论文标题
计算衍射成像中的最佳测量配置
Optimal Measurement Configuration in Computational Diffractive Imaging
论文作者
论文摘要
与反射性和折射光学相比，衍射镜头最近已应用于X射线和紫外线制度中的多光谱成像域，它们可以达到很高的分辨率。通常，通过在焦平面上进行测量来重建光谱成分。但是，可以通过优化测量配置来提高重建质量。在这项工作中，我们调整了一个顺序的向后选择算法来搜索一种配置，该配置最小化了预期的重建误差。通过将正向系统近似为圆形卷积并在源和噪声上做出假设，我们大大降低了算法的复杂性。数值结果表明，与标准配置相比，该算法发现的配置显着提高了重建性能。
Diffractive lenses have recently been applied to the domain of multispectral imaging in the X-ray and UV regimes where they can achieve very high resolution as compared to reflective and refractive optics. Conventionally, spectral components are reconstructed by taking measurements at the focal planes. However, the reconstruction quality can be improved by optimizing the measurement configuration. In this work, we adapt a sequential backward selection algorithm to search for a configuration which minimizes expected reconstruction error. By approximating the forward system as a circular convolution and making assumptions on the source and noise, we greatly reduce the complexity of the algorithm. Numerical results show that the configuration found by the algorithm significantly improves the reconstruction performance compared to a standard configuration.
