CN100453044C - CT beam hardening correction method based on original projected sinogram - Google Patents

CT beam hardening correction method based on original projected sinogram Download PDF

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CN100453044C
CN100453044C CNB2004100098006A CN200410009800A CN100453044C CN 100453044 C CN100453044 C CN 100453044C CN B2004100098006 A CNB2004100098006 A CN B2004100098006A CN 200410009800 A CN200410009800 A CN 200410009800A CN 100453044 C CN100453044 C CN 100453044C
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傅健
路宏年
张全红
黄琼
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Beihang University
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Abstract

基于原始投影正弦图的CT射束硬化校正方法,步骤为:(1)进行三代CT扫描,获得排列成矩阵的原始投影正弦图;(2)进行原始投影正弦图的暗电流和不一致性校正;(3)搜索步骤(2)获得的投影正弦图中每一行像素投影值的最小值;(4)确定一组小于1的正实数校正系数;(5)将步骤(2)获得的投影正弦图每一行像素的投影值,减去步骤(3)获得的对应行最小值与步骤(4)获得的对应行校正系数的乘积,完成所有行投影射束硬化校正;(6)将校正后投影正弦图送入CT重建动态库。本发明不需要事先进行建模扫描和计算,不受扫描对象和扫描条件限制,校正程序简单、实时,不需要特定校正硬件。

Figure 200410009800

The CT beam hardening correction method based on the original projected sinogram, the steps are: (1) perform three generations of CT scans to obtain the original projected sinogram arranged in a matrix; (2) perform dark current and inconsistency correction on the original projected sinogram; (3) the minimum value of each row of pixel projection values in the projection sinogram that search step (2) obtains; (4) determine a group of positive real number correction coefficients less than 1; (5) use the projection sinogram that step (2) obtains The projection value of each row of pixels is subtracted from the product of the corresponding row minimum value obtained in step (3) and the corresponding row correction coefficient obtained in step (4) to complete the beam hardening correction of all row projections; (6) project the sine The image is sent to the CT reconstruction dynamic library. The invention does not need to perform modeling scanning and calculation in advance, is not limited by scanning objects and scanning conditions, and has a simple and real-time correction program without specific correction hardware.

Figure 200410009800

Description

基于原始投影正弦图的CT射束硬化校正方法 CT beam hardening correction method based on original projected sinogram

技术领域 technical field

本发明涉及一种CT射束硬化校正方法,特别是基于原始投影正弦图的CT射束硬化校正方法,属于CT技术领域。The invention relates to a CT beam hardening correction method, in particular to a CT beam hardening correction method based on an original projected sinogram, and belongs to the CT technical field.

背景技术 Background technique

在X射线CT系统中,X射线源发出X射线,从不同角度穿过被检测物体的某一横截面,放置于射线源对面的探测器在相应角度接受,然后根据各角度射线不同程度的衰减,利用一定的重建算法和计算机进行运算,重建出物体被检测截面的射线线衰减系数分布映射图像,从而实现由投影重建图像,无损地再现物体在该截面内的介质密度、成分和结构形态等特征。In the X-ray CT system, the X-ray source emits X-rays, which pass through a certain cross-section of the detected object from different angles, and the detector placed opposite the ray source receives them at corresponding angles, and then attenuates the rays to different degrees according to each angle. , using a certain reconstruction algorithm and computer operations to reconstruct the ray attenuation coefficient distribution mapping image of the detected section of the object, so as to realize the reconstruction of the image by projection and non-destructively reproduce the medium density, composition and structural shape of the object in the section. feature.

CT重建算法假设X射线源发出的是单能谱X射线束。实际CT系统具有多色能谱X射线束,这个假设得不到满足。当多色X射线束与物质相互作用时,较低能量的X射线光子优先被物质吸收,较高能量的光子衰减较小,随着透照厚度的增加,射束有效能量向高能量方向移动,射束变得更难衰减,更“硬”,这就是射束硬化。射束硬化给CT重建带来严重问题。利用基于单色射线假设的重建算法,重建得到的物体线衰减系数比实际值小,重建图像会产生黑心伪影(也称为杯状伪影)。这些伪迹在医学上,经常导致肿瘤等病变组织漏诊;在工业上,则将细微裂纹、疏松等缺陷掩盖起来。The CT reconstruction algorithm assumes that the X-ray source emits a single-energy X-ray beam. Real CT systems have polychromatic X-ray beams, and this assumption is not satisfied. When a polychromatic X-ray beam interacts with matter, the lower-energy X-ray photons are preferentially absorbed by the matter, and the higher-energy photons are less attenuated. As the transillumination thickness increases, the effective energy of the beam moves to the direction of higher energy. , the beam becomes harder to attenuate and "harder", this is beam hardening. Beam hardening poses serious problems for CT reconstruction. Using the reconstruction algorithm based on the monochromatic ray assumption, the reconstructed object line attenuation coefficient is smaller than the actual value, and the reconstructed image will produce black center artifacts (also known as cup artifacts). In medicine, these artifacts often lead to missed diagnosis of diseased tissues such as tumors; in industry, they cover up defects such as tiny cracks and looseness.

抑制硬化伪影的方法,称为射束硬化校正方法。射束硬化校正自1975年以来一直是国际CT成像领域的研究热点。目前,校正方法主要分为单能和双能两大类。双能法以康普顿散射、光电效应和断面物质分布函数来表示线衰减系数,以两次不同能量下的多色投影来估计单色投影,进而达到校正的目的。由于在操作上的复杂性,这种方法在工程实践中很少被采用。单能法只需一次物体扫描,易于实现,实际应用效果也比较好,因此得到了广泛的研究。A method for suppressing hardening artifacts is called a beam hardening correction method. Beam hardening correction has been a research hotspot in the field of international CT imaging since 1975. At present, the calibration methods are mainly divided into two categories: single-energy and dual-energy. In the dual-energy method, the linear attenuation coefficient is represented by Compton scattering, photoelectric effect and cross-sectional material distribution function, and the monochromatic projection is estimated by two polychromatic projections under different energies, so as to achieve the purpose of correction. Due to the operational complexity, this method is rarely used in engineering practice. The single-energy method only needs to scan the object once, is easy to realize, and has better practical application effect, so it has been extensively studied.

单能法根据处理顺序的不同,分为前处理和后处理两类。前处理方法直接对原始投影正弦图做校正,然后再利用单色重建算法进行重建;后处理方法则首先利用单色重建算法对原始投影正弦图进行重建,然后再对重建得到的图像进行硬化校正。Single-energy methods can be divided into pre-processing and post-processing according to the different processing sequences. The pre-processing method directly corrects the original projected sinogram, and then uses the monochrome reconstruction algorithm to reconstruct it; the post-processing method first uses the monochrome reconstruction algorithm to reconstruct the original projected sinogram, and then performs hardening correction on the reconstructed image .

后处理校正方法的基本路线是:根据一定的准则,对重建得到的图像进行阈值分割,确定会发生硬化的扫描角度和区域;然后,在上述扫描角度和区域,利用重投影技术,生成无硬化投影,取代原始投影正弦图对应数据;最后,再利用单色重建算法对校正后投影正弦图进行重建。后处理方法存在计算耗时,图像信息损失等缺点,虽然国际上出现了许多后处理方法,但真正能为实际应用的还应考虑前处理方法。The basic route of the post-processing correction method is: according to certain criteria, perform threshold segmentation on the reconstructed image to determine the scanning angle and area where hardening will occur; then, at the above scanning angle and area, use reprojection technology to generate a projection to replace the corresponding data of the original projected sinogram; finally, the corrected projected sinogram is reconstructed using a monochromatic reconstruction algorithm. Post-processing methods have disadvantages such as time-consuming calculation and loss of image information. Although many post-processing methods have appeared in the world, pre-processing methods should also be considered for practical applications.

前处理方法通常路线是:通过扫描一些特殊模体,建立针对某种检测对象的硬化曲线;根据一定准则计算校正函数;根据该函数对投影正弦图进行调整,完成硬化校正。杨民等,CT重构中射线硬化的校正研究,光学技术,2003,Vol.29(2):177-182.中提出的拟合法是典型的前处理射束硬化方法,其校正思路是:在某一检测条件下,以多色射束对不同厚度的同种材质进行透照,建立多色射束透照数据与透照厚度的关系曲线,再对该曲线进行拟合,然后从坐标原点对该曲线做切线,以该切线作为单色射束透照数据与透照厚度厚度的关系,从而建立实际多色射束数据与单色射束数据的校正关系。在一定条件下,这种方法对单种物质构成的物体能产生较好的校正效果,但它存在如下缺陷:(1)校正程序烦琐,针对不同扫描对象,需要单独进行建模扫描和计算;(2)校正模型有效性依赖于扫描条件,条件改变,需要重新进行建模扫描和计算;(3)校正模型受噪声影响,校正后图像信噪比下降;(4)被校正图像必须由单种物质构成。The general route of the pre-processing method is: establish a hardening curve for a certain detection object by scanning some special phantoms; calculate the correction function according to a certain criterion; adjust the projected sinogram according to the function to complete the hardening correction. The fitting method proposed in Yang Min et al., Research on Correction of Radiation Hardening in CT Reconstruction, Optical Technology, 2003, Vol.29(2): 177-182. is a typical preprocessing beam hardening method, and its correction idea is: Under a certain detection condition, the multicolor beam is used to transilluminate the same material with different thicknesses, and the relationship curve between the multicolor beam transillumination data and the transillumination thickness is established, and then the curve is fitted, and then from the coordinates A tangent is made to the curve at the origin, and the tangent is used as the relationship between the monochromatic beam transillumination data and the transillumination thickness, so as to establish the correction relationship between the actual polychromatic beam data and the monochromatic beam data. Under certain conditions, this method can produce a good correction effect on objects composed of a single material, but it has the following defects: (1) The correction procedure is cumbersome, and it needs to be modeled, scanned and calculated separately for different scanning objects; (2) The validity of the correction model depends on the scanning conditions. If the conditions change, the modeling scan and calculation need to be re-executed; (3) The correction model is affected by noise, and the signal-to-noise ratio of the corrected image decreases; (4) The corrected image must be scanned by a single material composition.

发明内容Contents of the invention

本发明的技术解决问题是:针对目前射束硬化校正方法存在的上述缺点,提供一种基于原始投影正弦图的CT射束硬化校正方法,该方法属于透射型X射线第三代CT的射束硬化校正方法,这种方法校正质量高,不需要事先进行建模扫描和计算,不受扫描对象和扫描条件限制,且校正程序简单、实时,不需要特定的校正硬件。The technical problem to be solved by the present invention is to provide a CT beam hardening correction method based on the original projection sinogram, which belongs to the beam of the third generation of transmission X-ray CT, aiming at the above-mentioned shortcomings existing in the current beam hardening correction method. Hardening correction method, this method has high correction quality, does not need modeling scanning and calculation in advance, is not limited by scanning objects and scanning conditions, and the correction procedure is simple and real-time, and does not require specific correction hardware.

本发明的技术解决方案:基于原始投影正弦图的CT射束硬化校正方法,其特点在于包括以下步骤:The technical solution of the present invention: the CT beam hardening correction method based on the original projected sinogram, is characterized in that it comprises the following steps:

(1)进行三代CT扫描,获得排列成矩阵的原始投影正弦图;(1) Perform three generations of CT scans to obtain the original projection sinograms arranged in a matrix;

(2)进行原始投影正弦图的暗电流和不一致性校正;(2) Perform dark current and inconsistency correction of the original projected sinogram;

(3)搜索投影正弦图每一行像素投影值的最小值;(3) search for the minimum value of the pixel projection value of each row of the projected sinogram;

(4)确定一组小于1的正实数校正系数;(4) determine a group of positive real number correction coefficients less than 1;

(5)将投影正弦图每一行像素的投影值,减去步骤(3)获得的对应行最小值与步骤(4)获得的对应行校正系数的乘积,完成所有行投影射束硬化校正;(5) Subtract the product of the corresponding row minimum value obtained in step (3) and the corresponding row correction coefficient obtained in step (4) from the projection value of each row of pixels of the projected sinogram, and complete all row projection beam hardening corrections;

(6)将校正后投影正弦图送入CT重建动态库。(6) Send the corrected projected sinogram into the CT reconstruction dynamic library.

本发明的原理是基于下列三个物理事实和两个数学定理:The principle of the present invention is based on the following three physical facts and two mathematical theorems:

物理事实1:当发生射束硬化时,在第i个投影角度,探测器j采集的经过物体衰减后射线的强度I2(i,j)大于理想强度I1(i,j)。用于重建的(I0(i)/I2(i,j))将小于真实的(I0(i)/I1(i,j))。其中,I0(i)表示第i个投影角度,无衰减射线强度。Physical fact 1: When beam hardening occurs, at the i-th projection angle, the intensity I 2 (i, j) of the ray collected by the detector j after being attenuated by the object is greater than the ideal intensity I 1 (i, j). The (I 0 (i)/I 2 (i,j)) used for reconstruction will be smaller than the true (I 0 (i)/I 1 (i,j)). Wherein, I 0 (i) represents the i-th projection angle without attenuating ray intensity.

物理事实2:当发生射束硬化时,射束穿过物体路径越长,硬化越严重,探测器接受的射线强度偏离理想强度越多。可用数学式子表示为:Physical fact 2: When beam hardening occurs, the longer the beam passes through the object, the more severe the hardening, and the more the radiation intensity received by the detector deviates from the ideal intensity. It can be expressed mathematically as:

I21(i,j)/I22(i,j)>I11(i,j)/I12(i,j)I 21 (i, j)/I 22 (i, j)>I 11 (i, j)/I 12 (i, j)

Figure C20041000980000071
I11(i,j)为穿过物体路径较短时,探测器接受的理想射线强度;
Figure C20041000980000071
I 11 (i, j) is the ideal ray intensity received by the detector when the path through the object is short;

I21(i,j)为穿过物体路径较长时,探测器接受的理想射线强度;I 21 (i, j) is the ideal ray intensity received by the detector when the path through the object is long;

I12(i,j)为穿过物体路径较短时,探测器接受的实际射线强度;I 12 (i, j) is the actual ray intensity received by the detector when the path through the object is short;

I22(i,j)为穿过物体路径较长时,探测器接受的实际射线强度;I 22 (i, j) is the actual ray intensity received by the detector when the path through the object is long;

物理事实3:同一物体断面,在不同扫描角度下,其对射线的衰减总量相同。可用数学式子表示为:Physical fact 3: The same object section has the same amount of attenuation of rays under different scanning angles. It can be expressed mathematically as:

ΣΣ jj == 11 NN II (( 11 ,, jj )) == ΣΣ jj == 11 NN II (( 22 ,, jj )) == ΣΣ jj == 11 NN II (( 33 ,, jj )) == .. .. .. == ΣΣ jj == 11 NN II (( Mm ,, jj ))

Figure C20041000980000082
I(i,j)为第i个扫描角度,探测器j接受的射线强度;
Figure C20041000980000082
I(i, j) is the i-th scanning angle, the ray intensity received by detector j;

N为探测器的个数;M为扫描角度分度数。N is the number of detectors; M is the number of scanning angle divisions.

数学定理1:设A、B,C∈R+,且A>B>(C+1)>1,则存在如下关系:((A-C)/(B-C))>(A/B)。Mathematical theorem 1: Suppose A, B, C∈R + , and A>B>(C+1)>1, then there is the following relationship: ((AC)/(BC))>(A/B).

证明:由假设有AC>BC,所以,-AC<-BC,所以,AB-AC<AB-BC,Proof: By assuming AC>BC, therefore, -AC<-BC, therefore, AB-AC<AB-BC,

所以A(B-C)<B(A-C),所以,有A/B<(A-C)/(B-C);So A(B-C)<B(A-C), therefore, A/B<(A-C)/(B-C);

结论得证。The conclusion is proven.

数学定理2:设A、B,C,D∈R+,且A>B>(C+1)>1,B<D,则存在如下关系:((A-C)/(B-C))/(A/B)>((A-C)/(D-C))/(A/D)。Mathematical theorem 2: Suppose A, B, C, D∈R+, and A>B>(C+1)>1, B<D, then there is the following relationship: ((A-C)/(B-C))/(A/ B)>((A-C)/(D-C))/(A/D).

证明:由假设有DC>BC,所以,-DC<-BC,所以,BD-BC>BD-CD,Proof: By assuming that DC>BC, so, -DC<-BC, so, BD-BC>BD-CD,

所以AB(D-C)>AD(B-C),所以,有B/A(B-C)>D/A(D-C)So AB(D-C)>AD(B-C), therefore, there is B/A(B-C)>D/A(D-C)

所以,((A-C)/(B-C))/(A/B)>((A-C)/(D-C))/(A/D);So, ((A-C)/(B-C))/(A/B)>((A-C)/(D-C))/(A/D);

结论得证。The conclusion is proven.

分析上述物理事实和数学定理可知:将上述定理中的A、B、D视为实际投影中的I0(i)、I22(i,j)、I12(i,j),C视为一个与原始投影相关的校正值,则数学定理1、2正好校正物理事实1、2导致的硬化现象。所以,将实际硬化投影减去一个与原始投影相关的值,就可以较好的逼近理想投影值。据此认识,提出本发明校正方法如下:Analyzing the above physical facts and mathematical theorems, it can be seen that A, B, and D in the above theorems are regarded as I 0 (i), I 22 (i, j), and I 12 (i, j) in the actual projection, and C is regarded as A correction value related to the original projection, then the mathematical theorem 1, 2 just corrects the hardening phenomenon caused by the physical fact 1, 2. Therefore, subtracting a value related to the original projection from the actual hardened projection can better approximate the ideal projection value. According to this understanding, propose the correction method of the present invention as follows:

IC(i,j)=IO(i,j)-K(i)×min(IO(i,j))I C (i, j) = I O (i, j) - K (i) × min (I O (i, j))

其中,IO(i,j)表示硬化校正前,第i个扫描角度下,第j个探测器采集的射线强度信号;Wherein, I O (i, j) represents the ray intensity signal collected by the jth detector under the ith scanning angle before hardening correction;

IC(i,j)表示硬化校正后,第i个扫描角度下,第j个探测器采集的射线强度信号;I C (i, j) represents the ray intensity signal collected by the jth detector at the ith scanning angle after hardening correction;

K(i)表示第i个扫描角度下,硬化校正系数;min()表示对一维投影序列取最小值。K(i) represents the hardening correction coefficient at the i-th scanning angle; min() represents the minimum value for the one-dimensional projection sequence.

根据物理事实3确定K(i),方法如下:Determine K(i) according to physical fact 3, as follows:

KK (( ii )) == CC &times;&times; &Sigma;&Sigma; jj == 11 NN II Oo (( ii ,, jj )) // maxmax (( SS )) SS (( ii )) == &Sigma;&Sigma; jj == 11 NN II Oo (( ii ,, jj ))

其中,IO(i,j)表示硬化校正前,第i个扫描角度下,第j个探测器采集的射线强度信号;Wherein, I O (i, j) represents the ray intensity signal collected by the jth detector under the ith scanning angle before hardening correction;

max()表示对一维数组取最大值;max() means to take the maximum value for a one-dimensional array;

C:[0.5 0.8]间常数,根据经验选定。C: constant between [0.5 0.8], selected according to experience.

本发明与现有技术相比的优点如下:The advantages of the present invention compared with prior art are as follows:

(1)本发明由于从每个扫描角度的原始投影提取硬化信息,确定各扫描角度各自的校正系数,故校正模型具有更高的有效性,校正质量高;(1) Since the present invention extracts hardening information from the original projection of each scanning angle, and determines the respective correction coefficients of each scanning angle, the correction model has higher validity and high correction quality;

(2)校正过程只涉及原始投影的加、减等运算,故校正速度更高,校正程序实时;(2) The correction process only involves the addition and subtraction of the original projection, so the correction speed is higher and the correction procedure is real-time;

(3)不需要事先进行建模扫描和计算,不受扫描对象和扫描条件限制,不需要特定的校正硬件,故校正更为简单;(3) It does not need to carry out modeling scanning and calculation in advance, it is not limited by the scanning object and scanning conditions, and does not require specific calibration hardware, so the calibration is simpler;

(4)校正不需要事先建模,故受投影噪声影响小,校正信噪比更高。(4) The correction does not need to be modeled in advance, so it is less affected by projection noise, and the correction signal-to-noise ratio is higher.

附图说明 Description of drawings

图1为本发明硬化校正方法流程图;Fig. 1 is the flowchart of hardening correction method of the present invention;

图2为扫描物体仅由一种物质(铝)构成时,使用未进行射束硬化校正的投影正弦图和滤波反投影重建算法,重建得到的CT图像;Fig. 2 is the CT image reconstructed using the projected sinogram without beam hardening correction and the filtered back-projection reconstruction algorithm when the scanned object is composed of only one material (aluminum);

图3为扫描物体仅由一种物质(铝)构成时,采用本发明校正后的投影正弦图和滤波反投影重建算法,重建得到的CT图像;Fig. 3 is when the scanning object is only made of a kind of material (aluminum), adopts the projection sinogram after the correction of the present invention and filter back-projection reconstruction algorithm, reconstructs the CT image that obtains;

图4为采用背景技术中的对比文献的拟合射线硬化校正方法校正后的投影正弦图和滤波反投影重建算法,重建得到的CT图像;Fig. 4 is the CT image obtained by reconstructing the projected sinogram and the filtered back-projection reconstruction algorithm corrected by the fitting ray hardening correction method of the comparative literature in the background technology;

图5为图3和图4重建图像对应行重建灰度值比较曲线;Fig. 5 is the comparison curve of the reconstructed gray value of the corresponding row of the reconstructed image in Fig. 3 and Fig. 4;

图6为扫描物体由三种物质(铝,密度1.000g/cm3的纯水,密度1.005g/cm3的盐水)构成时,使用未进行射束硬化校正的投影正弦图和滤波反投影重建算法,重建得到的CT图像;Figure 6 shows the projection sinogram and filtered back projection reconstruction without beam hardening correction when the scanned object is composed of three substances (aluminum, pure water with a density of 1.000g/ cm3 , and saline with a density of 1.005g/ cm3 ) Algorithm, reconstructing the obtained CT image;

图7为扫描物体由三种物质(铝,密度1.000g/cm3的纯水,密度1.005g/cm3的盐水)构成时,使用本发明校正后的投影正弦图和滤波反投影重建算法,重建得到的CT图像;Fig. 7 shows that when the scanned object is composed of three substances (aluminum, pure water with a density of 1.000g/ cm3 , and salt water with a density of 1.005g/ cm3 ), the corrected projected sinogram and filtered back-projection reconstruction algorithm of the present invention are used. The reconstructed CT image;

图8为图3和图4重建图像对应行重建灰度值比较曲线。Fig. 8 is a comparison curve of the reconstructed gray value of corresponding lines of the reconstructed images in Fig. 3 and Fig. 4 .

具体实施方式 Detailed ways

如图1,本发明的具体实施步骤如下:As shown in Figure 1, the specific implementation steps of the present invention are as follows:

(1)将被扫描物体放置于三代CT扫描系统旋转检台,确保任一扫描角度下,物体被扇束覆盖;(1) Place the object to be scanned on the rotating inspection table of the third-generation CT scanning system to ensure that the object is covered by the fan beam at any scanning angle;

(2)以经准直而成的扇束射线对物体实施透照,同时,检台匀速连续旋转,由多个排列成线阵的探测通道构成的探测器,以固定采样速度连续采集透射过物体的射线投影,获得多组一维信号;(2) Transilluminate the object with the collimated fan-beam rays. At the same time, the detection platform rotates continuously at a constant speed. Ray projection of the object to obtain multiple sets of one-dimensional signals;

(3)当检台旋转360度时,探测器停止采样,检台和射线源同时停止,即完成一次三代CT扫描;(3) When the inspection table rotates 360 degrees, the detector stops sampling, and the inspection table and the radiation source stop at the same time, that is, a third-generation CT scan is completed;

(4)将步骤(2)获取的多组一维信号堆叠,排列成矩阵,形成原始CT投影正弦图。其中,矩阵的一列代表同一个探测通道在360度内采集的数据,矩阵的一行代表某一扫描角度下,所有探测通道采集的数据;(4) Stacking multiple sets of one-dimensional signals obtained in step (2) and arranging them into a matrix to form an original CT projection sinogram. Among them, a column of the matrix represents the data collected by the same detection channel within 360 degrees, and a row of the matrix represents the data collected by all detection channels at a certain scanning angle;

(5)无射线时,按步骤(2)、(3)和(4)方法,形成暗场投影图,将暗场投影图按列取平均值,得到一维暗场投影数组D;(5) When there is no ray, according to the method of steps (2), (3) and (4), a dark field projection map is formed, and the dark field projection map is averaged by columns to obtain a one-dimensional dark field projection array D;

(6)将物体从扫描台移走,确保射线源和线阵探测器间无任何物体;(6) Remove the object from the scanning table to ensure that there is no object between the ray source and the line array detector;

(7)按步骤(2)、(3)和(4)方法,形成亮场投影图,将亮场投影图按列取平均值,得到一维亮场投影数组L;(7) According to the method of steps (2), (3) and (4), a bright field projection map is formed, and the bright field projection map is averaged by columns to obtain a one-dimensional bright field projection array L;

(8)将L减去D,完成亮场暗电流校正,得到L1;(8) Subtract D from L to complete the bright field dark current correction to obtain L1;

(9)求L1的平均值,以平均值除以L1的每个值,得到一维数组U;(9) Calculate the average value of L1, and divide each value of L1 by the average value to obtain a one-dimensional array U;

(10)将步骤(4)获取的投影图每行数据减去D,完成暗电流校正;(10) Subtracting D from each line of data in the projection image obtained in step (4) to complete the dark current correction;

(11)将步骤(10)获取的投影图每行数据乘以U,完成不一致性校正。(11) Multiply the data of each line of the projection map obtained in step (10) by U to complete the inconsistency correction.

(12)搜索步骤(11)获取的投影正弦图每一行像素投影值的最小值,将它们存在一维数组A;(12) the minimum value of each row of pixel projection value of the projected sinogram that search step (11) obtains, they are stored in one-dimensional array A;

(13)计算步骤(11)获取的投影正弦图每一行所有像素投影值的和,将它们存在一维数组B;(13) The sum of all pixel projection values of each row of the projected sinogram obtained in the calculation step (11) is stored in a one-dimensional array B;

(14)数组B每个值除以数组B最大值,将结果存在数组B;(14) Divide each value of array B by the maximum value of array B, and store the result in array B;

(15)数组B与数组A对应数据相乘,结果存在数组A;(15) Array B is multiplied with the corresponding data of array A, and the result is stored in array A;

(16)将投影正弦图的第i行(i为从1到N的正整数,N为投影正弦图总行数)所有像素投影值减去数组A第i个(i为从1到N的正整数,N为数组A数据总数)数据;(16) Subtract the i-th row of the projection sinogram (i is a positive integer from 1 to N, and N is the total number of rows of the projection sinogram) from all pixel projection values of the array A (i is a positive integer from 1 to N) Integer, N is the total number of array A data) data;

(17)重复上述步骤(16),直到投影正弦图的最后一行所有像素投影值减去数组A最后一个数据,形成校正后投影正弦图;(17) Repeat above-mentioned steps (16), until all pixel projection values of the last line of projected sinogram subtract the last data of array A, form the projected sinogram after correction;

(18)将上述投影正弦图送入CT重建动态库。(18) Send the projection sinogram above into the CT reconstruction dynamic library.

图2-图5给出了被检测物体仅由一种物质(铝)构成的具体校正实例。图2为使用未进行射束硬化校正的投影正弦图和滤波反投影重建算法,重建得到的CT图像;图3为使用本发明射束硬化校正的投影正弦图和滤波反投影重建算法,重建得到的CT图像;图4为采用背景技术中的对比文献的拟合射线硬化校正方法校正后的投影正弦图和滤波反投影重建算法,重建得到的CT图像;图5为图3与图4对应行重建灰度曲线比较。图5中点划线为图2第256行像素的灰度值;粗实线为图3第256行像素的灰度值;细实线为图4第256行像素的灰度值。比较三条曲线可知,本发明校正效果最好。计算得到,图2、图3和图4的信噪比分别为:24.9、38.6和12.4,表明本发明校正后信噪比最高。Figures 2-5 show specific examples of corrections where the object to be detected consists of only one substance (aluminum). Fig. 2 is the CT image reconstructed using the projected sinogram and the filtered back-projection reconstruction algorithm without beam hardening correction; Fig. 3 is the projected sinogram and the filtered back-projection reconstruction algorithm using the beam hardening correction of the present invention, reconstructed to obtain CT image; Fig. 4 is the projection sinogram and filtered back-projection reconstruction algorithm corrected by the fitting ray hardening correction method of the comparative literature in the background technology, and the reconstructed CT image is obtained; Fig. 5 is the corresponding row of Fig. 3 and Fig. 4 Reconstructed grayscale curve comparison. The dotted line in Figure 5 is the gray value of the pixel in the 256th row in Figure 2; the thick solid line is the gray value of the pixel in the 256th row in Figure 3; the thin solid line is the gray value of the pixel in the 256th row in Figure 4. Comparing the three curves shows that the correction effect of the present invention is the best. Calculated, the signal-to-noise ratios of Fig. 2, Fig. 3 and Fig. 4 are respectively: 24.9, 38.6 and 12.4, indicating that the present invention has the highest signal-to-noise ratio after correction.

图6-图8给出了被检测物体由三种物质(铝,密度1.000g/cm3的纯水,密度1.005g/cm3的盐水)构成的具体校正实例。图6为使用未进行射束硬化校正的投影正弦图和滤波反投影重建算法,重建得到的CT图像;图7为使用本发明射束硬化校正的投影正弦图和滤波反投影重建算法,重建得到的CT图像;图8为图6与图7对应行重建灰度曲线比较。图8中点划线为图6第256行像素的灰度值;粗实线为图7第256行像素的灰度值。比较二条曲线可知,本发明对由多种物质构成的物体的射束硬化校正效果明显。Fig. 6-Fig. 8 have provided the concrete correction example that the detected object is made of three substances (aluminum, pure water with a density of 1.000g/cm3, and salt water with a density of 1.005g/cm3). Fig. 6 is a CT image reconstructed using a projected sinogram without beam hardening correction and a filtered back-projection reconstruction algorithm; Fig. 7 is a reconstructed CT image obtained using a beam-hardening corrected projected sinogram and a filtered back-projection reconstruction algorithm of the present invention CT image; Figure 8 is a comparison of the reconstructed gray-scale curves of the corresponding lines in Figure 6 and Figure 7. The dotted line in Fig. 8 is the gray value of the pixel in the 256th row in Fig. 6; the thick solid line is the gray value of the pixel in the 256th row in Fig. 7 . Comparing the two curves, it can be seen that the present invention has an obvious correction effect on beam hardening for objects composed of multiple substances.

Claims (4)

1, based on the CT beam hardening correction method of original projection sinogram, it is characterized in that comprising the following steps:
(1) carries out three generations's CT scan, obtain to be arranged in the original projection sinogram of matrix;
(2) dark current and the discordance of carrying out original projection sinogram proofreaied and correct;
(3) minima of each row pixel projection value in the projection sinogram that after overcorrect, obtains of search step (2);
(4) determine one group less than 1 arithmetic number correction coefficient;
(5) projection value of each row pixel of the projection sinogram that step (2) is obtained after overcorrect deducts the product of the corresponding row correction coefficient that corresponding row minima that step (3) obtains and step (4) obtain, and finishes all row projection pencil sclerosis corrections;
(6) projection sinogram is sent into CT and is rebuild dynamic base after the correction that step (5) is obtained.
2, the CT beam hardening correction method based on original projection sinogram according to claim 1, it is characterized in that: described step is carried out three generations's CT scan in (1), and the step that acquisition is arranged in the original projection sinogram of matrix is:
(a) scanned object is positioned over three generations's CT scan system rotation inspection platform, guarantees that object is covered by fan-beam under arbitrary scanning angle;
(b) with the fan-beam ray that forms through collimation object is implemented transillumination, simultaneously, the inspection platform rotates at the uniform velocity continuously, the detector that is made of a plurality of detection channels that are arranged in linear array, cross the ray projection of object with the transmission of fixed sample speed continuous acquisition, obtain many group one-dimensional signals;
(c) when the inspection platform revolved three-sixth turn, detector stopped sampling, and inspection platform and radiographic source stop simultaneously, promptly finish three generations's CT scan one time;
(d) many groups one-dimensional signal that step (b) is obtained piles up, and is arranged in matrix, forms the original CT projection sinogram, wherein, the data that on behalf of same detection channels, the string of matrix gather in 360 degree, the delegation of matrix represents under a certain scanning angle, the data that all detection channels are gathered.
3, the CT beam hardening correction method based on original projection sinogram according to claim 1 is characterized in that: the dark current and the gauged step of discordance of carrying out original projection sinogram in the described step (2) are:
(a) scanned object is positioned over three generations's CT scan system rotation inspection platform, guarantees that object is covered by fan-beam under arbitrary scanning angle; During no ray, the inspection platform rotate at the uniform velocity continuously, by the detector that a plurality of detection channels that are arranged in linear array constitute, with the continuous acquisition projection under no ray situation of fixed sample speed, organizes one-dimensional signals obtain more; When the inspection platform revolved three-sixth turn, detector stopped sampling, and the inspection platform stops; The many groups one-dimensional signal that obtains is piled up, be arranged in matrix, form the details in a play not acted out on stage, but told through dialogues projection, wherein, the data that on behalf of same detection channels, the string of matrix gather in 360 degree, the delegation of matrix represents under a certain scanning angle, the data that all detection channels are gathered; The details in a play not acted out on stage, but told through dialogues projection is averaged by row, obtain one dimension details in a play not acted out on stage, but told through dialogues projection array D;
(b) object is removed from scan table, guaranteed no any object between radiographic source and linear array detector;
(c) with the fan-beam ray that forms through collimation detector is implemented irradiation, simultaneously, the inspection platform rotates at the uniform velocity continuously, and the detector by a plurality of detection channels that are arranged in linear array constitute with fixed sample speed continuous acquisition ray projection, obtains many group one-dimensional signals; When the inspection platform revolved three-sixth turn, detector stopped sampling, and inspection platform and radiographic source stop simultaneously; The many groups one-dimensional signal that obtains is piled up, be arranged in matrix, form the bright field projection, wherein, the data that on behalf of same detection channels, the string of matrix gather in 360 degree, the delegation of matrix represents under a certain scanning angle, the data that all detection channels are gathered; The bright field projection is averaged by row, obtain one dimension bright field projection array L;
(d) L is deducted D, finish the bright field dark current correction, obtain L1;
(e) ask the meansigma methods of L1,, obtain one-dimension array U with meansigma methods each value divided by L1;
(f) the projection each row of data that step (1) is obtained deducts D, finishes dark current correction;
(g) each row of data of projection multiply by U behind the dark current correction that step (f) is obtained, and finishes discordance and proofreaies and correct.
4, the CT beam hardening correction method based on original projection sinogram according to claim 1 is characterized in that, the step of beam hardening correction is in described step (3), (4) and (5):
(a) there is one-dimension array A in the minima of each row pixel projection value of the projection sinogram obtained of search step (2) with them;
(b) each all pixel projection value of row of the projection sinogram obtained of calculation procedure (2) and, there is one-dimension array B in they;
(c) there is array B divided by array B maximum in each value of array B with the result;
(d) array B and array A corresponding data multiply each other, and there is array A in the result;
(e) capable all the pixel projection values of i with projection sinogram deduct i data of array A, and wherein, i is the positive integer from 1 to N, and N is the total line number of projection sinogram;
(f) repeating step (e) deducts last data of array A up to all pixel projection values of last column of projection sinogram, forms to proofread and correct the back projection sinogram.
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