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Introducing a reduced particle stiffness in discrete element method (DEM) allows for bigger time steps and therefore fewer total iterations in a simulation. Although this approach works well for dry non-adhesive particles, it has been shown…

Soft Condensed Matter · Physics 2018-10-17 Sheng Chen , Wenwei Liu , Shuiqing Li

The field of cryo-electron microscopy has made astounding advancements in the past few years, mainly due to advancements in electron detectors' technology. Yet, one of the key open challenges of the field remains the processing of…

Computer Vision and Pattern Recognition · Computer Science 2019-10-04 Yariv Aizenbud , Yoel Shkolnisky

Due to the extremely low signal-to-noise ratio (SNR) and unknown poses (projection angles and image shifts) in cryo-electron microscopy (cryo-EM) experiments, reconstructing 3D volumes from 2D images is very challenging. In addition to…

Image and Video Processing · Electrical Eng. & Systems 2024-04-24 Weijie Chen , Yuhang Wang , Lin Yao

Computational fluid dynamics and discrete element method (CFD-DEM) coupling is an efficient and powerful tool to simulate particle-fluid systems. However, current volume-averaged CFD-DEM relying on direct grid-based mapping between the…

Fluid Dynamics · Physics 2025-06-12 Yuxiang Liu , Lu Jing , Xudong Fu , Huabin Shi

We target the problem of estimating the center of mass of noisy 2-D images. We assume that the noise dominates the image, and thus many standard approaches are vulnerable to estimation errors. Our approach uses a surrogate function to the…

Image and Video Processing · Electrical Eng. & Systems 2021-03-04 Ayelet Heimowitz , Nir Sharon , Amit Singer

Multiple approaches to use deep learning for image restoration have recently been proposed. Training such approaches requires well registered pairs of high and low quality images. While this is easily achievable for many imaging modalities,…

Computer Vision and Pattern Recognition · Computer Science 2024-10-30 Tim-Oliver Buchholz , Mareike Jordan , Gaia Pigino , Florian Jug

We present a geometry-aware method for heterogeneous single-particle cryogenic electron microscopy (cryo-EM) reconstruction that predicts atomic backbone conformations. To incorporate protein-structure priors, we represent the backbone as a…

Computer Vision and Pattern Recognition · Computer Science 2026-03-09 Jonathan Krook , Axel Janson , Joakim Andén , Melanie Weber , Ozan Öktem

In this work we develop and analyze an adaptive finite element method for efficiently solving electrical impedance tomography -- a severely ill-posed nonlinear inverse problem for recovering the conductivity from boundary voltage…

Numerical Analysis · Mathematics 2019-05-16 Bangti Jin , Yifeng Xu , Jun Zou

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…

Numerical Analysis · Mathematics 2022-11-01 Nicholas F. Marshall , Oscar Mickelin , Yunpeng Shi , Amit Singer

We present a three-dimensional (3D) common-refinement method for non-matching meshes between discrete non-overlapping subdomains of incompressible fluid and nonlinear hyperelastic structure. To begin, we first investigate the accuracy of…

Computational Physics · Physics 2018-08-15 Yulong Li , Yun Zhi Law , Vaibhav Joshi , Rajeev Kumar Jaiman

We propose an energy-stable parametric finite element method (ES-PFEM) for simulating solid-state dewetting of thin films in two dimensions via a sharp-interface model, which is governed by surface diffusion and contact line (point)…

Numerical Analysis · Mathematics 2020-06-08 Quan Zhao , Wei Jiang , Weizhu Bao

Modeling the localized intensive deformation in a damaged solid requires highly refined discretization for accurate prediction, which significantly increases the computational cost. Although adaptive model refinement can be employed for…

Computational Engineering, Finance, and Science · Computer Science 2022-05-18 Jonghyuk Baek , Jiun-Shyan Chen , Kristen Susuki

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…

Numerical Analysis · Mathematics 2025-11-17 Jeremy Hoskins , Yuehaw Khoo , Oscar Mickelin , Amit Singer , Yuguan Wang

Cryo-EM is a transformational paradigm in molecular biology where computational methods are used to infer 3D molecular structure at atomic resolution from extremely noisy 2D electron microscope images. At the forefront of research is how to…

Quantitative Methods · Quantitative Biology 2025-06-12 Shayan Shekarforoush , David B. Lindell , Marcus A. Brubaker , David J. Fleet

Diffraction analysis in four dimensional scanning transmission electron microscopy now enables the mapping of local structures including symmetry, strain, and polarization of materials. However, measuring the distribution of these…

Materials Science · Physics 2024-06-19 Tim B. Eldred , Jacob G. Smith , Wenpei Gao

Cryo-electron tomography (cryo-ET) enables 3D visualization of cellular structures. Accurate reconstruction of high-resolution volumes is complicated by the very low signal-to-noise ratio and a restricted range of sample tilts. Recent…

Image and Video Processing · Electrical Eng. & Systems 2026-03-03 Vinith Kishore , Valentin Debarnot , AmirEhsan Khorashadizadeh , Ricardo D. Righetto , Benjamin D. Engel , Ivan Dokmanić

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

Constructing a quantum description of crystals from scattering experiments is of paramount importance to explain their macroscopic properties and to evaluate the pertinence of theoretical ab-initio models. While reconstruction methods of…

Materials Science · Physics 2019-04-19 Benjamin De Bruyne , Jean-Michel Gillet

We propose a novel framework for the discretisation of multi-label problems on arbitrary, continuous domains. Our work bridges the gap between general FEM discretisations, and labeling problems that arise in a variety of computer vision…

Computer Vision and Pattern Recognition · Computer Science 2017-10-06 Audrey Richard , Christoph Vogel , Maros Blaha , Thomas Pock , Konrad Schindler

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