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To e or not to e in poisson image reconstruction

机译:泊松图像重建中的e与否

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In photon-limited image reconstruction, observations can be modeled as y ~ Poisson(f), where f := e is the intensity of interest and g is the log-intensity. Previous work in this area has considered applying regularizers such as the total variation semi-norm to either f or to g := log f. The former is less stable at very low intensity levels and makes selecting tuning parameters challenging. The latter is more amenable to tuning via cross-validation, particularly at low intensity levels, but exhibits numerical instabilities and slow convergence at high intensity levels. This paper describes a novel hybrid approach in which the regularization mode is locally adapted to the signal intensity level. The resulting method yields strong empirical performance relative to previous approaches.
机译:在光子受限的图像重建中,观测值可以建模为y〜Poisson(f),其中f:= e是关注强度,g是对数强度。该领域以前的工作已考虑将正则化器(例如总变化半范式)应用于f或g:= log f。前者在非常低的强度水平下不稳定,因此很难选择调谐参数。后者更适合通过交叉验证进行调整,尤其是在低强度级别时,但在高强度级别时显示出数值不稳定性和缓慢收敛。本文介绍了一种新颖的混合方法,其中正则化模式可以局部适应信号强度水平。相对于以前的方法,所得方法具有很强的经验性能。

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