Autocorrelation analysis for cryo-EM with sparsity constraints: improved sample complexity and projection-based algorithms
The number of noisy images required for molecular reconstruction in single-particle
cryoelectron microscopy (cryo-EM) is governed by the autocorrelations of the observed …
cryoelectron microscopy (cryo-EM) is governed by the autocorrelations of the observed …
The Sample Complexity of Sparse Multireference Alignment and Single-Particle Cryo-Electron Microscopy
Multireference alignment (MRA) is the problem of recovering a signal from its multiple noisy
copies, each acted upon by a random group element. MRA is mainly motivated by single …
copies, each acted upon by a random group element. MRA is mainly motivated by single …
Orthogonal matrix retrieval with spatial consensus for 3D unknown view tomography
Unknown view tomography (UVT) reconstructs a 3D density map from its 2D projections at
unknown, random orientations. A line of work starting with Kam (1980) employs the method …
unknown, random orientations. A line of work starting with Kam (1980) employs the method …
An adversarial learning based approach for 2D unknown view tomography
The goal of 2D tomography is to recover an image given its projections from various views. It
is often presumed that viewing angles associated with the projections are known in …
is often presumed that viewing angles associated with the projections are known in …
Reconstructing point sets from distance distributions
S Huang, I Dokmanić - IEEE Transactions on Signal Processing, 2021 - ieeexplore.ieee.org
We address the problem of reconstructing a set of points on a line or a loop from their
unassigned noisy pairwise distances. When the points lie on a line, the problem is known as …
unassigned noisy pairwise distances. When the points lie on a line, the problem is known as …
Solving complex quadratic systems with full-rank random matrices
We tackle the problem of recovering a complex signal from quadratic measurements of the
form, where is a full-rank, complex random measurement matrix whose entries are …
form, where is a full-rank, complex random measurement matrix whose entries are …
Solving quadratic systems with full-rank matrices using sparse or generative priors
The problem of recovering a signal from a quadratic system with full-rank matrices frequently
arises in applications such as unassigned distance geometry and sub-wavelength imaging …
arises in applications such as unassigned distance geometry and sub-wavelength imaging …
Perfect Reconstruction of Classes of 3D Non-Bandlimited Signals from Tomographic Projections at Unknown Angles
R Wang, PL Dragotti - 2023 31st European Signal Processing …, 2023 - ieeexplore.ieee.org
In this paper, we consider the problem of reconstructing 3D objects from sampled 2D
tomographic projections at unknown angles. We consider 3D polyhedrons and we provide a …
tomographic projections at unknown angles. We consider 3D polyhedrons and we provide a …
Reconstructing classes of 3D FRI signals from sampled tomographic projections at unknown angles
Traditional sampling schemes often assume that the sampling locations are known.
Motivated by the recent bioimaging technique known as cryogenic electron microscopy …
Motivated by the recent bioimaging technique known as cryogenic electron microscopy …
[HTML][HTML] 二次测量回归的Reweighted Wirtinger Flow 算法及收敛性分析
单晓雅 - Advances in Applied Mathematics, 2024 - hanspub.org
二次测量回归模型在众多研究领域中受到了广泛关注, 例如相位恢复, 电力系统状态估计,
未标记距离几何问题等. 本文重点研究如何在二次测量回归模型中有效地恢复未知信号 …
未标记距离几何问题等. 本文重点研究如何在二次测量回归模型中有效地恢复未知信号 …