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16 March 2011 Noise reduction by projection direction dependent diffusion for low dose fan-beam x-ray computed tomography
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Abstract
We propose a novel method to reduce the noise in fan-beam computed tomography (CT) imaging. First, the inverse Radon transform is induced for a family of differential expression of projection function. Second, the diffusion partial differential equation (PDE) is generalized from image space to projection space in parallel-beam geometry. Third, the diffusion PDE is further induced from parallel-beam geometry to fan-beam geometry. Finally, the projection direction dependent diffusion is developed to reduce CT noise, which arises from the quantum variation in the low dose exposure of a medical x-ray CT (XCT) system. The proposed noise reduction processes projections iteratively and dependently on x-ray path position, followed by a general CT reconstruction. Numerical simulation studies have demonstrated its feasibility in the noise reduction of low dose fan-beam XCT imaging.
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Shaojie Tang, Xuanqin Mou, Yanbo Zhang, and Hengyong Yu "Noise reduction by projection direction dependent diffusion for low dose fan-beam x-ray computed tomography", Proc. SPIE 7961, Medical Imaging 2011: Physics of Medical Imaging, 79613L (16 March 2011); https://doi.org/10.1117/12.877635
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