CN108763758A - A kind of GATE emulation modes of non-complete ring-type PET rotation sweep patterns - Google Patents
A kind of GATE emulation modes of non-complete ring-type PET rotation sweep patterns Download PDFInfo
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Abstract
本发明公开了一种非完备环状PET旋转扫描模式的GATE仿真方法,该方法步骤如下:仿真前模型及参数准备,包括GATE平台下建立非完备环状PET几何模型,放射源模型设置,晶体传感器参数设定,探测器单次旋转角度与旋转次数计算与设置,粒子间物理作用设置,模数转换电路参数设置,输出文件格式设置,起始扫描时间、时间片段、总体仿真时间设置;仿真阶段确定探测器初始位置,完成该位置下静态扫描后再对非完备探测器环进行旋转并重复以上扫描,当总体扫描时间达到预先设定值即结束仿真。通过本发明的仿真方法,为少量晶体传感器完成PET设备搭建方案提供了仿真验证,有助于旋转式PET采集模式的优化及设备研发,降低设备制造成本。
The invention discloses a GATE simulation method of an incomplete annular PET rotation scanning mode. The steps of the method are as follows: pre-simulation model and parameter preparation, including establishment of an incomplete annular PET geometric model under the GATE platform, radioactive source model setting, crystal Sensor parameter setting, calculation and setting of detector single rotation angle and number of rotations, physical interaction setting between particles, analog-to-digital conversion circuit parameter setting, output file format setting, initial scanning time, time segment, overall simulation time setting; simulation In the first stage, the initial position of the detector is determined. After completing the static scanning at this position, the incomplete detector ring is rotated and the above scanning is repeated. When the overall scanning time reaches the preset value, the simulation ends. Through the simulation method of the present invention, simulation verification is provided for a small amount of crystal sensors to complete the PET equipment construction scheme, which is helpful to the optimization of the rotary PET collection mode and equipment development, and reduces the equipment manufacturing cost.
Description
技术领域technical field
本发明属于核物理仿真实验领域,尤其涉及了一种针对非完备环状PET旋转扫描模式的GATE仿真方法。The invention belongs to the field of nuclear physics simulation experiments, and in particular relates to a GATE simulation method aiming at an incomplete annular PET rotation scanning mode.
背景技术Background technique
近年来,辐射探测技术在工业、农业、医疗卫生、科学研究广泛应用,由于各种功能强大、结构复杂的辐射探测装置和谱仪不断被研究、开发,早期的探测器开发和研究方法以及无法适应需求。各种目前各科研机构和设备开发公司普遍采用计算机模拟辅助探测器的设计,蒙特卡罗方法作为一种随机数方法,与载能粒子在探测器介质中的物理过程相似,因此该方法已成为科研人员和工程师进行探测器辅助设计的重要手段。In recent years, radiation detection technology has been widely used in industry, agriculture, medical and health, and scientific research. Due to the continuous research and development of various powerful and complex radiation detection devices and spectrometers, early detector development and research methods and inability to Adapt to needs. At present, various scientific research institutions and equipment development companies generally use computer simulation to assist the design of detectors. As a random number method, the Monte Carlo method is similar to the physical process of energetic particles in the detector medium, so this method has become It is an important means for scientific researchers and engineers to assist in the design of detectors.
正电子发射断层成像(Positron Emission Tomography,简称PET)是当今医学领域尖端水平的成像方法,它基于正电子湮灭原理,能够根据放射示踪剂在生物体组织内的分布状态而无创、定量、动态地评估各种器官的代谢水平、生化反应和功能活动。而随着PET技术的不断发展,其应用领域也不再仅仅局限于医学领域,比如针对植物研究的PET成像仪,工业领域粒子追踪的PET成像设备,都体现出PET成像在各领域的应用价值。正电子湮灭产生的γ光子对有很强的穿透能力,受材料及环境因素影响小,将正电子核素标记到合适的载体如液体、气体或固体颗粒等介质上,注入设备内部,再根据外围的PET设备进行探测成像,可实现工业设备内部被标记粒子的定位。但由于目前医用PET探测环一旦搭建完成,布局很难更改,且整环探测器数目多,硬件复杂,并不能适用于结构复杂多变的工业设备;同时,由于PET传感器价格昂贵,许多处于研究阶段的探测器设计尤其是可行性验证的试验,无法通过PET硬件设备直接展开试验。Positron Emission Tomography (PET) is a cutting-edge imaging method in today's medical field. It is based on the principle of positron annihilation and can noninvasively, quantitatively and dynamically It can accurately assess the metabolic level, biochemical reaction and functional activity of various organs. With the continuous development of PET technology, its application fields are no longer limited to the medical field. For example, PET imagers for plant research and PET imaging equipment for particle tracking in the industrial field all reflect the application value of PET imaging in various fields. . The γ-photon pairs produced by the annihilation of positrons have strong penetrating ability and are less affected by materials and environmental factors. The positron nuclide is marked on a suitable carrier such as liquid, gas or solid particles, injected into the device, and then Detection and imaging based on peripheral PET equipment can realize the positioning of marked particles inside industrial equipment. However, once the current medical PET detection ring is built, the layout is difficult to change, and the number of detectors in the whole ring is large, and the hardware is complex, which is not suitable for industrial equipment with complex and changeable structures; at the same time, due to the high price of PET sensors, many of them are under research In the stage of detector design, especially the feasibility verification test, it is impossible to directly carry out the test through PET hardware equipment.
发明内容Contents of the invention
发明目的:针对以上现有技术存在的问题,本发明旨在提供一种非完备环状PET旋转扫描模式的GATE仿真方法,提出采用晶体传感器加入旋转扫描完成非完备PET设备搭建方案,传感器对数无限制,使其在工业应用领域更为灵活;通过GATE仿真方法来模拟真实PET设备旋转扫描模式,为旋转式PET设备搭建方案提供了仿真验证及优化参考,为旋转式PET设备研发提供辅助作用。Purpose of the invention: In view of the above existing problems in the prior art, the present invention aims to provide a GATE simulation method of incomplete annular PET rotation scanning mode, and proposes to use crystal sensors to add rotation scanning to complete the construction of incomplete PET equipment. Unlimited, making it more flexible in the field of industrial applications; using the GATE simulation method to simulate the rotation scanning mode of real PET equipment, providing simulation verification and optimization reference for the construction plan of rotary PET equipment, and providing assistance for the development of rotary PET equipment .
技术方案:为实现本发明的目的,本发明所采用的技术方案是:一种非完备环状PET旋转扫描模式的GATE仿真方法,该仿真方法步骤如下:Technical scheme: in order to realize the purpose of the present invention, the technical scheme adopted in the present invention is: a kind of GATE emulation method of incomplete circular PET rotation scanning mode, and the steps of this emulation method are as follows:
(1)仿真环境为Linux Ubuntu系统下GATE平台,在平台上建立PET探测器模型,探测器中的传感器对数有多种选择,且呈等间隔环状排布;(1) The simulation environment is the GATE platform under the Linux Ubuntu system, and a PET detector model is established on the platform. There are multiple choices for the number of sensor pairs in the detector, and they are arranged in a ring at equal intervals;
(2)将预设数目的放射源模型的二维灰度切片图合并转换为GATE可读取的放射源模型格式,调整模型尺寸,根据像素灰度及GATE材料数据库设置模型的材料分布与核素活度分布的配置文档;(2) Merge and convert the two-dimensional grayscale slice images of the preset number of radioactive source models into a radioactive source model format readable by GATE, adjust the size of the model, and set the material distribution and kernel of the model according to the pixel grayscale and the GATE material database Configuration documentation for prime activity distribution;
(3)设置晶体传感器参数,确定传感器内部晶体条编号规则;(3) Set the parameters of the crystal sensor and determine the numbering rules of the crystal strips inside the sensor;
(4)根据晶体传感器尺寸求解PET探测环旋转参数,根据成像分辨率要求选择单晶体条对应圆心角的整数倍作为旋转步进角度,通过传感器对数及设置的旋转步进角,计算得到探测环完成整个圆周扫描的旋转次数;(4) Solve the rotation parameters of the PET detection ring according to the size of the crystal sensor, select an integer multiple of the center angle corresponding to the single crystal strip as the rotation step angle according to the imaging resolution requirements, and calculate the detection ring through the logarithm of the sensor and the set rotation step angle The number of revolutions to complete a full circular scan;
(5)对PET探测器中模数转换电路参数、粒子相互作用、输出文件格式进行设置;(5) Set the analog-to-digital conversion circuit parameters, particle interaction, and output file format in the PET detector;
(6)设置探测器起始扫描时间,时间片段以及总体扫描时间;(6) Set the initial scan time of the detector, the time segment and the overall scan time;
(7)仿真阶段确定探测器初始位置,并根据时间片段进行扫描,完成该位置扫描后对非完备探测器环进行旋转进行下一次扫描,当总体扫描时间达到预先设定值即停止仿真;(7) In the simulation stage, the initial position of the detector is determined, and the scan is performed according to the time segment. After the position scan is completed, the incomplete detector ring is rotated for the next scan. When the overall scan time reaches the preset value, the simulation is stopped;
(8)在完成整个扫描过程后,对输出的符合事件数据进行角度修正,修正后用于数据重组,重组后的正弦图用于图像重建。(8) After the whole scanning process is completed, angle correction is performed on the output coincidence event data, and the correction is used for data reorganization, and the reorganized sinogram is used for image reconstruction.
其中,步骤(1)中,在GATE仿真平台建立三维坐标系,构建PET探测器模型,该探测器模型包括探测环T,n个晶体传感器M0~Mn,并且传感器等间隔分布在内径为D毫米的探测环T上,且环所在面与xOy平面平行,其中M0为起始传感器编号,从z轴负方向看,传感器系统由M0~Mn顺时针递增。Among them, in step (1), a three-dimensional coordinate system is established on the GATE simulation platform, and a PET detector model is constructed. The detector model includes a detection ring T, n crystal sensors M0~Mn, and the sensors are distributed at equal intervals with an inner diameter of D mm On the detection ring T, and the plane where the ring is located is parallel to the xOy plane, where M0 is the initial sensor number, and the sensor system increases clockwise from M0 to Mn when viewed from the negative direction of the z-axis.
其中,步骤(2)中,将放射源模型的二维切片图合并且转换为“.img”、“.hdr”格式,通过像素尺寸调节设置放射源模型尺寸,在不同的像素灰度区域设置模型中不同的材料,不同的放射源活度,最终GATE平台可直接读取以“.img”、“.hdr”格式存储的放射源模型。Among them, in step (2), the two-dimensional slices of the radioactive source model are merged and converted into ".img" and ".hdr" formats, and the size of the radioactive source model is set by adjusting the pixel size, and set in different pixel grayscale areas. Different materials and different activities of radioactive sources in the model, the final GATE platform can directly read the radioactive source models stored in ".img" and ".hdr" formats.
其中,步骤(3)中,设置传感器参数,包括传感器内部晶体条数目、阵列方式及尺寸,晶体传感器M0~Mn内部阵列为L*H,其中y方向数目为L,z方向数目为H,晶体条底面宽度均为w毫米,x方向为晶体条的长度,晶体条以先y方向递增再z方向递增的顺序进行编号,其中y轴正向为列,z轴正向为行。Wherein, in step (3), the sensor parameters are set, including the number of crystal strips inside the sensor, array mode and size, the internal array of the crystal sensors M0-Mn is L*H, wherein the number in the y direction is L, the number in the z direction is H, and the number of crystals in the z direction is H. The width of the bottom of the bar is w mm, the x direction is the length of the crystal bar, and the crystal bars are numbered in the order of increasing in the y direction and then increasing in the z direction, wherein the positive direction of the y axis is a column, and the positive direction of the z axis is a row.
其中,步骤(4)中,根据单晶体条对应圆心角α的整数倍β设置旋转扫描步进角θn,通过设定的步进角θn与晶体传感器对数n,计算得到探测环完成整个圆周扫描的旋转次数M,计算方法如下:探测环直径为D毫米,单个晶体条宽度为w毫米,通过近似法,可得单个晶体条对应的圆心角单次旋转角θn=βα°,旋转次数 Among them, in step (4), the rotation scanning step angle θ n is set according to the integer multiple β of the central angle α corresponding to the single crystal strip, and the detection ring is calculated to complete the entire The number of rotations M of the circular scan is calculated as follows: the diameter of the detection ring is D millimeters, and the width of a single crystal strip is w millimeters. By approximation, the central angle corresponding to a single crystal strip can be obtained Single rotation angle θ n = βα°, number of rotations
其中,步骤(6)、(7)中,设置仿真起始扫描时间、时间片段、总体扫描时间以及探测器初始扫描位置,仿真起始时间设置为Tstart,时间片段由探测器在每个位置的扫描时间Tslice决定,总体扫描时间Ttotal由探测器旋转的次数M决定,满足Ttotal=M*Tslice,确定仿真阶段探测器初始位置R0,根据Tslice进行扫描,完成该位置扫描后对探测器进行旋转并完成下一次扫描,重复扫描直到总体扫描时间达到设定值停止仿真。Among them, in steps (6) and (7), set the simulation start scan time, time segment, overall scan time and initial scan position of the detector, the simulation start time is set as T start , and the time segment is determined by the detector at each position The scan time T slice is determined, the overall scan time T total is determined by the number of detector rotations M, satisfying T total = M*T slice , determine the initial position R0 of the detector in the simulation stage, scan according to T slice , after completing the scan at this position Rotate the detector and complete the next scan, repeat the scan until the overall scan time reaches the set value to stop the simulation.
其中,步骤(8)中,完成扫描后,得到存储符合事件数据的文档,通过建立一个虚拟的完整圆环,内径为D毫米,圆环上晶体条之间相连且尺寸也与非完备探测器环T上晶体条尺寸一致,其起始位置晶体条编号为0,从z轴负向看顺时针按编号递增进行虚拟编号。Wherein, in step (8), after the scanning is completed, the document that stores the event data is obtained, by establishing a virtual complete ring, the inner diameter is D mm, the crystal strips on the ring are connected and the size is also the same as that of the incomplete detector The size of the crystal strips on the ring T is the same, and the number of the crystal strips at its starting position is 0, and the virtual numbering is performed clockwise from the negative direction of the z-axis.
其中,步骤(8)中,输出的符合事件数据中包括了接收到γ光子的能量、时间、晶体条编号信息,响应线为两个几乎同时接收到γ光子的晶体条连线,通过探测环旋转过的总角度与晶体条编号信息结合,与虚拟环编号进行映射,将晶体条位置与虚拟环上晶体条重合的编号修正为虚拟环上的编号,将探测器旋转M次采集的符合事件数据全部进行晶体条编号修正,修正后的编号能够反映响应线在虚拟圆环上的位置,然后对符合事件数据采用单切片数据重组算法,存储在正弦图中。Among them, in step (8), the output coincident event data includes the energy, time, and crystal number information of the received gamma photons, and the response line is the connection between two crystal bars that receive gamma photons almost simultaneously. The rotated total angle is combined with the number information of the crystal strip, and mapped with the number of the virtual ring, and the number of the coincidence of the position of the crystal strip with the crystal strip on the virtual ring is corrected to the number on the virtual ring, and the coincidence event collected by rotating the detector M times All the data are corrected by the number of crystal strips, and the corrected number can reflect the position of the response line on the virtual ring, and then the single-slice data reorganization algorithm is used for the coincident event data and stored in the sinogram.
有益效果:与现有技术相比,本发明的技术方案具有以下有益效果:Beneficial effects: Compared with the prior art, the technical solution of the present invention has the following beneficial effects:
(1)通过本发明,一定程度为各种数目晶体传感器完成PET设备搭建方案提供了仿真验证,提出的以单晶体条整数倍为旋转步进值的扫描模式,在一定程度上降低了响应线缺失角。(1) Through the present invention, to a certain extent, simulation verification is provided for various numbers of crystal sensors to complete the PET equipment construction scheme, and the proposed scanning mode with an integer multiple of a single crystal bar as the rotation step value reduces the lack of response lines to a certain extent horn.
(2)仿真得到的各项探测器性能指标将为旋转式PET设备研发提供辅助作用,有助于旋转采集模式优化,增加PET探测器灵活性。(2) The performance indicators of the detectors obtained from the simulation will provide assistance for the development of rotary PET equipment, help to optimize the rotation acquisition mode, and increase the flexibility of PET detectors.
附图说明Description of drawings
图1为非完备环状PET旋转扫描模式的GATE仿真方法实施流程图;Fig. 1 is the implementation flow chart of the GATE simulation method of incomplete circular PET rotation scanning mode;
图2为GATE仿真平台下非完备环状PET传感器分布模型示意图;Figure 2 is a schematic diagram of the distribution model of the non-complete annular PET sensor under the GATE simulation platform;
图3为GATE仿真平台中放射源模型及二维切片示意图;Figure 3 is a schematic diagram of the radioactive source model and two-dimensional slices in the GATE simulation platform;
图4为图2中晶体传感器内部晶体阵列及其阵列编码规则示意图;Fig. 4 is a schematic diagram of the internal crystal array of the crystal sensor in Fig. 2 and its array encoding rules;
图5为PET模型旋转采集模式的仿真过程示意图;Fig. 5 is a schematic diagram of the simulation process of the PET model rotation acquisition mode;
图6为基于晶体编码修正原理示意图;Fig. 6 is a schematic diagram of the correction principle based on crystal coding;
图7为整环与非完备PET探测器经过角度修正的数据重组算法得到的sinogram图。Fig. 7 is the sinogram diagram obtained by the angle-corrected data reorganization algorithm of the complete ring and incomplete PET detectors.
具体实施方式Detailed ways
下面结合附图和实施例对本发明的技术方案作进一步的说明。The technical solutions of the present invention will be further described below in conjunction with the accompanying drawings and embodiments.
实施例1Example 1
本发明公开了一种非完整环状PET旋转扫描模式的GATE仿真方法,方法流程如图1所示,仿真前GATE平台下环状PET模型设置,放射源模型设置,晶体传感器参数设置,探测器单次旋转角度与旋转次数计算与设置,粒子间物理作用设置,模数转换电路参数设置,输出文件格式设置,设置仿真起始扫描时间,旋转时每个角度的静态扫描时间,即时间片段,并根据旋转次数与时间片段的乘积确定总体扫描时间。仿真阶段确定探测器初始位置,完成该位置下静态扫描后对非完备探测器环进行旋转并重复扫描,当总体扫描时间达到预先设定值即结束仿真,获取符合事件数据,进行角度修正后实现数据重组。该仿真方法的具体步骤如下:The invention discloses a GATE simulation method of a non-complete ring-shaped PET rotation scanning mode. The method flow is shown in Figure 1. The ring-shaped PET model is set under the GATE platform before the simulation, the radiation source model is set, the crystal sensor parameter is set, and the detector is set. Calculation and setting of single rotation angle and number of rotations, setting of physical interaction between particles, setting of analog-to-digital conversion circuit parameters, setting of output file format, setting of simulation start scanning time, static scanning time of each angle during rotation, that is, time slice, And determine the overall scan time based on the product of the number of rotations and the time slice. In the simulation stage, the initial position of the detector is determined. After the static scanning at this position is completed, the incomplete detector ring is rotated and scanned repeatedly. When the overall scanning time reaches the preset value, the simulation ends, and the corresponding event data is obtained, and the angle is corrected to realize Data reorganization. The specific steps of the simulation method are as follows:
(1)在仿真平台上建立PET探测器模型,传感器对数有多种选择,且等间隔分布。如图2(a)所示,非完备探测环T1,晶体传感器模块M0~M11;在GATE仿真平台建立一个三维坐标系,此坐标系有助于后续探测器、放射源的空间位置调整,生成探测器模型也在此坐标系中显示。图2(a)为一个6对晶体传感器M组成的PET探测器模型,晶体传感器M0~M11等间隔分布在一个内径为100mm的环上,且环所在面与xOy平面平行,其中M0为起始传感器编号,从z轴负方向看,传感器系统编号由M0~M11顺时针递增。(1) The PET detector model is established on the simulation platform. There are multiple choices for the number of sensor pairs, and they are distributed at equal intervals. As shown in Fig. 2(a), incomplete detection ring T1, crystal sensor modules M0~M11; establish a three-dimensional coordinate system on the GATE simulation platform, this coordinate system is helpful for the subsequent spatial position adjustment of detectors and radioactive sources, generating The detector model is also shown in this coordinate system. Figure 2(a) is a PET detector model composed of 6 pairs of crystal sensors M. The crystal sensors M0~M11 are equally spaced on a ring with an inner diameter of 100 mm, and the plane where the ring is located is parallel to the xOy plane, where M0 is the starting point The sensor number, viewed from the negative direction of the z-axis, the sensor system number increases clockwise from M0 to M11.
(2)通过一定数目的放射源二维灰度切片图叠加,建立放射源三维体素模型,并以像素灰度来设置材料分布与核素活度分布。放射源模型是为了模拟研究对象核素分布而建立的模型,如图3所示,S为建立的放射源三维模型,其特征为一个立方体,含有4个不同形状的通孔,分别为椭圆柱、大圆柱、小圆柱和正方体,GATE平台无法直接读取三维格式文件,L为针对此放射源三维模型制作的切片图,切片图为灰度图,像素为128*128,默认像素尺寸为像素/mm,可通过医学软件设置比例尺来调整模型尺寸,一定数目切片图的叠加后,经过医学软件转换生成GATE平台可读取的模型文件格式“.hdr”与“.img”。(2) By superimposing a certain number of two-dimensional grayscale slice images of radioactive sources, a three-dimensional voxel model of radioactive sources is established, and the material distribution and nuclide activity distribution are set by pixel grayscale. The radioactive source model is a model established to simulate the nuclide distribution of the research object. As shown in Figure 3, S is the established three-dimensional model of the radioactive source, which is characterized by a cube containing four through holes of different shapes, which are respectively elliptical cylinders , large cylinder, small cylinder, and cube. The GATE platform cannot directly read 3D format files. L is a slice image made for the 3D model of the radioactive source. The slice image is a grayscale image with a pixel size of 128*128. The default pixel size is pixel /mm, the size of the model can be adjusted by setting the scale through the medical software. After superimposing a certain number of slices, the medical software converts and generates the model file format ".hdr" and ".img" that can be read by the GATE platform.
实例中将模型材料、核素分布分为两部分:不含核素的铝外壳,黑色部分,灰度值为0和含有核素的水,即白色部分,灰度值为255。放射源模型在导入时默认处在三维坐标系第一象限,因此若要将模型置于坐标中其他位置,则需要通过坐标变换进行调整。最终,分别设置放射源材料配置文档与核素活度分布配置文档完成模型建立,材料直接调用GATE平台中材料数据库。In the example, the model material and nuclide distribution are divided into two parts: the aluminum shell without nuclide, the black part, the gray value is 0, and the water containing nuclide, that is, the white part, the gray value is 255. The radioactive source model is in the first quadrant of the 3D coordinate system by default when imported, so if you want to place the model in another position in the coordinates, you need to adjust it through coordinate transformation. Finally, the radioactive source material configuration file and the nuclide activity distribution configuration file are respectively set up to complete the model establishment, and the materials are directly transferred to the material database in the GATE platform.
其中“Alphantom.dat”为材料配置文档,“ActivityRange.dat”为活度配置文档。配置文档中内容示例如下:Among them, "Alphantom.dat" is the material configuration file, and "ActivityRange.dat" is the activity configuration file. An example of the content in the configuration document is as follows:
“Alphantom.dat”"Alphantom.dat"
2 #材料种类2 #Material type
0~5Aluminium #灰度值在[0,5]的材料,材料数据库中已经定义好0~5Aluminium #The material whose gray value is in [0,5] has been defined in the material database
200~255Water #灰度值在[200,255]的材料,材料数据库中已经定义好200~255Water #The material whose gray value is in [200,255] has been defined in the material database
“ActivityRange.dat”"ActivityRange.dat"
2 #核素值数目2 # Number of nuclide values
0~5 0 #灰度值在[0,5]像素的活度为00~5 0 #The activity of the grayscale value in [0,5] pixel is 0
200~255 2000.Bq #灰度值在[200,225]像素的活度为2000Bq200~255 2000.Bq #The activity of the gray value in [200,225] pixel is 2000Bq
(3)设置传感器参数,包括传感器内部晶体条尺寸、阵列方式及数目。如图4(a),本例中晶体传感器M0内部阵列为6*16,其中y方向数目为6,z方向数目为16,图4(b)所示,考虑间隙晶体条底面宽度均为2.15mm,x方向为晶体条的长度,可取15mm~20mm,与x轴正向垂直并相交于晶体阵列中心p点。图4中,晶体传感器模块M,单晶体条c,晶体条系统编号c0~c95。(3) Set the parameters of the sensor, including the size, array mode and number of crystal strips inside the sensor. As shown in Figure 4(a), the internal array of the crystal sensor M0 in this example is 6*16, of which the number in the y direction is 6, and the number in the z direction is 16. mm, the x direction is the length of the crystal strip, which may be 15 mm to 20 mm, perpendicular to the positive direction of the x axis and intersecting at point p in the center of the crystal array. In FIG. 4 , the crystal sensor module M, the single crystal strip c, and the system numbers of the crystal strips are c0-c95.
针对传感器M0内部晶体阵列编号规则,如图4(b)所示,c0~c95为晶体条系统编号0~95,晶体条编号沿着y轴(规定此方向为列)正向和z轴(规定此方向为行)正向增加,且先y方向递增再z方向递增,与M0类似,M1~M11内部晶体条编号从z轴负方向看先在列方向以顺时针递增,再往z轴正向增加。For the numbering rules of the internal crystal array of the sensor M0, as shown in Figure 4(b), c0~c95 are crystal strip system numbers 0~95, and the crystal strip numbers are along the positive direction of the y-axis (this direction is specified as a column) and the z-axis ( It is stipulated that this direction is the row) increasing in the positive direction, and increasing first in the y direction and then in the z direction. Similar to M0, the internal crystal bar numbers of M1~M11 are seen from the negative direction of the z axis, first increase clockwise in the column direction, and then go to the z axis Positive increase.
(4)根据晶体传感器尺寸与对数求解探测器旋转参数,得到单次旋转角度即步进角。在探测器数目较少情况下,为了降低响应线角度的不完备性,以传感器内部单根晶体条对应的圆心角α为最小步进值,根据不同成像分辨率要求,可以选择1~4倍的α为步进值,α较大时可以在满足图像质量的前提下缩短扫描时间。其中根据探测环大小、晶体传感器规格计算出旋转角度,若探测环直径为D毫米,单个晶体条宽度为w毫米,则通过近似计算,可得到单个晶体条对应的圆心角:(4) Solve the rotation parameters of the detector according to the size and logarithm of the crystal sensor, and obtain a single rotation angle, that is, the step angle. In the case of a small number of detectors, in order to reduce the incompleteness of the response line angle, the minimum step value is the central angle α corresponding to a single crystal strip inside the sensor. According to different imaging resolution requirements, you can choose 1 to 4 times α is a step value, and when α is larger, the scanning time can be shortened under the premise of satisfying the image quality. The rotation angle is calculated according to the size of the detection ring and the specifications of the crystal sensor. If the diameter of the detection ring is D millimeters and the width of a single crystal strip is w millimeters, the central angle corresponding to a single crystal strip can be obtained by approximate calculation:
通过成像精度和总体扫描时间限制要求选择单次旋转的晶体条数为β,则单次旋转角为According to the limitation of imaging accuracy and overall scanning time, the number of crystals for a single rotation is required to be β, and the single rotation angle is
θn=βα° (2) θn = βα° (2)
为了防止响应线缺失过多,1≤β≤4。In order to prevent too many missing response lines, 1≤β≤4.
其中根据晶体传感器对数和旋转步进角计算出旋转次数,若现有N对传感器且等间隔分布在环上,旋转角为上述的θn,则旋转次数Among them, the number of rotations is calculated according to the logarithm of the crystal sensor and the rotation step angle. If there are N pairs of sensors distributed on the ring at equal intervals, and the rotation angle is the above-mentioned θ n , then the number of rotations
特殊情况当N对传感器组成一个完整探测环时,则M=0。Special case When N pairs of sensors form a complete detection ring, then M=0.
由步骤(3)中参数可知,本实施例中w=2.15mm,取D=100mm,N=6,选择β=3,则根据式(1)、式(2)可得单次旋转角度θn=7.5°,根据式(3)求得旋转次数M=4。From the parameters in step (3), it can be seen that in this embodiment, w=2.15mm, D=100mm, N=6, and β=3, then a single rotation angle θ can be obtained according to formula (1) and formula (2) n = 7.5°, the number of rotations M = 4 is obtained according to formula (3).
(5)模数转换电路参数、粒子相互作用、输出文件格式三个部分参数需分别根据实际硬件性能或拟设计探测器性能指标来模拟,是否研究散射等问题,数据处理手段进行设置。本例中选用的某晶体传感器能量分辨率约为15%,硬件电路时间分辨率600ps,符合时间窗和能量窗分别为10ns,350Kev~650Kev,则可据此设置相关仿真参数;硬件要求旋转扫描总时间,是否研究散射问题,数据存储工具等均决定了仿真过程的粒子相互作用及输出格式设置,本例中主要设置了正电子湮灭、光电效应、康普顿散射效应、瑞利散射等,仅输出符合事件且格式为ROOT格式。(5) The parameters of the analog-to-digital conversion circuit, particle interaction, and output file format need to be simulated according to the actual hardware performance or the performance index of the proposed detector, whether to study scattering and other issues, and set the data processing means. The energy resolution of a crystal sensor selected in this example is about 15%, the time resolution of the hardware circuit is 600ps, and the time window and energy window are respectively 10ns, 350Kev~650Kev, and the relevant simulation parameters can be set accordingly; the hardware requires rotation scanning The total time, whether to study scattering problems, data storage tools, etc. all determine the particle interaction and output format settings in the simulation process. In this example, positron annihilation, photoelectric effect, Compton scattering effect, Rayleigh scattering, etc. are mainly set. Only output matches events and are in ROOT format.
(6)设置探测器起始扫描时间,时间片段以及总体扫描时间。仿真起始时间设置为Tstart,时间片段由探测器在每个位置的扫描时间Tslice决定,总体扫描时间Ttotal由探测器旋转的次数M决定,满足式(4):(6) Set the detector start scan time, time segment and overall scan time. The start time of the simulation is set to T start , the time segment is determined by the scanning time T slice of the detector at each position, and the overall scanning time T total is determined by the number of rotations M of the detector, which satisfies formula (4):
Ttotal=M*Tslice (4)T total = M*T slice (4)
在实际情况中扫描起始时间一般设置为0,本实施例中时间片段Tslice设为10s,已知旋转次数为4,则根据式(4)可确定Ttotal为40s,据此对仿真时间相关参数进行设置。In the actual situation, the scan start time is generally set to 0. In this embodiment, the time segment T slice is set to 10s, and the number of rotations is known to be 4. Then according to formula (4), it can be determined that T total is 40s, and the simulation time is determined accordingly. Set related parameters.
(7)确定仿真阶段探测器初始位置,根据Tslice进行扫描,完成该位置扫描后对探测器进行旋转并完成下一次扫描,直到总体扫描时间达到设定值停止仿真。如图5所示,四种旋转位置下的探测环R0~R3,(a)为仿真模型初始状态R0,当完成R0仿真后,在下个时间片的起始阶段,以旋转角7.5°对模型R0进行旋转得到模型R1,按时间片Tslice进行扫描,紧接着以同样步骤旋转得到R2、R3,直至总体扫描时间达到预设值的40s时停止仿真。(7) Determine the initial position of the detector in the simulation stage, scan according to the T slice , rotate the detector after completing the position scan and complete the next scan, and stop the simulation until the overall scan time reaches the set value. As shown in Figure 5, the detection rings R0~R3 under four rotation positions, (a) is the initial state R0 of the simulation model. Rotate R0 to obtain model R1, scan according to the time slice T slice , and then rotate in the same steps to obtain R2 and R3, and stop the simulation until the overall scanning time reaches the preset value of 40s.
(8)完成扫描后,仿真得到的结果为大量符合事件数据,符合事件数据中包括了接收到γ光子的能量、时间、晶体条编号信息,响应线为两个几乎同时接收到γ光子的晶体条的连线。提取符合事件中的晶体条编号数据,按照旋转角度位置进行编号修正、最后重组得到正弦图。考虑原有单切片重组算法,根据晶体传感器编号M和晶体条编号c确定符合事件的符合事件在单层圆环上的位置,如图5,在旋转采集后原有的M0的相同晶体编号会在圆环上多个位置出现,此时便无法根据编号唯一定位。图6(a)中,晶体传感器M0在旋转后,晶体条编号c0~c5重复出现在圆周的多个位置。(8) After the scan is completed, the result obtained from the simulation is a large amount of coincident event data, which includes the energy, time, and crystal number information of the received gamma photons, and the response line is two crystals that received gamma photons almost at the same time strip connection. Extract the number data of the crystal bar in the coincidence event, correct the number according to the rotation angle position, and finally reorganize to obtain the sinogram. Considering the original single-slice reorganization algorithm, determine the position of the coincident event on the single-layer ring according to the crystal sensor number M and the crystal bar number c, as shown in Figure 5, after the rotation acquisition, the same crystal number of the original M0 will be Appears in multiple positions on the ring, and at this time it cannot be uniquely positioned based on the number. In FIG. 6( a ), after the crystal sensor M0 is rotated, the numbers c0 to c5 of the crystal bars appear repeatedly at multiple positions on the circumference.
本发明通过建立一个内径也为D毫米的完整圆环,圆环上晶体条之间紧密相连且尺寸也与非完备探测器环上的晶体条尺寸一致,其起始位置晶体条编号为0,从z轴负向看顺时针按编号递增进行虚拟编号。将6(a)中R1_M0、R2_M0、R3_M0中的传感器晶体条编号映射到6(b)中VR1_M0、VR2_M0、VR3_M0传感器晶体条编号,采用了近似方法,将圆环上的晶体条编号与位置一一对应起来。图6中,R0_M0,R1_M0,R2_M0,R3_M0分别为四种旋转位置下的传感器模块M0,VR0_M0,VR1_M0,R2_M0,R3_M0分别为四种旋转位置下的晶体编号修正后的传感器模块M0。The present invention establishes a complete ring with an inner diameter of D mm, the crystal bars on the ring are closely connected and the size is consistent with the size of the crystal bars on the incomplete detector ring, and the number of the crystal bars at the starting position is 0. From the negative direction of the z-axis, virtual numbering is performed clockwise in increments. Map the sensor crystal bar numbers in R1_M0, R2_M0, and R3_M0 in 6(a) to the sensor crystal bar numbers in VR1_M0, VR2_M0, and VR3_M0 in 6(b), and use an approximate method to align the crystal bar numbers and positions on the ring Match them one by one. In Fig. 6, R0_M0, R1_M0, R2_M0, and R3_M0 are the sensor module M0 in the four rotation positions respectively, and VR0_M0, VR1_M0, R2_M0, R3_M0 are the sensor module M0 in the four rotation positions after correcting the crystal numbers.
(9)同理,晶体传感器M1~M11,晶体条c6~c95也可以采用同样的映射关系一一对应起来。得到每次旋转后的映射关系后,将多次旋转扫描的符合事件数据修正,叠加重组便可以得到正弦图。图7(a)为完整圆环下单次扫描重组后的正弦图,图7(b)为实施例1单次扫描重组后的正弦图,图7(c)为实施例1采用编号修正重组算法得到的正弦图,可见(c)与(a)效果更为接近,(b)图中由于是不完备采集,丢失了很多响应线。(9) Similarly, the crystal sensors M1-M11 and the crystal bars c6-c95 can also be mapped one-to-one by using the same mapping relationship. After the mapping relationship after each rotation is obtained, the coincident event data of multiple rotation scans are corrected, superimposed and reorganized to obtain the sinogram. Figure 7(a) is the sinogram after a single scan recombination under a complete circle, Figure 7(b) is the sinogram after a single scan recombination in Example 1, and Figure 7(c) is the recombination using numbering correction in Example 1 The sine diagram obtained by the algorithm, it can be seen that the effect of (c) and (a) is closer, and in (b) because of incomplete collection, many response lines are lost.
实施例2Example 2
在具体实施过程中,PET探测环中的晶体传感器对数还可以是其他数目,探测器孔径、晶体条尺寸也可以根据需求而定。本实施例与实施例1相较,主要体现的是该仿真方法在传感器对数,探测器环孔径、晶体条尺寸不同情况下,仿真过程旋转参数的计算,具体仿真方法步骤如下:In the specific implementation process, the number of crystal sensor pairs in the PET detection ring can also be other numbers, and the detector aperture and crystal strip size can also be determined according to requirements. Compared with Embodiment 1, this embodiment mainly embodies the calculation of the rotation parameters of the simulation process under the situation of different sensor logarithms, detector ring apertures, and crystal strip sizes. The specific simulation method steps are as follows:
(1)在仿真平台上建立PET探测器模型,传感器对数有多种选择,且等间隔分布。如图2(b)所示,非完备探测环T2,晶体传感器模块M0~M11;在GATE仿真平台建立一个三维坐标系,此坐标系有助于后续探测器、放射源的空间位置调整,生成探测器模型也在此坐标系中显示。图2(b)为一个4对晶体传感器M组成的PET探测器模型,晶体传感器M0~M11等间隔分布在一个内径为100mm的环上,且环所在面与xOy平面平行,其中M0为起始传感器编号,从z轴负方向看,传感器系统编号由M0~M11顺时针递增。(1) The PET detector model is established on the simulation platform. There are multiple choices for the number of sensor pairs, and they are distributed at equal intervals. As shown in Fig. 2(b), incomplete detection ring T2, crystal sensor modules M0-M11; establish a three-dimensional coordinate system on the GATE simulation platform, this coordinate system is helpful for the subsequent spatial position adjustment of detectors and radioactive sources, generating The detector model is also shown in this coordinate system. Figure 2(b) is a PET detector model composed of 4 pairs of crystal sensors M. The crystal sensors M0~M11 are equally spaced on a ring with an inner diameter of 100mm, and the plane where the ring is located is parallel to the xOy plane, where M0 is the starting point The sensor number, viewed from the negative direction of the z-axis, the sensor system number increases clockwise from M0 to M11.
步骤(2)所建立的放射源模型与实施例1中相同,步骤一致。The radioactive source model established in step (2) is the same as that in Example 1, and the steps are consistent.
(3)设置传感器参数,包括传感器内部晶体条尺寸、阵列方式及数目。本例中晶体传感器M0内部阵列依然如图4(a),为6*16,其中y方向数目为6,z方向数目为16,与图4(b)不同的是,考虑间隙晶体条底面宽度均为3.15mm,x方向为晶体条的长度,可取15mm~20mm,与x轴正向垂直并相交于晶体阵列中心p点。图4中,晶体传感器模块M,单晶体条c,晶体条系统编号c0~c95;(3) Set the parameters of the sensor, including the size, array mode and number of crystal strips inside the sensor. In this example, the internal array of the crystal sensor M0 is still as shown in Figure 4(a), which is 6*16, where the number in the y direction is 6, and the number in the z direction is 16. The difference from Figure 4(b) is that the width of the bottom surface of the gap crystal strip is considered Both are 3.15mm, and the x direction is the length of the crystal strip, preferably 15mm to 20mm, perpendicular to the positive direction of the x axis and intersecting at point p in the center of the crystal array. In Fig. 4, crystal sensor module M, single crystal strip c, crystal strip system numbers c0-c95;
针对传感器M0内部晶体阵列编号规则,如图4(b)所示,c0~c95为晶体条系统编号0~95,晶体条编号沿着y轴(规定此方向为列)正向和z轴(规定此方向为行)正向增加,且先y方向再z方向,与M0类似,M1~M7内部晶体条编号从z轴负方向看先在列方向以顺时针递增,再往z轴正向增加。For the numbering rules of the internal crystal array of the sensor M0, as shown in Figure 4(b), c0~c95 are crystal strip system numbers 0~95, and the crystal strip numbers are along the positive direction of the y-axis (this direction is specified as a column) and the z-axis ( It is stipulated that this direction is the row) increasing in the positive direction, and first the y direction and then the z direction, similar to M0, the internal crystal bar number of M1~M7 is viewed from the negative direction of the z-axis, first increases clockwise in the column direction, and then goes to the positive direction of the z-axis Increase.
(4)根据晶体传感器尺寸求解探测器旋转参数,得到单次旋转角度即步进角。PET探测器模型由4对晶体传感器M组成,探测孔径D为200mm,晶体条宽度w为3.15mm,若希望响应线的不完备性越小,则β应该取得越小,本例β取2,根据实施例1中步骤(4)的计算公式,可求得则单次旋转角度θn=βα°=3.6°。(4) Solve the rotation parameters of the detector according to the size of the crystal sensor to obtain a single rotation angle, that is, the step angle. The PET detector model is composed of 4 pairs of crystal sensors M, the detection aperture D is 200mm, and the crystal strip width w is 3.15mm. If the incompleteness of the response line is expected to be smaller, the smaller the β should be, in this case β is 2, According to the calculation formula of step (4) in embodiment 1, can obtain Then the single rotation angle θ n =βα°=3.6°.
根据晶体传感器对数及步进角计算探测环总的旋转采集次数。根据实施例1中步骤(4)的计算公式(3)求得旋转次数不难得出这样的关系:传感器数目,单次旋转角度均与旋转采集次数成反比。Calculate the total rotation acquisition times of the detection ring according to the logarithm of the crystal sensor and the step angle. According to the calculation formula (3) of step (4) in embodiment 1, obtain the number of rotations It is not difficult to draw such a relationship: the number of sensors and the single rotation angle are inversely proportional to the number of rotation acquisitions.
步骤(5)与实施例1相同。Step (5) is the same as in Example 1.
(6)本实施例中时间片段Tslice依然设为10s,已知旋转次数为12,根据实施例1中计算式(4)可得Ttotal为120s,据此对仿真时间相关参数进行设置。(6) In this embodiment, the time segment T slice is still set to 10s, and the number of rotations is known to be 12. According to the calculation formula (4) in Embodiment 1, T total can be obtained as 120s, and the parameters related to the simulation time are set accordingly.
(7)确定仿真阶段探测器初始位置,根据Tslice进行扫描,完成该位置扫描后对探测器进行旋转并完成下一次扫描,直到总体扫描时间达到设定值停止仿真。如图2(b)所示,仿真模型初始状态为x轴穿过传感器M0中心,当以Tslice完成初始位置扫描后,在下个时间片的起始阶段,以旋转角3.6°对模型进行旋转按时间片Tslice进行扫描,紧接着以同样步骤旋转直至总体扫描时间达到预设值的120s时停止仿真。(7) Determine the initial position of the detector in the simulation stage, scan according to the T slice , rotate the detector after completing the position scan and complete the next scan, and stop the simulation until the overall scan time reaches the set value. As shown in Figure 2(b), the initial state of the simulation model is that the x-axis passes through the center of the sensor M0. After the initial position scanning is completed with T slice , the model is rotated at a rotation angle of 3.6° at the beginning of the next time slice. Scan according to the time slice T slice , and then rotate in the same steps until the overall scanning time reaches the preset value of 120s to stop the simulation.
步骤(8)、(9)将采用实施例1中相同的虚拟圆环编号对采集到的符合数据进行角度修正,区别仅为旋转次数增加,重叠的晶体条数目由3根变为2根,仍采用图6中类似的映射关系进行修正,其中R0_M0的c2,c3将与单次旋转后R1_M0的c0,c1重合,需要将VR1_M0的晶体编号修正为c2,c3,c4,c5,c6,c7,其余的晶体条也进行类似修正即可。Steps (8), (9) will use the same virtual ring number in Example 1 to correct the angle of the collected coincident data, the difference is only the increase in the number of rotations, and the number of overlapping crystal strips is changed from 3 to 2. Still use the similar mapping relationship in Figure 6 for correction, where c2, c3 of R0_M0 will coincide with c0, c1 of R1_M0 after a single rotation, and the crystal numbers of VR1_M0 need to be corrected to c2, c3, c4, c5, c6, c7 , and the rest of the crystal strips can be similarly corrected.
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