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利用离散正交矩的有限角度CT图像重建

戴修斌 1；4, 舒华忠 1；4, 罗立民 1；4, 韩国牛 2, Jean Louis Coatrieux 3；4   

  1. 1. 东南大学 影像科学与技术实验室, 江苏 南京 210096; 2.斯特拉斯堡第一大学, 斯特拉斯堡 67084; 3. 雷恩第一大学, 雷恩 35000; 4.中法生物医学信息研究中心, 江苏 南京 210096

  • 收稿日期:2008-02-22 修回日期:2008-07-19 出版日期:2008-12-10 发布日期:2008-12-10
  • 通信作者: 戴修斌

Image Reconstruction from Limited Range Projections Using Discrete
Orthogonal Moments

DAI Xiu-bin 1；4, SHU Hua-zhong 1；4, LUO Li-min 1；4, Han Guo-niu 2, Jean Louis Coatrieux 3；4   

  1. 1.Laboratory of Image Science and Technology, Southeast University, Nanjing 210096, China; 2. Universite Louis Pasteur et C.N.R.S., Strasbourg 67084, France; 3. Universite de Rennes 1, Rennes 35000, France; 4. Centre de Recherche en Information Biomedicale Sino-Francais, Nanjing 210096, China
  • Received:2008-02-22 Revised:2008-07-19 Online:2008-12-10 Published:2008-12-10
  • Contact: DAI Xiu-bin

被引次数

1

摘要： 补全未知角度投影数据是提高有限角度CT图像重建质量的有效方法. 提出一种新的投影数据估计算法，利用离散Radon变换和Tchebichef正交多项式建立图像矩和投影矩之间的关系，并用这种关系从已知投影数据中估计未知投影数据，达到提高重建图像质量的目的. 实验证明，该方法能提高估计投影数据的精度，获得更好的重建结果，并具有更好的抗噪声性能.

关键词: 离散Radon变换, Tchebichef正交矩, 有限角度CT图像重建

Abstract: Estimation of projection from unknown views is an efficient way to improve image reconstruction quality when parts of the projections are missing. This paper presents a new method to estimate unknown projections. To achieve better results, we make use of the discrete Radon transform and a set of discrete orthogonal Tchebichef polynomials to establish relationship between the projection moments and the image moments, and then estimate the unknown projections from the known projections using this relationship. Experimental results show that the proposed method provides good image reconstruction quality, and is robust against noise.

Key words: discrete Radon transform, Tchebichef orthogonal moments, limited-view CT image reconstruction

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