Title :
PML Algorithm for Positron Emission Tomography Combined With Nonlocal Fuzzy Anisotropic Diffusion Filtering
Author :
Gui, Zhiguo ; Liu, Yi ; He, Jiawei
Author_Institution :
Nat. Key Lab. for Electron. Meas. Technol., North Univ. of China, Taiyuan, China
Abstract :
Penalized iterative algorithm, which outperforms the maximum likelihood reconstruction by utilizing the image´s prior, has became a standard reconstruction approach in PET (Positron Emission Tomography). Such an algorithm is usually called PML (Penalized Maximum likelihood) algorithm. However, this kind of method still suffers from noisy propagation and edge blurring. Recently, the MRP-like (Maximum Root Prior) reconstruction which combines with anisotropic diffusion filtering, taking PDEMedian (Partial Differential Equations Median) for example, was proposed for noise removing and it could obtain better results than traditional algorithms. However, due to the shortcoming of P-M diffusion model, step artifacts could still be observed in the reconstructed image. This work aims to improve the quality of PET images using a novel nonlocal fuzzy diffusion model. Compared to the PDEMedian method, the proposed approach can impose an effective edge-preserving and noise-removing diffusion model for PET image reconstruction. Experimental results showed that the proposed method is more effective in improving quality of reconstructed images comparing with other common methods.
Keywords :
biodiffusion; filtering theory; fuzzy systems; image denoising; image restoration; iterative methods; maximum likelihood estimation; medical image processing; partial differential equations; positron emission tomography; MRP-like image reconstruction; P-M diffusion model; PDEMedian method; PET image quality; PET image reconstruction; PML algorithm; anisotropic diffusion filtering; edge blurring; edge-preserving diffusion model; maximum likelihood reconstruction; maximum root prior reconstruction; noise-removing diffusion model; noisy propagation; nonlocal fuzzy anisotropic diffusion filtering; partial differential equations median; penalized iterative algorithm; penalized maximum likelihood algorithm; positron emission tomography; standard reconstruction approach; step artifacts; Adaptation models; Anisotropic magnetoresistance; Image edge detection; Image reconstruction; Noise; Phantoms; Positron emission tomography; Anisotropic diffusion; PET; fuzzy set; nonlocal means; penalized likelihood algorithm;
Journal_Title :
Nuclear Science, IEEE Transactions on
DOI :
10.1109/TNS.2012.2198495