Single-Particle 3d Reconstruction Beyond The Nyquist Frequency

The Nyquist frequency dictates the highest resolution of information in an image. However, this upper-limit only stands for a single image. In a set of images from the same object but with random inter-frame translation, the ensemble actually contains information beyond the Nyquist frequency. In this work, an algorithm is proposed and validated to retrieve such information in 2D and 3D space. Its application in single-particle electron microscopy can lead to high-throughput data collection and density map reconstruction at higher resolution.