基于$\ell_2-\ell_0$约束优化的单分子定位
Single molecule localization by $\ell_2-\ell_0$ constrained optimization
摘要：
单分子定位显微镜（SMLM）通过在样品中存在的荧光分子的稀疏子集的激活和定位之间交替来实现高分辨率图像的获取。在这项工作中，本地化问题被制定为一个约束稀疏近似问题，这是解决重写的$\ell_0$伪范数使用一个辅助项。在模拟ISBI数据集的初步实验中，该算法产生了良好的结果，作为国家的最先进的高密度分子定位算法。
英文摘要：
Single Molecule Localization Microscopy (SMLM) enables the acquisition of high-resolution images by alternating between activation of a sparse subset of fluorescent molecules present in a sample and localization. In this work, the localization problem is formulated as a constrained sparse approximation problem which is resolved by rewriting the $\ell_0$ pseudo-norm using an auxiliary term. In the preliminary experiments with the simulated ISBI datasets the algorithm yields as good results as the state-of-the-art in high-density molecule localization algorithms.
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