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Barankin bound: a model of detection with location uncertainty

机译:Barankin界:具有位置不确定性的检测模型

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Abstract: We have developed generalized ideal observer models relating human performance in detection tasks to physical properties of medical imaging systems, such as spatial resolution and noise power spectrum. Our approach treats detection as a special case of amplitude estimation, with certain other aspects of the signal, e.g., size or location, considered additional unknown parameters. The models are based on the Barankin lower bound on the precision with which the quantities of interest can be determined. We have found the Barankin bound to be particularly promising in predicting human performance in detection with location uncertainty. Its predictions differ from those of other proposed models in two respects. First, our results suggest that the degradation in performance due to location uncertainty depends on resolution. Second, we have shown analytically that for a given search area, the ratio of ideal observer performance when location is unknown to performance when location is known is nearly independent of signal size. This differs from previously proposed models which predict that the effect of location uncertainty depends on the ratio of signal size to search area, but agrees with the results of reported perceptual experiments testing this question. !19
机译:摘要:我们已经开发了广义的理想观察者模型,该模型将检测任务中的人类表现与医学成像系统的物理特性(例如空间分辨率和噪声功率谱)相关联。我们的方法将检测作为幅度估计的一种特殊情况,同时将信号的某些其他方面(例如大小或位置)考虑为其他未知参数。这些模型基于Barankin下界,该界上的精度可以确定感兴趣的数量。我们发现,Barankin绑定在预测具有位置不确定性的检测中的人类表现方面特别有前途。它的预测在两个方面与其他提议的模型不同。首先,我们的结果表明,由于位置不确定而导致的性能下降取决于分辨率。其次,我们已经分析地表明,对于给定的搜索区域,未知位置时理想观察者性能与已知位置时性能的比率几乎与信号大小无关。这不同于先前提出的模型,该模型预测位置不确定性的影响取决于信号大小与搜索区域的比率,但与测试此问题的已报道感知实验的结果一致。 !19

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