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Reconstructing MR images using deep neural networks from undersampled k-space data without using fully sampled training references offers significant value in practice, which is a self-supervised regression problem calling for effective…

Image and Video Processing · Electrical Eng. & Systems 2025-01-22 Liyan Sun , Shaocong Yu , Chi Zhang , Xinghao Ding

Cryogenic electron microscopy is widely used in structural biology, but its resolution is often limited by the dynamics of the macromolecule. Here, we developed a refinement protocol based on Gaussian mixture models that integrates particle…

Quantitative Methods · Quantitative Biology 2023-08-31 Muyuan Chen , Michael F. Schmid , Wah Chiu

Cryo-electron tomography (Cryo-ET) is a 3D imaging technique that enables the systemic study of shape, abundance, and distribution of macromolecular structures in single cells in near-atomic resolution. However, the systematic and efficient…

Biomolecules · Quantitative Biology 2021-06-29 Kai Yi , Jianye Pang , Yungeng Zhang , Xiangrui Zeng , Min Xu

While electron microscopy offers crucial atomic-resolution insights into structure-property relationships, radiation damage severely limits its use on beam-sensitive materials like proteins and 2D materials. To overcome this challenge, we…

Computer Vision and Pattern Recognition · Computer Science 2025-07-18 Zifei Wang , Zian Mao , Xiaoya He , Xi Huang , Haoran Zhang , Chun Cheng , Shufen Chu , Tingzheng Hou , Xiaoqin Zeng , Yujun Xie

This work presents an approach for automating the discretization and approximation procedures in constructing digital representations of composites from Micro-CT images featuring intricate microstructures. The proposed method is guided by…

Machine Learning · Computer Science 2025-09-11 Yanran Wang , Jonghyuk Baek , Yichun Tang , Jing Du , Mike Hillman , J. S. Chen

The recent improvements in cryo-electron microscopy (cryo-EM) in the past few years are now allowing to observe molecular complexes at atomic resolution. As a consequence, numerous structures derived from cryo-EM are now available in the…

Biomolecules · Quantitative Biology 2020-05-04 Mikael Trellet , Gydo van Zundert , Alexandre M. J. J. Bonvin

We revisit the topic of common lines between projection images in single particle cryo-electron microscopy (cryo-EM). We derive a novel low-rank constraint on a certain $2n \times n$ matrix storing properly-scaled basis vectors for the…

Optimization and Control · Mathematics 2024-06-10 Tommi Muller , Adriana L. Duncan , Eric J. Verbeke , Joe Kileel

This paper tackles the task of uncalibrated photometric stereo for 3D object reconstruction, where both the object shape, object reflectance, and lighting directions are unknown. This is an extremely difficult task, and the challenge is…

Computer Vision and Pattern Recognition · Computer Science 2022-07-19 Junxuan Li , Hongdong Li

Schemes for X-ray imaging single protein molecules using new x-ray sources, like x-ray free electron lasers (XFELs), require processing many frames of data that are obtained by taking temporally short snapshots of identical molecules, each…

Data Analysis, Statistics and Probability · Physics 2015-06-17 Kartik Ayyer , Hugh T. Philipp , Mark W. Tate , Veit Elser , Sol M. Gruner

The blind structured illumination microscopy (SIM) strategy proposed in (Mudry et al., 1992) is fully re-founded in this paper, unveiling the central role of the sparsity of the illumination patterns in the mechanism that drives…

Data Analysis, Statistics and Probability · Physics 2017-04-26 Simon Labouesse , Awoke Negash , Jérôme Idier , Sébastien Bourguignon , Thomas Mangeat , Penghuan Liu , Anne Sentenac , Marc Allain

A common task in single particle electron cryomicroscopy (cryo-EM) is the rigid alignment of images and/or volumes. In the context of images, a rigid alignment involves estimating the inner-product between one image of $N\times N$ pixels…

Numerical Analysis · Mathematics 2022-12-07 Aaditya V. Rangan

Advances in imagery at atomic and near-atomic resolution, such as cryogenic electron microscopy (cryo-EM), have led to an influx of high resolution images of proteins and other macromolecular structures to data banks worldwide. Producing a…

Quantitative Methods · Quantitative Biology 2021-04-06 Nathan Ranno , Dong Si

Structured illumination microscopy (SIM) is an important super-resolution based microscopy technique that breaks the diffraction limit and enhances optical microscopy systems. With the development of biology and medical engineering, there…

Image and Video Processing · Electrical Eng. & Systems 2021-11-18 Xi Cheng , Jun Li , Qiang Dai , Zhenyong Fu , Jian Yang

We study a class of orbit recovery problems in which we observe independent copies of an unknown element of $\mathbb{R}^p$, each linearly acted upon by a random element of some group (such as $\mathbb{Z}/p$ or $\mathrm{SO}(3)$) and then…

Statistics Theory · Mathematics 2023-06-26 Afonso S. Bandeira , Ben Blum-Smith , Joe Kileel , Amelia Perry , Jonathan Niles-Weed , Alexander S. Wein

We propose an atom-superposition-based method for simulating spin-polarized scanning tunneling microscopy (SP-STM) from first principles. Our approach provides bias dependent STM images in high spatial resolution, with the capability of…

Materials Science · Physics 2011-11-28 Krisztián Palotás , Werner A. Hofer , László Szunyogh

Cryo-electron microscopy (cryo-EM) studies using single particle reconstruction are extensively used to reveal structural information on macromolecular complexes. Aiming at the highest achievable resolution, state of the art electron…

Accurate orientation estimation is a crucial component of 3D molecular structure reconstruction, both in single-particle cryo-electron microscopy (cryo-EM) and in the increasingly popular field of cryo-electron tomography (cryo-ET). The…

Applications · Statistics 2026-02-25 Sheng Xu , Amnon Balanov , Amit Singer , Tamir Bendory

We propose a direct reconstruction algorithm for Computed Tomography, based on a local fusion of a few preliminary image estimates by means of a non-linear fusion rule. One such rule is based on a signal denoising technique which is…

Computer Vision and Pattern Recognition · Computer Science 2010-04-27 Joseph Shtok , Michael Zibulevsky , Michael Elad

AI-based in silico methods have improved protein structure prediction but often struggle with large protein complexes (PCs) involving multiple interacting proteins due to missing 3D spatial cues. Experimental techniques like Cryo-EM are…

Classifying structural variability in noisy projections of biological macromolecules is a central problem in Cryo-EM. In this work, we build on a previous method for estimating the covariance matrix of the three-dimensional structure…

Computer Vision and Pattern Recognition · Computer Science 2015-12-08 Joakim Andén , Eugene Katsevich , Amit Singer
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