A generalized diffusion based inter-iteration nonlinear bilateral filtering scheme for PET image reconstruction

作者：Zhou Jian^*; Zhu Hongqing; Shu Huazhong; Luo Limin

来源：Computerized Medical Imaging and Graphics, 2007, 31(6): 447-457.

DOI：10.1016/j.compmedimag.2007.04.003

• image reconstruction
• inter-iteration
• filtering
• MAP
• OSL
• diffusion
• bilateral
• range filter
• domain filter

In this paper, a new inter-iteration filtering scheme based on diffusion Maximum a Posteriori (MAP) estimation for Positron emission tomography (PET) image reconstruction is proposed. This is achieved by gaining the insights into the classical MAP iteration (e.g. the 'one-step-late' algorithm, OSL) and the several well-established approximations to the diffusion process. We show that such a new technique allows additional insight and sufficient flexibility for further investigations on some nonlinear filters based reconstruction algorithms. In particular, we suggest the bilateral filter as a nice application in which image smoothing while edge preserving can be readily obtained by the combination of the range and domain filters. The feasibility and efficiency of the proposed method are verified in the substantiating experiments conducted on both the computer simulated and real clinical data.

• 出版日期2007-9
• 单位华东理工大学; 东南大学