论文标题
适用于天文学成像的超级分辨率的最佳传输
Optimal Transport for Super Resolution Applied to Astronomy Imaging
论文作者
论文摘要
由于物理定律限制了可能的成像分辨率，因此超级分辨率是光学元件的重要工具，尤其是在星际量表上。我们建议使用最佳运输和熵进行超级分辨率应用。我们证明，当知道稀疏性并且噪声或失真较小时，重建是准确的。我们证明了优化器对噪声和扰动是稳定且鲁棒的。我们将这种方法与最先进的卷积神经网络的状态进行了比较，并获得了相似的结果，其计算成本和更大的方法学灵活性。
Super resolution is an essential tool in optics, especially on interstellar scales, due to physical laws restricting possible imaging resolution. We propose using optimal transport and entropy for super resolution applications. We prove that the reconstruction is accurate when sparsity is known and noise or distortion is small enough. We prove that the optimizer is stable and robust to noise and perturbations. We compare this method to a state of the art convolutional neural network and get similar results for much less computational cost and greater methodological flexibility.
