NON-ITERATIVE METHODS FOR 3D SPECT IMAGE RECONSTRUCTION

拟议研究的广泛目标是发展一种新的理论 和实用的方法，用于精确重建三维（3D） 在单光子发射计算机断层摄影（SPECT）中的断层摄影图像。 我们相信，新的概念，观点和技术发展， 拟议的研究将对正在进行的研究产生重大影响 在整个过程中解决先进的断层重建技术 医学影像社区 拟议的研究将调查和开发补偿方法， 3D SPECT中出现的物理因素的影响。 在 特别是，我们将专注于开发新的方法， 补偿均匀衰减和距离相关的空间 解析，提供封闭形式（即，非迭代）数学 解决方案，并在3D SPECT中以最佳方式控制噪声。 我们将 将我们开发的封闭形式的方法扩展到具有变量的3D Spect 衰减 其他研究人员正在进行的关于 3D SPECT中散射的补偿将被纳入拟议的 研究，因为它们是可用的。 我们的初步理论和数值研究在该地区的 拟议的研究非常有前途，并引发了相当大的 在医学影像科学领域的兴趣，揭示了各种 基本概念和观点，这是未知的，以前在两个 2D和3D SPECT，丰富了我们对3D SPECT图像的理解 重建任务。 这项建议的具体目标是： (1)理想函数精确估计的闭合形式方法的发展 正弦图， (2)3D广义Tretiak-Metz方法的开发， (3)将所提出的方法扩展到具有变量的3D SPECT 衰减， (4)实施所提出的方法， (5)实施所提出的方法， (5)对提出的方法进行定量评价。

The broad objective of the proposed research is to develop a novel theory and practical methods for accurate reconstruction of three-dimensional (3D) tomographic images in single-photon emission computed tomography (SPECT). We believe that the new concepts, perspectives, and techniques developed in the proposed research will have a significant impact on ongoing research addressing advanced tomographic reconstruction techniques throughout the medical imaging community. The proposed research will investigate and develop methods that compensate for the effects of physical factors t hat arise in 3D SPECT. In particular, we will focus on the development of novel methods that compensate for uniform attenuation and distance-dependent spatial resolution, that provide closed-form (i.e., non-iterative) mathematical solutions, and that control noise in an optimal sense in 3D SPECT. We will extend the closed-form methods that we develop to 3D Spect with variable attenuation. Results of ongoing research by other investigators on compensation for scatter in 3D SPECT will be incorporated into the proposed research as they become available. Our preliminary theoretical and numerical studies ina the area of the proposed research are highly promising and have sparked considerable interest in the field of medical imaging science, revealing a variety of fundamental concepts and perspectives that were unknown previously in both 2D and 3D SPECT and that enrich our understanding of the 3D SPECT image reconstruction task. The specific aims of this proposal are; (1) Development f closed-form methods for accurate estimation of the ideal sinogram, (2) Development of 3D generalized Tretiak-Metz approaches, (3) Extension of the proposed methods to 3D SPECT with variable attenuation, (4) Implementation of the proposed methods, (5) Implementation of the proposed methods, (5) Quantitative evaluation of the proposed methods.