Single-particle reconstruction in cryo-EM based on three-dimensional weighted nuclear norm minimization

Chaoyan Huang, Tingting Wu, Juncheng Li, Bin Dong, Tieyong Zeng

Abstract: Highlights•Firstly, to overcome the over-smooth and the staircase effects of the TV-based reconstruction models, we apply the low rank-based model to better suppress the noise in the SPR task.•Secondly, treating different features the same is not conducive to the use of features, resulting in unsatisfactory reconstruction results. We use the weighted nuclear norm to assign different weights to different features so that the model can make better use of features and reconstruct results with better structure and details.•Thirdly, as the SPR task has a three-dimensional structure, we extend the WNNM model to three-dimension and give the theoretical analysis of the three-dimensional weighted nuclear norm minimization (3DWNNM).•Fourthly, we design an efficient and theoretically guaranteed algorithm for the proposed model, which can solve the model accurately. Experiments on SPR in cryo-EM show that the proposed method can provide more outstanding reconstruction results than several state-of-the-art methods.