论文标题
加权-CEL0稀疏正规化，用于用泊松数据在超分辨率显微镜中分子定位的分子定位
Weighted-CEL0 sparse regularisation for molecule localisation in super-resolution microscopy with Poisson data
论文作者
论文摘要
我们提出了一个连续的非凸变量模型，用于单个分子定位显微镜（SMLM）超分辨率，以克服光衍射屏障。也就是说，我们考虑了最近引入的连续$ \ ell_0 $（cel0）罚款的变体，以放松加权的$ \ ell_2- \ ell_0 $问题 - $ \ ell_2 $ data fidelity被认为是为了建模信号依赖性的poisson噪声。对于相关最小化问题的数值解决方案，我们考虑了一个迭代重新加权的$ \ ell_1 $（irl1）策略，我们详细介绍了有效的参数计算策略。我们报告定性和定量分子定位结果，表明拟议的加权-CEL0（WCEL0）模型改善了通过CEL0获得的结果和最新的高密度SMLM ISBI 2013数据集中的最先进的方法。
We propose a continuous non-convex variational model for Single Molecule Localisation Microscopy (SMLM) super-resolution in order to overcome light diffraction barriers. Namely, we consider a variation of the Continuous Exact $\ell_0$ (CEL0) penalty recently introduced to relax the $\ell_2-\ell_0$ problem where a weighted-$\ell_2$ data fidelity is considered to model signal-dependent Poisson noise. For the numerical solution of the associated minimisation problem, we consider an iterative reweighted $\ell_1$ (IRL1) strategy for which we detail efficient parameter computation strategies. We report qualitative and quantitative molecule localisation results showing that the proposed weighted-CEL0 (wCEL0) model improves the results obtained by CEL0 and state-of-the art deep-learning approaches for the high-density SMLM ISBI 2013 dataset.
