改进傅里叶变换的荧光分子断层成像优化  

Improved Fourier transform fluorescence molecular tomography optimization

作　　者：杨丽 张栋 YANG Li;ZHANG Dong(College of Mathematics and Statistics,Cangzhou Normal University,Cangzhou Hebei 061001,China)

机构地区：[1]沧州师范学院数学与统计学院,河北沧州061001

出　　处：《激光杂志》2022年第9期98-102,共5页Laser Journal

基　　金：河北省科技厅计划项目(No.18456114)。

摘　　要：为提升荧光分子断层图像重建速度并且降低重建后图像的病态性,研究了一种改进傅里叶变换的荧光分子断层成像优化方法。首先对二维图像的一阶与二阶特征进行统计,扩展二维图像的自相关函数,使其转变为三维结构的自相关函数,利用傅里叶变换自相关函数重建图像三维结构;再使用模板卷积滤波荧光分子断层三维图像,在图像频域之中利用改进傅里叶变换乘积滤波,并使用高斯带通滤波器去除三维图像的噪声,完成荧光分子断层的成像优化。实验结果表明,使用该方法重建后的荧光分子断层图像与医学设备真实扫描的图像更为接近,说明该方法重建误差较小,且重建速度较快,可以在28 s时完成重建,以期为提升图像增强优化效果提供一定帮助。In order to improve the reconstruction speed of fluorescence molecular tomography image and reduce the ill condition of reconstructed image,an improved Fourier transform optimization method of fluorescence molecular tomography is studied in this paper.Firstly,the first-order and second-order features of two-dimensional image are counted,the autocorrelation function of two-dimensional image is extended to transform it into the autocorrelation function of three-dimensional structure,and the three-dimensional structure of image is reconstructed by Fourier transform autocorrelation function;Then the template convolution filter is used to filter the three-dimensional image of fluorescent molecular tomography,the improved Fourier transform product filter is used in the image frequency domain,and the Gaussian band-pass filter is used to remove the noise of the three-dimensional image to complete the imaging optimization of fluorescent molecular tomography.The experimental results show that the fluorescence molecular tomography image reconstructed by this method is closer to the real image scanned by medical equipment,indicating that the reconstruction error of this method is small and the reconstruction speed is fast.The reconstruction can be completed in 28 s,in order to provide some help for improving the optimization effect of image enhancement.

关 键 词：傅里叶变换 荧光分子 断层成像 自相关函数 高斯带通滤波 逆运算 

分 类 号：TN241[电子电信—物理电子学]