructive properties, X-rays are widely used in industrial, medical and other fields. The traditional X-ray planar imaging system mainly uses hot cathodes as the single-focus electron source. During imaging, it is necessary to adjust the relative positions of the ray source, the detector and the object to be detected to realize the scanning of the region of interest (ROI). Influenced by the size of the X-ray cone angle, the distance between the tube and the object to be detected must be far enough to cover the area to be detected during scanning, resulting in an imaging system that is much larger than the object to be detected and requires a larger space. In this case, areas of the scanned object that are not of interest increase the radiation risk. In addition, thermionic emission in traditional light sources has a time delay, which makes it difficult to achieve high time resolution and programmable emission.

区别于传统单光源X光平面成像,基于冷阴极技术的平面阵列射线源具有响应快,使用寿命长,编程可控的特点。除此之外,冷阴极平板射线源可在器件中集成上千个射线源,通过编程发光,每个光源覆盖成像物体的一部分,最终可完全覆盖成像物体的感兴趣区域,可实现高密度,低功率的成像系统设计,如图1所示,可极大程度上缩小成像系统体积,实现近距离成像,克服了传统射线源场地应用的限制,使得成像系统小型化,便携化。Different from the traditional single light source X-ray planar imaging, the planar array ray source based on cold cathode technology has the characteristics of fast response, long service life and programmable control. In addition, the cold cathode flat-panel ray source can integrate thousands of ray sources in the device, and emit light through programming. Each light source covers a part of the imaging object, and finally can completely cover the region of interest of the imaging object, which can achieve high density. The low-power imaging system design, as shown in Figure 1, can greatly reduce the volume of the imaging system to achieve close-range imaging, overcome the limitations of traditional ray source site applications, and make the imaging system miniaturized and portable.

目前冷阴极平板射线源单个像素的发光强度低于平板探测器的探测下限,尚不能实现单个像素成像。因此,需要部分源全部点源同时发光才能实现探测器响应。同时,冷阴极平板射线源的射束角度过于发散,导致探测器无法全部接收,使得光子利用率降低,受辐射剂量增加。At present, the luminous intensity of a single pixel of a cold-cathode flat-panel ray source is lower than the detection lower limit of a flat-panel detector, and single-pixel imaging cannot be realized yet. Therefore, some sources and all point sources need to emit light at the same time to achieve detector response. At the same time, the beam angle of the cold-cathode flat-panel ray source is too divergent, so that the detector cannot receive all of them, which reduces the photon utilization rate and increases the radiation dose.

在数据获取过程中,平板X线阵列光源成像由于多源点亮造成了测量数据混叠。不同于传统X线成像路径中衰减系数和测量值存在一一对应,该照射方式会造成测量数据细节模糊。During the data acquisition process, the imaging of the flat-panel X-ray array light source caused measurement data aliasing due to multi-source lighting. Different from the one-to-one correspondence between the attenuation coefficient and the measured value in the traditional X-ray imaging path, this irradiation method will cause the details of the measured data to be blurred.

发明内容Contents of the invention

本发明的目的在于克服上述不足,提供一种基于平面阵列射线源的断层成像方法及系统,该方法针对冷阴极平面阵列射线源成像系统设计,同时也适合其它可能存在的平面阵列X线源的成像系统,能够保证成像分辨率的情况下,实现近距离断层层析成像,获得物体内部信息。The object of the present invention is to overcome the above-mentioned deficiencies and provide a tomographic imaging method and system based on a planar array ray source. The method is designed for a cold cathode planar array ray source imaging system and is also suitable for other possible planar array X-ray sources. The imaging system can realize close-range tomographic imaging and obtain internal information of objects while ensuring imaging resolution.

为了达到上述目的,一种基于平面阵列射线源的断层成像方法,包括以下步骤:In order to achieve the above object, a tomographic imaging method based on a planar array ray source comprises the following steps:

S1,利用束光器对光束进行整形;S1, using a beamer to shape the beam;

S2,利用控制电路对射线源进行可寻址点亮;S2, using the control circuit to perform addressable lighting on the radiation source;

S3,利用重建系统最终获得物体内部结构信息。S3, using the reconstruction system to finally obtain the internal structure information of the object.

S1中,根据光子利用率角度设计束光器开口形状和角度,使得每个光源只覆盖成像目标的一部分,所有光源点亮将完全覆盖成像目标。In S1, the shape and angle of the beam aperture are designed according to the photon utilization angle, so that each light source only covers a part of the imaging target, and all light sources will completely cover the imaging target.

S2中,利用控制电路对射线源进行可寻址点亮,其中Pattern={P1,P2,...,Pi...,PN}为N个设计的照射方案序列,将特定照射情况Pi下点亮的平板X射线阵列的数量表示为Si,将探测器单元的数量表示为D,在特定照射下,探测器d上的测量数据记作Id,Pi,理想的采集过程表示为:In S2, use the control circuit to light up the ray source addressably, where Pattern={P 1 , P 2 ,...,P i ...,P N } is the sequence of N designed irradiation schemes, and the specific The number of illuminated flat-panel X-ray arrays under the irradiation situation P i is denoted as S i , and the number of detector units is denoted as D. Under specific irradiation, the measured data on detector d is denoted as I d,Pi . The ideal The collection process is expressed as:

其中,是在一种照射Pi下,第d个检测器上的测量数据,asd代表与第d个检测器相对应的第s个射线源的系统矩阵,I0为光源强度,x为待重建图像。in, is the measurement data on the d-th detector under one kind of irradiation P i , a sd represents the system matrix of the s-th ray source corresponding to the d-th detector, I 0 is the light source intensity, and x is to be reconstructed image.

可寻址点亮的方法是设计不同的照射序列,通过一系列照射序列的组合对混叠测量数据解混叠。The method of addressable lighting is to design different illumination sequences, and deal with the aliasing measurement data through the combination of a series of illumination sequences.

S3中,通过重建系统利用建立目标函数的方法对重建图像进行优化求解,得到成像物体内部结构信息。In S3, the reconstruction system uses the method of establishing an objective function to optimize and solve the reconstruction image, and obtain the internal structure information of the imaging object.

重建系统获得物体内部结构信息的具体方法如下:The specific method for the reconstruction system to obtain the internal structure information of the object is as follows:

建立拉格朗日优化方程对重建图像进行优化求解;Establish the Lagrangian optimization equation to optimize and solve the reconstructed image;

其中,是在一种照射下,第d个检测器上的测量数据,asd代表与第d个检测器相对应的第s个射线源的系统矩阵,Si为特定照射方案Pi下点亮平板射线源的源总数,I0为光源强度,D为探测器总数,x为重建图像,βi为正则化参数,Ri(x)为正则项,M为正则项个数。in, is the measurement data on the d-th detector under one kind of irradiation, a sd represents the system matrix of the s-th ray source corresponding to the d-th detector, S i is the lighted plate under a specific irradiation scheme P i The total number of ray sources, I 0 is the light source intensity, D is the total number of detectors, x is the reconstructed image, β i is the regularization parameter, R i (x) is the regularization item, and M is the number of regularization items.

拉格朗日优化方程中,能够选用正则项,但不限于全变分正则,优化方程具体为:In the Lagrangian optimization equation, the regularization term can be selected, but not limited to the total variational regularization. The optimization equation is specifically:

优化方程的求解过程使用POCS凸集投影法进行求解,具体求解过程如下:The solution process of the optimization equation is solved using the POCS convex set projection method. The specific solution process is as follows:

第一步,加载测量数据,更新x:The first step is to load the measurement data and update x:

表示N个照射方案的重建后投影与实际测量数据之间的误差,其中:make Indicates the error between the reconstructed projections of N illumination schemes and the actual measured data, where:

采用牛顿梯度法进行迭代更新:Iterative update using Newton's gradient method:

其中,n-1和n表示迭代次数,λ是更新间隔,采用泰勒展开对公式进行优化求解,I0exp(-asdx)在x0处经泰勒展开为:Among them, n-1 and n represent the number of iterations, λ is the update interval, and Taylor expansion is used to optimize and solve the formula. I 0 exp(-a sd x) is expanded by Taylor at x 0 as:

代入公式得到:Into the formula get:

一阶导数为:and The first derivative is:

二阶导数为: The second derivative is:

代入f'(xn-1),f”(xn-1)中,更新重建图像得到xnWill Substitute into f'(x n-1 ), f"(x n-1 ), update and reconstruct the image to get x n ;

第二步,图像正约束为 In the second step, the image is positively constrained as

第三步,TV梯度下降进行图像更新:The third step, TV gradient descent for image update:

其中,M为梯度下降次数,βTV为步长,dA为残差。Among them, M is the number of gradient descents, β TV is the step size, and d A is the residual error.

一种基于平面阵列射线源的断层成像系统,包括平面阵列射线源、束光器、射线源寻址控制电路、探测器和重建系统;A tomographic imaging system based on a planar array ray source, comprising a planar array ray source, a light beam device, a ray source addressing control circuit, a detector and a reconstruction system;

束光器固定在平面阵列射线源上,射线源由电路控制生成不同的照射序列,组成系统的射线源部分;The light beam device is fixed on the plane array radiation source, and the radiation source is controlled by the circuit to generate different irradiation sequences, which constitute the radiation source part of the system;

探测器设置在射线源对侧,用于接收测量信号,探测器连接重建系统,探测器用于将接收到的数据通过探测器采集软件传递至重建系统中。The detector is arranged on the opposite side of the ray source for receiving measurement signals, the detector is connected to the reconstruction system, and the detector is used to transmit the received data to the reconstruction system through the detector acquisition software.

所述平板阵列射线源可以但不仅限于选用可行列寻址的共面聚焦纳米冷阴极电子源阵列。The flat panel array ray source can be, but not limited to, select a column-addressable coplanar focus nano-cold cathode electron source array.

与现有技术相比,本发明通过仿真对平板阵列射线源的出射角度,束光效率进行研究,设计束光器对发散的平板射线源进行约束,使得每个光源只覆盖成像目标的一部分,提高了光子利用率,减少了不必要的混叠,可适应高密度光源的设计与低功耗的要求;通过不同照射方式进行混叠数据解耦,在保证成像分辨率情况下实现近距离成像,获得物体内部结构信息。通过控制电路设计序列发光模式,在保证剂量的情况下,利用投影之间相关性,对混叠的测量数据进行解耦;最终利用本发明的重建系统,最终求解出成像物体,实现基于平面阵列射线源的断层层析成像系统。本发明的系统具有小型化,便携化,寿命长的特点,弥补了传统单点源射线源成像系统体积庞大,无法在非常规情况下使用的缺陷。Compared with the prior art, the present invention studies the exit angle and beam efficiency of the flat-panel array ray source through simulation, and designs the beam device to constrain the divergent flat-panel ray source so that each light source only covers a part of the imaging target. It improves photon utilization, reduces unnecessary aliasing, and can adapt to the design of high-density light sources and low power consumption requirements; decouples aliasing data through different illumination methods, and realizes close-range imaging while ensuring imaging resolution , to obtain the internal structure information of the object. By controlling the circuit to design the sequential light emission mode, under the condition of ensuring the dose, the correlation between the projections is used to decouple the aliased measurement data; finally, the reconstruction system of the present invention is used to finally solve the imaging object, and realize the imaging based on the planar array X-ray source tomography system. The system of the present invention has the characteristics of miniaturization, portability and long life, and makes up for the defect that the traditional single-point source ray source imaging system is bulky and cannot be used in unconventional conditions.

附图说明Description of drawings

图1为冷阴极平面阵列射线源和发光角度示意图;Fig. 1 is a schematic diagram of cold cathode planar array ray source and luminous angle;

图2为冷阴极平面阵列射线源变为平行束示意图;Fig. 2 is a schematic diagram of changing a cold cathode planar array ray source into a parallel beam;

图3为冷阴极平面阵列射线源根据蒙卡仿真角度分布示意图;Fig. 3 is a schematic diagram of the angular distribution of the cold cathode planar array ray source according to the Monte Carlo simulation;

图4为束光器示意图;Fig. 4 is a schematic diagram of a light beam device;

图5为光源照射角度示意图,其中,(a)为垂直出光示意图,(b)为侧边斜出光角度示意图;Fig. 5 is a schematic diagram of the irradiation angle of the light source, wherein (a) is a schematic diagram of a vertical light exit, and (b) is a schematic diagram of a side oblique light exit angle;

图6为PN=36组照射方案示意图,其中,实心表示由控制电路点亮的射线源;Fig. 6 is a schematic diagram of the irradiation scheme of P N = 36 groups, wherein the solid represents the radiation source lit by the control circuit;

图7为基于平面阵列射线源的断层层析成像系统的示意图;7 is a schematic diagram of a tomography system based on a planar array ray source;

图8为图像重建流程图;Fig. 8 is a flow chart of image reconstruction;

图9为仿真结果示意图;Figure 9 is a schematic diagram of the simulation results;

具体实施方式Detailed ways

下面结合附图对本发明做进一步说明。The present invention will be further described below in conjunction with the accompanying drawings.

一种基于平面阵列射线源的断层成像方法,包括以下步骤:A tomographic imaging method based on a plane array ray source, comprising the following steps:

S1,平面阵列射线源可选用但不仅限于可行列寻址的共面聚焦纳米冷阴极电子源阵列(专利号:201711063201.6),利用束光器对光束进行整形。S1, the planar array ray source can be selected, but not limited to, column-addressable coplanar focusing nano-cold cathode electron source array (patent number: 201711063201.6), and the beam is shaped by the beam device.

首先,考虑增加束光器对光束进行整形,抑制测量数据的混叠。若直接将冷阴极平面阵列射线源通过束光器变为平行束,如图2所示。存在以下问题:First of all, consider adding beam optics to shape the beam to suppress the aliasing of measurement data. If the cold cathode planar array ray source is directly transformed into a parallel beam through the beam device, as shown in Figure 2. The following problems exist:

1、从束光器考虑,光源的分辨率远大于探测器分辨率,成像分辨率将取决于光源分辨率;1. Considering the light beam device, the resolution of the light source is much larger than that of the detector, and the imaging resolution will depend on the resolution of the light source;

2、参见图3,由蒙卡仿真可知,直射光子的数量非常少,如图1所示。假设束光器间距为1mm,开孔大小为0.035mm,则束光后仅有1.04%的光子通过,99%的光子将被浪费,光源的利用效率极低。为了在保证光源利用效率的情况下,减少探测器端的测量数据混叠,需要在冷阴极平板射线源进行光束整形,即在冷阴极平面阵列射线源前放置束光器。2. Referring to Figure 3, it can be seen from the Monte Carlo simulation that the number of direct photons is very small, as shown in Figure 1. Assuming that the beam beam distance is 1mm and the opening size is 0.035mm, only 1.04% of the photons pass through after beaming, and 99% of the photons will be wasted, and the utilization efficiency of the light source is extremely low. In order to reduce the aliasing of measurement data at the detector end while ensuring the utilization efficiency of the light source, it is necessary to perform beam shaping on the cold cathode flat panel ray source, that is, to place a beamer in front of the cold cathode planar array ray source.

参见图4,通过对束光器的开口形状,开口间距,以及束光器角度的大小进行仿真实验。从光子利用效率的角度,最终确定束光器的方案束光器为圆柱形开口,间距为3mm,开孔半径为0.5mm,尺寸为60mm×60mm×2mm的铜板束光器,如图4所示,光源个数设计并不唯一,本系统采用15x15的光源个数密度进行系统设计。此外,可以通过改变束光器的开孔方式改变平板源的照射张角,例如侧边斜出光的出射方式增加更多Z轴分辨率信息,以下示意两种束光器开孔后光源照射方式,如图5所示。Referring to Fig. 4, a simulation experiment is performed on the shape of the opening of the light beam, the distance between the openings, and the size of the angle of the light beam. From the perspective of photon utilization efficiency, the plan of the beam beam device is finally determined as a copper plate beam beam device with a cylindrical opening, a spacing of 3mm, a hole radius of 0.5mm, and a size of 60mm×60mm×2mm, as shown in Figure 4. It shows that the design of the number of light sources is not unique. This system adopts the number density of 15x15 light sources for system design. In addition, the irradiation angle of the flat panel source can be changed by changing the opening method of the light beam device. For example, the oblique light exiting from the side can increase more Z-axis resolution information. The following shows two light source irradiation methods after the beam device is opened , as shown in Figure 5.

S2,利用控制电路对射线源进行可寻址点亮,采用序列点亮的方式完成数据的采集。S2, using the control circuit to perform addressable lighting on the radiation source, and completing data collection in a sequential lighting manner.

通过控制电路编程实现冷阴极平面阵列射线源可控发光的功能。在保证剂量的情况下,通过不同照射方式,对测量投影数据进行编码。利用投影之间的相关性,进一步解开混叠。理论上说,照射方案组合足够多,可直接进行线性方程求解各个射线源所对应的投影值。但是由于剂量的考虑,照射方案的设计应遵循简单高效的原则。照射方案设计并不唯一,本设计提出几种高效的照射组合方式,通过该组合可以高效重建出物体,设计的照射方案如图6所示,其中黑色表示为电路控制点亮的点源。The function of controllable light emission of the cold cathode planar array ray source is realized through the programming of the control circuit. In the case of ensuring the dose, the measured projection data is encoded through different irradiation methods. Using correlations between projections, aliasing is further disentangled. Theoretically speaking, there are enough combinations of irradiation schemes, and linear equations can be directly used to solve the projection values corresponding to each ray source. However, due to dose considerations, the design of the irradiation scheme should follow the principle of simplicity and efficiency. The design of the illumination scheme is not unique. This design proposes several efficient illumination combination methods, through which the object can be reconstructed efficiently. The designed illumination scheme is shown in Figure 6, where the black represents the point source controlled by the circuit.

利用控制电路对射线源进行可寻址点亮,其中Pattern={P1,P2,...,Pi...,PN}为N个设计的照射方案序列,将特定照射情况Pi下点亮的平板X射线阵列的数量表示为Si,将探测器单元的数量表示为D,在特定照射下,探测器d上的测量数据记作理想的采集过程表示为:Use the control circuit to light up the ray source addressably, where Pattern={P 1 ,P 2 ,...,P i ...,P N } is a sequence of N designed irradiation schemes, and the specific irradiation situation P The number of flat-panel X-ray arrays illuminated under i is denoted as S i , the number of detector units is denoted as D, and the measured data on detector d is denoted as The ideal acquisition process is expressed as:

其中,是在一种照射Pi下,第d个检测器上的测量数据,asd代表与第d个检测器相对应的第s个射线源的系统矩阵,I0为光源强度,x为待重建图像。in, is the measurement data on the d-th detector under one kind of irradiation P i , a sd represents the system matrix of the s-th ray source corresponding to the d-th detector, I 0 is the light source intensity, and x is to be reconstructed image.

可寻址点亮的方法是设计不同的照射序列,通过一系列照射序列的组合对混叠测量数据解混叠。The method of addressable lighting is to design different illumination sequences, and deal with the aliasing measurement data through the combination of a series of illumination sequences.

通过重建系统利用建立目标函数的方法对重建图像进行优化求解,得到成像物体内部结构信息。重建系统获得物体内部结构信息的具体方法如下:Through the reconstruction system, the method of establishing the objective function is used to optimize and solve the reconstruction image, and obtain the internal structure information of the imaging object. The specific method for the reconstruction system to obtain the internal structure information of the object is as follows:

建立拉格朗日优化方程对重建图像进行优化求解;Establish the Lagrangian optimization equation to optimize and solve the reconstructed image;

其中,是在一种照射下,第d个检测器上的测量数据,asd代表与第d个检测器相对应的第s个射线源的系统矩阵,Si为特定照射方案Pi下点亮平板射线源的源总数,I0为光源强度,D为探测器总数,x为重建图像,βi为正则化参数,Ri(x)为正则项,M为正则项个数。in, is the measurement data on the d-th detector under one kind of irradiation, a sd represents the system matrix of the s-th ray source corresponding to the d-th detector, S i is the light-up panel under a specific irradiation scheme P i The total number of ray sources, I 0 is the light source intensity, D is the total number of detectors, x is the reconstructed image, β i is the regularization parameter, R i (x) is the regularization item, and M is the number of regularization items.

S3,利用重建系统进行重建,最终获得物体的内部结构信息。S3, use the reconstruction system to reconstruct, and finally obtain the internal structure information of the object.

参见图7,基于平面阵列射线源的断层成像系统,其中所述系统包括冷阴极平面阵列射线源、束光器、射线源寻址控制电路、探测器,重建系统,其中束光器尺寸如图4所示,出光方式可使用图5的两种方式。在采集过程种,通过电路控制完成对照射方式的编码,如图6所示。在探测器端,将物体直接放置在探测器上。下面结合图4-8详细描述基于冷阴极平板射线源的层析成像系统的数据采集过程与重建过程:Referring to Fig. 7, a tomographic imaging system based on a planar array radiation source, wherein the system includes a cold cathode planar array radiation source, a light beam device, a radiation source addressing control circuit, a detector, and a reconstruction system, wherein the size of the beam light device is as shown in the figure As shown in Figure 4, the light emitting mode can use the two modes in Figure 5. In the acquisition process, the encoding of the irradiation mode is completed through circuit control, as shown in Figure 6. On the detector side, place the object directly on the detector. The following describes in detail the data acquisition process and reconstruction process of the tomography system based on the cold cathode flat-panel ray source in conjunction with Figures 4-8:

(a)假设通过每个束光器孔的光束形状一致与出光强度一致,即采用图5(a)方式进行光束约束。(a) Assuming that the shape of the beam passing through each beam aperture is consistent with the output light intensity, that is, the beam constraint is carried out in the manner shown in Figure 5(a).

(b)在探测器端放置成像物体,利用控制电路生成不同的照射编码组合,PN=36。(b) An imaging object is placed at the detector end, and a control circuit is used to generate different irradiation code combinations, P N =36.

(c)在图像重建过程中,存在两个循环,如图8所示,每次载入一种照射方案的索引信息,使用如下优化方程进行优化:(c) In the image reconstruction process, there are two loops, as shown in Figure 8, each time the index information of an irradiation scheme is loaded, and the following optimization equation is used for optimization:

例如,在TV正则情况下,求解过程可使用POCS(凸集投影法)进行求解。主要的求解过程可分为以下几步:For example, in the case of TV regularization, the solution process can use POCS (Projection on Convex Sets) to solve. The main solution process can be divided into the following steps:

S1.加载测量数据,更新x:S1. Load measurement data and update x:

表示N个照射方案的重建后投影与实际测量数据之间的误差。其中:make Indicates the error between the reconstructed projections of the N illumination schemes and the actual measured data. in:

更新方式不限于牛顿梯度下降,采用牛顿梯度法进行迭代更新:The update method is not limited to Newton gradient descent, and the Newton gradient method is used for iterative update:

其中,n-1和n表示迭代次数,λ是更新间隔。采用泰勒展开对公式进行优化求解,I0exp(-asdx)在x0处经泰勒展开为:where n-1 and n represent the number of iterations, and λ is the update interval. Using Taylor expansion to optimize and solve the formula, I 0 exp(-a sd x) is expanded by Taylor at x 0 as:

代入公式得到:Into the formula get:

一阶导数为:and The first derivative is:

二阶导数为: The second derivative is:

代入f'(xn-1),f”(xn-1)中,更新重建图像得到xnWill Substitute into f'(x n-1 ), f"(x n-1 ), and update the reconstructed image to obtain x n .

S2.图像正约束, S2. Image positive constraints,

S3.TV梯度下降进行图像更新S3.TV gradient descent for image update

其中,M为梯度下降次数,βTV为步长,dA为残差,进入下一次迭代。Among them, M is the number of gradient descents, β TV is the step size, d A is the residual error, and enters the next iteration.

使用以上所述的模型与重建方法,搭建基于冷阴极平面阵列射线源的层析成像系统,所用参数均与图4-7保持一致,源与探测器距离为190mm,探测器尺寸为0.2mm。仿真实验结果如图9所示。由实验结果可见,基于本发明的平面阵列射线源的层析成像系统可通过不同照射方式进行混叠数据解耦,在保证成像分辨率情况下实现近距离成像,获得物体内部结构信息。Using the model and reconstruction method described above, build a tomography system based on a cold cathode planar array ray source. The parameters used are consistent with those in Figure 4-7. The distance between the source and the detector is 190mm, and the size of the detector is 0.2mm. The simulation experiment result is shown in Fig. 9 . It can be seen from the experimental results that the tomographic imaging system based on the planar array ray source of the present invention can decouple aliased data through different irradiation methods, realize close-range imaging while ensuring imaging resolution, and obtain internal structure information of objects.

本发明实现了首个基于平面阵列射线源的断层层析成像系统。参见图7,通过设计束光器对光束进行整形,提高光子利用率,利用控制电路进行照射方式组合,对混叠测量数据进行解耦,使得该系统具有近距离成像的特点,无场地应用限制,具有广泛应用场景。The invention realizes the first tomographic imaging system based on the planar array ray source. Referring to Figure 7, the beam shaper is designed to shape the beam to improve the photon utilization rate, and the control circuit is used to combine the irradiation methods and decouple the aliasing measurement data, so that the system has the characteristics of close-range imaging and has no site application restrictions , with a wide range of application scenarios.

Claims (6)

1.一种基于平面阵列射线源的断层成像方法,其特征在于,包括以下步骤:1. A tomography method based on a planar array ray source, characterized in that, comprising the following steps: S1,利用束光器对光束进行整形;S1, using a beamer to shape the beam; 其中,根据光子利用率角度设计束光器开口形状和角度,使得每个光源只覆盖成像目标的一部分,所有光源点亮将完全覆盖成像目标;Among them, the opening shape and angle of the beam light device are designed according to the angle of photon utilization, so that each light source only covers a part of the imaging target, and all light sources will completely cover the imaging target; S2,利用控制电路对射线源进行可寻址点亮;S2, using the control circuit to perform addressable lighting on the radiation source; 其中,利用控制电路对射线源进行可寻址点亮,其中Pattern={P1,P2,...,Pi...,PN}为N个设计的照射方案序列,将特定照射情况Pi下点亮的平板X射线阵列的数量表示为Si,将探测器单元的数量表示为D,在特定照射下,探测器d上的测量数据记作理想的采集过程表示为:Wherein, the control circuit is used to addressably light up the ray source, where Pattern={P 1 , P 2 ,...,P i ...,P N } is a sequence of N designed irradiation schemes, and the specific irradiation The number of illuminated flat-panel X-ray arrays under the situation P i is denoted as S i , the number of detector units is denoted as D, and the measured data on the detector d is denoted as The ideal acquisition process is expressed as: 其中,Id,Pi是在一种照射Pi下,第d个检测器上的测量数据,asd代表与第d个检测器相对应的第s个射线源的系统矩阵,I0为光源强度,x为待重建图像;Among them, I d,Pi is the measurement data on the dth detector under a kind of irradiation Pi , a sd represents the system matrix of the sth ray source corresponding to the dth detector, and I 0 is the light source Intensity, x is the image to be reconstructed; S3,利用重建系统最终获得物体内部结构信息;S3, using the reconstruction system to finally obtain the internal structure information of the object; 其中,通过重建系统利用建立目标函数的方法对重建图像进行优化求解,得到成像物体内部结构信息;Among them, the reconstruction system uses the method of establishing an objective function to optimize and solve the reconstruction image, and obtain the internal structure information of the imaging object; 重建系统获得物体内部结构信息的具体方法如下:The specific method for the reconstruction system to obtain the internal structure information of the object is as follows: 建立拉格朗日优化方程对重建图像进行优化求解;Establish the Lagrangian optimization equation to optimize and solve the reconstructed image; 其中,是在一种照射下,第d个检测器上的测量数据,asd代表与第d个检测器相对应的第s个射线源的系统矩阵,Si为特定照射方案Pi下点亮平板射线源的源总数,I0为光源强度,D为探测器总数,x为重建图像,βi为正则化参数,Ri(x)为正则项,M为正则项个数。in, is the measurement data on the d-th detector under one kind of irradiation, a sd represents the system matrix of the s-th ray source corresponding to the d-th detector, S i is the light-up panel under a specific irradiation scheme P i The total number of ray sources, I 0 is the light source intensity, D is the total number of detectors, x is the reconstructed image, β i is the regularization parameter, R i (x) is the regularization item, and M is the number of regularization items. 2.根据权利要求1所述的一种基于平面阵列射线源的断层成像方法,其特征在于,可寻址点亮的方法是设计不同的照射序列,通过一系列照射序列的组合对混叠测量数据解混叠。2. A tomographic imaging method based on a planar array ray source according to claim 1, wherein the method of addressable lighting is to design different irradiation sequences, and to measure the aliasing by a combination of a series of irradiation sequences Data unaliasing. 3.根据权利要求1所述的一种基于平面阵列射线源的断层成像方法,其特征在于,拉格朗日优化方程中,能够选用正则项,但不限于全变分正则,优化方程具体为:3. a kind of tomographic imaging method based on planar array ray source according to claim 1, it is characterized in that, in the Lagrangian optimization equation, regularization term can be selected, but not limited to total variation regularity, optimization equation is specifically : 4.根据权利要求1所述的一种基于平面阵列射线源的断层成像方法,其特征在于,优化方程的求解过程使用POCS凸集投影法进行求解,具体求解过程如下:4. a kind of tomography method based on planar array ray source according to claim 1, it is characterized in that, the solving process of optimization equation uses POCS convex set projection method to solve, and concrete solving process is as follows: 第一步,加载测量数据,更新x:The first step is to load the measurement data and update x: 表示N个照射方案的重建后投影与实际测量数据之间的误差,其中:make Indicates the error between the reconstructed projections of N illumination schemes and the actual measured data, where: 采用牛顿梯度法进行迭代更新:Iterative update using Newton's gradient method: 其中,n-1和n表示迭代次数,λ是更新间隔,采用泰勒展开对公式进行优化求解,Among them, n-1 and n represent the number of iterations, λ is the update interval, and the formula is optimized and solved by Taylor expansion, I0exp(-asdx)在x0处经泰勒展开为:I 0 exp(-a sd x) is expanded by Taylor at x 0 as: 代入公式得到:Into the formula get: 一阶导数为:and The first derivative is: 二阶导数为: The second derivative is: 代入f'(xn-1),f”(xn-1)中,更新重建图像得到xnWill Substitute into f'(x n-1 ), f"(x n-1 ), update and reconstruct the image to get x n ; 第二步,图像正约束为 In the second step, the image is positively constrained as 第三步,TV梯度下降进行图像更新:The third step, TV gradient descent for image update: 其中,M为梯度下降次数,βTV为步长,dA为残差。Among them, M is the number of gradient descents, β TV is the step size, and d A is the residual error. 5.一种基于权利要求1所述的平面阵列射线源的断层成像方法的成像系统,其特征在于,包括平面阵列射线源、束光器、射线源寻址控制电路、探测器和重建系统;5. An imaging system based on the tomographic imaging method of the planar array ray source according to claim 1, characterized in that it comprises a planar array ray source, a light beam device, a ray source addressing control circuit, a detector, and a reconstruction system; 束光器固定在平面阵列射线源上,射线源由电路控制生成不同的照射序列,组成系统的射线源部分;The light beam device is fixed on the plane array radiation source, and the radiation source is controlled by the circuit to generate different irradiation sequences, which constitute the radiation source part of the system; 探测器设置在射线源对侧,用于接收测量信号,探测器连接重建系统,探测器用于将接收到的数据通过探测器采集软件传递至重建系统中。The detector is arranged on the opposite side of the ray source for receiving measurement signals, the detector is connected to the reconstruction system, and the detector is used to transmit the received data to the reconstruction system through the detector acquisition software. 6.根据权利要求5所述的一种基于平面阵列射线源的断层成像方法的成像系统,其特征在于,所述平面阵列射线源选用可行列寻址的共面聚焦纳米冷阴极电子源阵列。6 . The imaging system of a tomographic imaging method based on a planar array ray source according to claim 5 , wherein the planar array ray source is a column-addressable coplanar focusing nano-cold cathode electron source array. 7 .
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