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1.
重建算法是计算机断层成像(CT)技术的核心。在解析法CT重建过程中,结合先验信息和引入优化约束条件较为困难。通过对滤波反投影(FBP)原理及其重建图像与理想CT图像差值关系的分析,构造了以FBP为基础的迭代循环,解决了解析重建过程中先验信息的利用和优化约束条件的引入问题。为抑制迭代FBP产生的图像伪影,将全变分(TV)模型引入重建过程,建立了TV约束迭代滤波反投影CT重建方法。在数值模拟中,针对完善投影数据、稀疏投影数据、含金属投影数据和有限角投影数据等不同情况,重建出了与原始模型高度一致的CT图像,研究表明TV约束迭代滤波反投影方法是一种精度高、适应性较强的CT重建方法。  相似文献   

2.
汪先超  闫镔*  刘宏奎  李磊  魏星  胡国恩 《物理学报》2013,62(9):98702-098702
本文基于数据重排方法, 提出了T-BPF (Tent-BPF)算法, 该算法先将锥束投影数据重排成平行投影数据, 然后使用一种推导的BPF型算法重建重排后的平行投影数据. T-BPF算法将原BPF算法反投影中变化的角度积分限变成固定的, 反投影中各层循环之间没有了相关性, 这意味着T-BPF算法较原BPF算法具有更好的可并行性. 实验结果显示: 使用GPU对2563的Shepp-Logan体模的图像重建进行并行加速, T-BPF算法在保证重建质量的前提下, 加速比达到了1036, 较原BPF算法有很大提升. T-BPF算法为截断投影数据的3D图像快速重建提供了方法. 关键词: X射线光学 CT 图像重建 GPU  相似文献   

3.
建立光学投影层析三维成像系统,该系统包括光学成像、图像采集、断层重建及三维显示,重建算法为滤波反投影算法.实验结果表明:利用该系统得到的重建图像与样品的形状吻合,重建结果边缘清晰,伪迹较小.  相似文献   

4.
在轴对称等离子体的图像诊断中,根据等离子体在某个方向的X射线强度图像可以重建出辐射系数的空间分布.由于X射线在等离子体的传播过程中存在一定的吸收,需要在重建过程中考虑吸收校正.本文在滤波反投影法(FBP)的基础上,结合X射线在等离子体中的吸收规律,提出了带吸收校正的FBP迭代算法.通过对钠等离子体辐射系数的轴对称重建模拟,发现该算法重建精度高,收敛性好,取得了很好的重建结果.  相似文献   

5.
光学层析技术中常见迭代重建算法的误差分析   总被引:1,自引:1,他引:0       下载免费PDF全文
常方飞  张志敏 《应用光学》2009,30(4):616-621
为了得到较好的重建结果,对光学层析技术中常见迭代重建算法中的代数重建算法(ART)和同时迭代重建算法(SIRT)的重建参数进行分析,通过选择重建参数和计算机数值模拟达到重建要求.计算机数值模拟证明了松弛因子的选择对迭代重建算法的重建结果有非常重要的影响.在ART算法中,其他重建条件一定,松弛因子太大或太小时重建误差都会增大,松弛因子在0.4~1.5范围内时重建精度基本满足要求,最优松弛因子约为0.8;在SIRT算法中,松弛因子在4~12范围内时重建精度基本满足要求,最优松弛因子约为12.总结出代数重建算法和同时迭代重建算法不同条件下松弛因子选择的规律.在ART算法中,投影方向数增加松弛因子减小, 每方向投影数与重建分辨率对松弛因子无影响,松弛因子一定的情况下,投影数太小或太大误差会增大.在SIRT算法中,投影方向数增加松弛因子减小,并且投影方向数增加一倍最优松弛因子约减小为原来的50%; 每方向投影数增加最优松弛因子减小,且投影数增加一倍,最优松弛因子约减小原来的50%; 重建分辨率增加,最优松弛因子增加.  相似文献   

6.
一种少投影光学层析新算法及其应用   总被引:13,自引:5,他引:8  
万雄  何兴道  高益庆 《光学学报》2003,23(12):433-1438
研究少投影数情况下等离子体温度场重建问题。结合光学层析重建算法及等离子体光谱诊断中的谱线绝对强度法进行自由电弧等离子体温度场重建实验。理论上,详细讨论了一种基于最大熵准则及最优化原理的光学层析图像重建新算法。通过计算机数值模拟,考察了该算法对非对称温度场分布的重建效果。详细分析了投影噪声、投影方向数、场分布性质对重建精度的影响,并与代数迭代重建算法结果进行对比.结果表明,该算法以两个正交方向投影数据重建单峰余弦模拟场平均误差仅为0.3%,而代数迭代重建算法为3.81%;该算法以四个均匀角度间隔投影数据重建三峰随机高斯模拟场平均误差为1.77%,而代数迭代重建算法为2.02%。实验中,运用该算法结合谱线绝对强度法重建了自由电弧等离子体的温度分布。  相似文献   

7.
基于压缩传感和代数重建法的CT图像重建   总被引:4,自引:0,他引:4  
代数重建法(ART)是一种重要的CT图像重建方法,适合于不完全投影数据的图像重建,其缺点是重建速度慢。为提高图像重建的质量和速度,利用压缩传感理论提出了一种基于ART的高质量图像重建算法。该算法将CT图像的梯度稀疏性结合到ART图像重建中,在每次迭代中的投影操作结束后用梯度下降法调整全变差,减小图像梯度的l1范数。实验结果验证了该算法的有效性。  相似文献   

8.
基于z轴权重的麦粒图像三维重建   总被引:1,自引:0,他引:1  
为得到清晰的麦粒重建切片,利用共轭射线弥补Radon空间数据缺失,在FDK(Feldkamp-Davis-Kress)重建算法的基础上,引入z轴权重函数来优化麦粒切片图像的重建结果。针对三维头模型,z-FDK算法重建结果的均方根误差比FDK算法的小3.6927,大大抑制了FDK算法中的z轴方向强度下降。实验结果表明,针对卵期、低龄幼虫期和高龄幼虫期的麦粒投影图像,z-FDK算法的平均梯度和对比度噪声比均大于FDK算法,重建麦粒茸毛端和胚部端两个区域的灰度值增大,伪影得到改善。  相似文献   

9.
基于高斯机(GM)提出了一种新的少数投影CT图像重建算法。首先将图像重建问题转化为最大嫡准则下的优化问题,然后构造相应的GM模型,并采用双曲调度进行模拟退火,网络的稳定解就是重建问题的优化解。数值模拟结果表明,与联合代数重建技术(SART)相比,从投影角间距为450的4个不同的投影视角方向获取投影数据时,该算法具有较高的重建精  相似文献   

10.
为提升高噪声稀疏角度投影条件下中子计算机断层扫描(CT)质量,提出同时迭代重建方法(SIRT)与加权总差分最小化(WTDM)相结合的迭代重建方法(SIRT-WTDM)。在有无噪声情况下比较代数重建算法、联合代数重建算法及同时迭代重建算法的重建图像,证明了SIRT迭代重建具有较高的图像重建精度与较强的抗噪声性能,因此将SIRT作为高噪声中子投影图像CT迭代重建算法的保真项。考虑到对图像梯度稀疏性与连续性的约束,中子CT迭代重建方法的正则化约束项采用WTDM方法。由Shepp-Logan模体与真实冷中子层析扫描数据验证可知,在极端稀疏角度投影条件下,SIRT-WTDM可获得较好的重建效果。  相似文献   

11.
The qualitative equivalence between the Fourier reconstruction (FR) algorithm and the filtered back projection (FBP) algorithm is demonstrated when all the different phase errors that can occur in FR are eliminated. The causes of phase errors are underlined and methods to eliminate them are presented. The practical comparison between FR and FBP has been evaluated on a numerical test image and the results are reported, demonstrating the qualitative equivalence. FR has the advantage of being very computationally efficient. In fact, the time spent to obtain the FR image was 1/20 of that used to obtain the FBP image. Because of the computational efficiency of FR and the good quality of the results obtained, an iterative version of FR has been used to implement the spectral–spatial imaging (SSI) algorithm in the field of electron paramagnetic resonance imaging (EPRI). An experimental example, demonstrating its good performance, is reported.  相似文献   

12.
In‐line X‐ray phase‐contrast computed tomography (IL‐PCCT) can reveal fine inner structures for low‐Z materials (e.g. biological soft tissues), and shows high potential to become clinically applicable. Typically, IL‐PCCT utilizes filtered back‐projection (FBP) as the standard reconstruction algorithm. However, the FBP algorithm requires a large amount of projection data, and subsequently a large radiation dose is needed to reconstruct a high‐quality image, which hampers its clinical application in IL‐PCCT. In this study, an iterative reconstruction algorithm for IL‐PCCT was proposed by combining the simultaneous algebraic reconstruction technique (SART) with eight‐neighbour forward and backward (FAB8) diffusion filtering, and the reconstruction was performed using the Shepp–Logan phantom simulation and a real synchrotron IL‐PCCT experiment. The results showed that the proposed algorithm was able to produce high‐quality computed tomography images from few‐view projections while improving the convergence rate of the computed tomography reconstruction, indicating that the proposed algorithm is an effective method of dose reduction for IL‐PCCT.  相似文献   

13.
蒋剑  王月兵  沈超  郑慧峰 《应用声学》2019,38(2):191-199
超声透射CT技术能够重建物体横断面的图像,为了重建高质量图像,分别从换能器和图像重建算法两个方面展开研究。分析了弧形线聚焦换能器焦域处聚焦切片尺寸与换能器几何尺寸的关系及其对CT检测的影响。搭建了超声透射CT检测系统,以等角扇形束的扫描方式获取投影数据,并利用滤波反投影和最小二乘正交分解两种算法重建图像,对比发现最小二乘正交分解算法通用性更强,成像质量更佳。实验结果表明,利用聚焦换能器并结合最小二乘正交分解算法对物体进行CT检测,能够取得较好的成像结果,检测分辨力可达毫米量级。  相似文献   

14.
大型试件的X射线CT检测方法探讨   总被引:5,自引:2,他引:3  
庞彦伟  王召巴 《光学技术》2002,28(2):99-100
当对投影长度大于探测器长度的大型试件做平行光束CT时 ,可以认为投影被截断了。从数学上讲 ,这种情况下的解析法重建如滤波反投影法是不适宜的。然而从工程应用上来说 ,这又不是绝对的。就几种情况讨论了通过补充假数据 ,通过在 0~ 2π范围内对试件成像得到了完整的CT切片 ,获得了切片的精确重建  相似文献   

15.
对含高密度差材料的大尺寸多层球壳构件采用双能CT方法进行无损检测,当采用高能射线扫描时,低Z材料区对射线基本无阻挡,而采用低能射线扫描时又会被高Z材料区截断,因此需要根据双能射线投影特征开展针对性的图像重建方法研究。首先,根据材料结构特征建立仿真模型,分别模拟得到高、低能射线的投影正弦图,然后采用滤波反投影和代数重建法等算法进行图像重建。通过仿真和比较分析,得出先融合投影再重建图像的方法要整体优于先分别重建再融合图像的方法。另外,为保证图像重建质量,在进行扫描射线能量选择时,要考虑提高局部投影质量,更要尽量减少被截断的总投影量。  相似文献   

16.
The single photon emission computed tomography (SPECT) imaging system has shift-variant characteristics due to non-uniform attenuation of gamma-ray, collimator design, scattered photons, etc. In order to provide quantitatively accurate SPECT images, these characteristics should be compensated in the reconstruction. This paper presents a new method to correct the shift-variant characteristics, which is based on a continuous-discrete mapping model and filtered backprojection (FBP) method, in which the projection data are assumed to be acquired by narrow ray sum beams in the FBP method and the assumed data set is expressed as a linear combination of the actual projection data. Narrow ray sum beams are approximated by a weighted sum of the original sensitivity functions. Thus, at the reconstruction the projection data are first modified using an approximation and the FBP method is then applied to the corrected projection data and a SPECT image is reconstructed. We further propose a technique that requires the inversion of smaller matrices than the conventional algebraic method; the amount of calculation and memory space become smaller and the stability of the calculation is greatly improved as well. The results of the numerical simulations are also demonstrated.  相似文献   

17.
Electron paramagnetic resonance imaging (EPRI) is a technique that has been used for in vivo oxygen imaging of small animals. In continuous wave (CW) EPRI, the measurement can be interpreted as a sampled 4D Radon transform of the image function. The conventional filtered-backprojection (FBP) algorithm has been used widely for reconstructing images from full knowledge of the Radon transform acquired in CW EPRI. In practical applications of CW EPRI, one often is interested in information only in a region of interest (ROI) within the imaged subject. It is desirable to accurately reconstruct an ROI image only from partial knowledge of the Radon transform because acquisition of the partial data set can lead to considerable reduction of imaging time. The conventional FBP algorithm cannot, however, reconstruct accurate ROI images from partial knowledge of the Radon transform of even dimension. In this work, we describe two new algorithms, which are referred to as the backprojection filtration (BPF) and minimum-data filtered-backprojection (MDFBP) algorithms, for accurate ROI-image reconstruction from a partial Radon transform (or, truncated Radon transform) in CW EPRI. We have also performed numerical studies in the context of ROI-image reconstruction of a synthetic 2D image with density similar to that found in a small animal EPRI. This demonstrates both the inadequacy of the conventional FBP algorithm and the success of BPF and MDFBP algorithms in ROI reconstruction. The proposed ROI imaging approach promises a means to substantially reduce image acquisition time in CW EPRI.  相似文献   

18.
The local reconstruction from truncated projection data is one area of interest in image reconstruction for computed tomography(CT),which creates the possibility for dose reduction.In this paper,a filtered-backprojection(FBP) algorithm based on the Radon inversion transform is presented to deal with the three-dimensional(3D) local reconstruction in the circular geometry.The algorithm achieves the data filtering in two steps.The first step is the derivative of projections,which acts locally on the data and can thus be carried out accurately even in the presence of data truncation.The second step is the nonlocal Hilbert filtering.The numerical simulations and the real data reconstructions have been conducted to validate the new reconstruction algorithm.Compared with the approximate truncation resistant algorithm for computed tomography(ATRACT),not only it has a comparable ability to restrain truncation artifacts,but also its reconstruction efficiency is improved.It is about twice as fast as that of the ATRACT.Therefore,this work provides a simple and efficient approach for the approximate reconstruction from truncated projections in the circular cone-beam CT.  相似文献   

19.
In CT (computed tomography), reconstruction from undersampling projection data is often ill-posed and suffers from severe artifact in the reconstructed images. To overcome this problem, this paper proposes a sinogram inpainting method based on recently rising sparse representation technology. In this approach, a dictionary learning based inpainting is used to estimate the missing projection data. The final image can be reconstructed by the analytic filtered back projection (FBP) reconstruction. We conduct experiments using both simulated and real phantom data. Compared to the comparative interpolation method, visual and numerical results validate the clinical potential of the proposed method.  相似文献   

20.
韦建军 《光学技术》2022,48(1):46-54
基于相移法的三维形貌重建精度高,对环境噪声和阴影等不敏感,但由于多幅条纹解相位,难以应用于动态物体的三维测量中,为此,提出了一种新的算法。基于Harris算法提取刚性运动棋盘格的角点,确定相邻两帧采集条纹图像之间的像素偏差并校正采集条纹图像;根据投影仪和摄像机的标定参数建立投影图像和采集图像之间的空间变换矩阵,并根据变换矩阵得到校正后的投影条纹图像;采用高速投影技术以减小帧间像素偏差;投影校正的投影图像并对采集图像进行变换,从而得到近似于物体静态时的采集条纹。实验结果证明,所提算法能高精度的重建轨迹和速度确定的复杂刚性运动物体的三维形貌。  相似文献   

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