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pro vyhledávání: '"SINGER, AMIT"'
Cryo-electron microscopy (Cryo-EM) is a widely-used technique for recovering the 3-D structure of biological molecules from a large number of experimentally generated noisy 2-D tomographic projection images of the 3-D structure, taken from unknown vi
Externí odkaz:
http://arxiv.org/abs/2410.06889
We devise fast and provably accurate algorithms to transform between an $N\times N \times N$ Cartesian voxel representation of a three-dimensional function and its expansion into the ball harmonics, that is, the eigenbasis of the Dirichlet Laplacian
Externí odkaz:
http://arxiv.org/abs/2406.05922
Autor:
Zhang, Andy, Mickelin, Oscar, Kileel, Joe, Verbeke, Eric J., Marshall, Nicholas F., Gilles, Marc Aurèle, Singer, Amit
Single particle cryogenic electron microscopy (cryo-EM) is an imaging technique capable of recovering the high-resolution 3-D structure of biological macromolecules from many noisy and randomly oriented projection images. One notable approach to 3-D
Externí odkaz:
http://arxiv.org/abs/2401.15183
Autor:
Singer, Amit, Yang, Ruiyi
In this paper we propose an algorithm for aligning three-dimensional objects when represented as density maps, motivated by applications in cryogenic electron microscopy. The algorithm is based on minimizing the 1-Wasserstein distance between the den
Externí odkaz:
http://arxiv.org/abs/2305.12310
A single-particle cryo-electron microscopy (cryo-EM) measurement, called a micrograph, consists of multiple two-dimensional tomographic projections of a three-dimensional molecular structure at unknown locations, taken under unknown viewing direction
Externí odkaz:
http://arxiv.org/abs/2303.02157
Principal component analysis (PCA) plays an important role in the analysis of cryo-EM images for various tasks such as classification, denoising, compression, and ab-initio modeling. We introduce a fast method for estimating a compressed representati
Externí odkaz:
http://arxiv.org/abs/2210.17501
Publikováno v:
Proceedings of the National Academy of Sciences 120.18 (2023): e2216507120
The number of noisy images required for molecular reconstruction in single-particle cryo-electron microscopy (cryo-EM) is governed by the autocorrelations of the observed, randomly-oriented, noisy projection images. In this work, we consider the effe
Externí odkaz:
http://arxiv.org/abs/2209.10531
We present a fast and numerically accurate method for expanding digitized $L \times L$ images representing functions on $[-1,1]^2$ supported on the disk $\{x \in \mathbb{R}^2 : |x|<1\}$ in the harmonics (Dirichlet Laplacian eigenfunctions) on the dis
Externí odkaz:
http://arxiv.org/abs/2207.13674
As experiments continue to increase in size and scope, a fundamental challenge of subsequent analyses is to recast the wealth of information into an intuitive and readily-interpretable form. Often, each measurement only conveys the relationship betwe
Externí odkaz:
http://arxiv.org/abs/2207.12658
Autor:
Gilles, Marc Aurèle, Singer, Amit
Background and Objective: Wilson statistics describe well the power spectrum of proteins at high frequencies. Therefore, it has found several applications in structural biology, e.g., it is the basis for sharpening steps used in cryogenic electron mi
Externí odkaz:
http://arxiv.org/abs/2202.09388