Manifold Denoising with Application to Electron Microscopy

Learn about manifold denoising techniques and their applications in electron microscopy in this 56-minute lecture delivered by Professor Yoel Shkolnisky from Tel-Aviv University. Explore a novel method for denoising two-dimensional images that lie on a common manifold, particularly focusing on electron microscope imagery. Discover how to construct Fourier-like basis functions on manifolds and apply filtering techniques using a subset of these functions. Understand how to estimate essential quantities using only input 2D images and leverage infinite in-plane rotations for enhanced results. Gain insights from an accomplished researcher who has received multiple prestigious awards including the Alon Fellowship, Krill Prize, ERC Consolidator grant, and the 2022 Abarbanel Prize in Applied Mathematics, and whose expertise spans computational harmonic analysis, scientific computing, and cryo-electron microscopy data processing.