Aspire v0.13.1¶
Algorithms for Single Particle Reconstruction¶
Our project aims to develop mathematical theory, improved algorithms, and software for 3-D molecular structure determination using cryo-EM. Our methods use a combination of tools from different areas of mathematics, statistics, and computer science, such as computerized tomography, optimization (convex and non-convex), random matrix theory, signal and image processing, linear and nonlinear dimensionality reduction, randomized algorithms in numerical linear algebra, and representation theory.
Indices and tables¶
References¶
Ayelet Heimowitz, Joakim Andén, and Amit Singer. APPLE picker: automatic particle picking, a low-effort cryo-em framework. CoRR, 2018. URL: http://arxiv.org/abs/1802.00469, arXiv:1802.00469.
Yoel Shkolnisky and Amit Singer. Viewing direction estimation in cryo-em using synchronization. SIAM J. Imaging Sci., 5(3):1088–1110, 2012. URL: https://doi.org/10.1137/120863642, doi:10.1137/120863642.
Amit Singer and Yoel Shkolnisky. Three-dimensional structure determination from common lines in cryo-em by eigenvectors and semidefinite programming. SIAM J. Imaging Sciences, 4(2):543–572, 2011. URL: https://doi.org/10.1137/090767777, doi:10.1137/090767777.