A Vector Uniform Cramer-Rao Bound for SPECT System Design.
A Vector Uniform Cramer-Rao Bound for SPECT System Design.
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DOI：
10.1109/tns.2008.2006609
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发表时间：
2009-02-01
影响因子：
1.8
通讯作者：
Li N
中科院分区：
文献类型：
--
作者：
Meng LJ;Li N
在本文中，我们提出了使用改进的均匀Cramer-Rao型边界（MUCRB）来设计单光子发射层析成像（SPECT）系统。MUCRB是使用任意未知向量参数的估计量可获得的最低总方差，其平均梯度矩阵满足给定的约束。由于平均梯度与局部脉冲函数密切相关，MUCRB方法可用于评估给定SPECT系统设计可实现的空间分辨率和方差之间的基本权衡。作为一种可能的应用，这种方法允许人们基于最佳平均分辨率-方差权衡来比较不同的SPECT系统设计，这种权衡可以在感兴趣区域内的多个控制点上实现。MUCRB的配方允许对实际SPECT系统的物理方面进行详细建模，并且只要求适度的计算负载。它可以作为比较不同SPECT系统或孔径设计的分析性能指标。
In this paper, we present the use of modified uniform Cramer-Rao type bounds (MUCRB) for the design of single photon emission tomography (SPECT) systems. The MUCRB is the lowest attainable total variance using any estimator of an unknown vector parameter, whose mean gradient matrix satisfies a given constraint. Since the mean gradient is closely related to local impulse function, the MUCRB approach can be used to evaluate the fundamental tradeoffs between spatial resolution and variance that are achievable with a given SPECT system design. As a possible application, this approach allows one to compare different SPECT system designs based on the optimum average resolution-variance tradeoffs that can be achieved across multiple control-points inside a region-of-interest. The formulation of the MUCRB allows detailed modelling of physical aspects of practical SPECT systems and requests only a modest computation load. It can be used as an analytical performance index for comparing different SPECT system or aperture designs.