基于Hakopian插值的快速图像重建算法  

Fast Image Reconstruction with Hakopian Interpolation

作　　者：孙雪楠[1] 梁学章[1] 刘播[1] 

机构地区：[1]吉林大学数学学院,长春130012

出　　处：《计算机辅助设计与图形学学报》2006年第3期451-455,共5页Journal of Computer-Aided Design & Computer Graphics

摘　　要：在2004年工作的基础上,利用Hakopian插值多项式的ChebyshevFourier分解形式,提出了一种重建二维图像的快速算法.该算法在重建时间上具有明显优势.此外,与传统的滤波反投影(FBP)方法相比,该算法还可以用于局部图像重建.仿真实验验证了该算法的有效性.A new fast algorithm for the reconstruction of two-dimensional image from projection is described. The algorithm is based on the Chebyshev-Fourier decomposition of Hakopian polynomial. In contrast to our 2004＇s work, the new algorithm retains its merits, while the computing time is improved remarkably. Moreover, compared with the traditional FBP method, the new algorithm can be applied for local image reconstruction. Computer simulation experiments show that the new algorithm is effective.

关 键 词：图像重建 RADON变换 Hakopian插值多项式 Chebyshev-Fourier分解 局部重建 

分 类 号：O241[理学—计算数学] TP391[理学—数学]