We propose original, accurate and computationally efficient procedures to calibrate fluorescence microscopes from micro-beads images. The designed algorithms present many singularities. First, they allow to estimate space-varying blurs, which is a critical feature for large fields of views. Second, we propose a novel approach for calibration: instead of describing an optical system through a single operator, we suggest to vary the imaging conditions (temperature, focus, active elements) to get indirect images of its different states. Our algorithms then allow to represent the microscope responses as a low-dimensional convex set of operators. This novel approach is shown to significantly improve the estimation on a wide-field microscope. It is deemed as an essential step towards the effective resolution of blind inverse problems. We illustrate the potential of the approach by designing an original procedure for blind image deblurring of point sources and show a massive improvement compared to commercial software.

中文翻译：

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学习显微镜的低维模型

我们提出了原始、准确和计算效率高的程序，以从微珠图像校准荧光显微镜。设计的算法呈现出许多奇点。首先，它们允许估计空间变化的模糊，这是大视野的关键特征。其次，我们提出了一种新的校准方法：我们建议改变成像条件（温度、焦点、有源元件）以获取其不同状态的间接图像，而不是通过单个操作员来描述光学系统。然后，我们的算法允许将显微镜响应表示为一组低维凸算子。这种新颖的方法被证明可以显着改善对宽视场显微镜的估计。它被认为是有效解决盲逆问题的重要一步。