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We propose a method to reconstruct the 3-D molecular structure from micrographs collected at just one sample tilt angle in the random conical tilt scheme in cryo-electron microscopy. Our method uses autocorrelation analysis on the…

Data Analysis, Statistics and Probability · Physics 2021-01-12 Ti-Yen Lan , Nicolas Boumal , Amit Singer

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

Information transfer between triangle meshes is of great importance in computer graphics and geometry processing. To facilitate this process, a smooth and accurate map is typically required between the two meshes. While such maps can…

Graphics · Computer Science 2018-01-09 Danielle Ezuz , Justin Solomon , Mirela Ben-Chen

Differentiating signals from the background in micrographs is a critical initial step for cryogenic electron microscopy (cryo-EM), yet it remains laborious due to low signal-to-noise ratio (SNR), the presence of contaminants and densely…

Image and Video Processing · Electrical Eng. & Systems 2025-09-30 Szu-Chi Chung , Po-Cheng Chou

We present the first utterly self-supervised network for dense correspondence mapping between non-isometric shapes. The task of alignment in non-Euclidean domains is one of the most fundamental and crucial problems in computer vision. As 3D…

Computer Vision and Pattern Recognition · Computer Science 2021-12-15 Dvir Ginzburg , Dan Raviv

We study three-dimensional microlensing where two lenses are located at different distances along the line of sight. We formulate the lens equation in complex notations and recover several previous results. There are in total either 4 or 6…

Astrophysics of Galaxies · Physics 2015-06-17 Shude Mao , Hans J. Witt , Jin H. An

Background: Single-particle cryo-electron microscopy (cryo-EM) has become a popular tool for structural determination of biological macromolecular complexes. High-resolution cryo-EM reconstruction often requires hundreds of thousands of…

Data Analysis, Statistics and Probability · Physics 2017-09-05 Yanan Zhu , Qi Ouyang , Youdong Mao

Macromolecules change their shape (conformation) in the process of carrying out their functions. The imaging by cryo-electron microscopy of rapidly-frozen, individual copies of macromolecules (single particles) is a powerful and general…

Biomolecules · Quantitative Biology 2022-11-22 Bogdan Toader , Fred J. Sigworth , Roy R. Lederman

A major challenge in single-particle cryo-electron microscopy (cryo-EM) is that the orientations adopted by the 3D particles prior to imaging are unknown; yet, this knowledge is essential for high-resolution reconstruction. We present a…

Machine Learning · Computer Science 2021-04-14 Jelena Banjac , Laurène Donati , Michaël Defferrard

Cryogenic electron microscopy (cryo-EM) has become an enabling technology in drug discovery and in understanding molecular bases of disease by producing near-atomic resolution (less than 0.4 nm) 3D reconstructions of biological…

Computer Vision and Pattern Recognition · Computer Science 2020-07-23 Hong Xu , David E. Timm , Shireen Y. Elhabian

Kernel methods have been studied extensively in recent years. We propose a three-dimensional (3-D) Epanechnikov Mixture Regression (EMR) based on our Epanechnikov Kernel (EK) and realize a complete framework for image coding. In our…

Image and Video Processing · Electrical Eng. & Systems 2021-06-04 Boning Liu , Yan Zhao , Xiaomeng Jiang , Shigang Wang

In the past decade, deep conditional generative models have revolutionized the generation of realistic images, extending their application from entertainment to scientific domains. Single-particle cryo-electron microscopy (cryo-EM) is…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 Jiakai Zhang , Qihe Chen , Yan Zeng , Wenyuan Gao , Xuming He , Zhijie Liu , Jingyi Yu

In this paper we propose a modified cross correlation method to align images from the same class in single-particle electron microscopy of highly non-spherical structures. In this new method, First we coarsely align projection images, and…

Quantitative Methods · Quantitative Biology 2018-12-26 Wooram Park , Gregory S. Chirikjian

Cryo-electron microscopy (cryo-EM) emerges as a pivotal technology for determining the architecture of cells, viruses, and protein assemblies at near-atomic resolution. Traditional particle picking, a key step in cryo-EM, struggles with…

Biomolecules · Quantitative Biology 2024-04-17 Chentianye Xu , Xueying Zhan , Min Xu

This paper presents a graph bundling algorithm that agglomerates edges taking into account both spatial proximity as well as user-defined criteria in order to reveal patterns that were not perceivable with previous bundling techniques. Each…

Graphics · Computer Science 2015-04-13 Daniel C. Moura

We present three multi-scale similarity learning architectures, or DeepSim networks. These models learn pixel-level matching with a contrastive loss and are agnostic to the geometry of the considered scene. We establish a middle ground…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Mohamed Ali Chebbi , Ewelina Rupnik , Marc Pierrot-Deseilligny , Paul Lopes

We introduce the EMC algorithm for reconstructing a particle's 3D diffraction intensity from very many photon shot-noise limited 2D measurements, when the particle orientation in each measurement is unknown. The algorithm combines a…

Data Analysis, Statistics and Probability · Physics 2010-03-04 Duane Ne-Te Loh , Veit Elser

Near- and duplicate image detection is a critical concern in the field of medical imaging. Medical datasets often contain similar or duplicate images from various sources, which can lead to significant performance issues and evaluation…

Computer Vision and Pattern Recognition · Computer Science 2024-06-14 Tuan Truong , Farnaz Khun Jush , Matthias Lenga

Carotid atherosclerosis is a focal disease at the bifurcations of the carotid artery. To quantitatively monitor the local changes in the vessel-wall-plus-plaque thickness (VWT) and compare the VWT distributions for different patients or for…

Computational Geometry · Computer Science 2020-10-30 Gary P. T. Choi , Bernard Chiu , Chris H. Rycroft

We consider the problem of recovering the three-dimensional atomic structure of a flexible macromolecule from a heterogeneous cryo-EM dataset. The dataset contains noisy tomographic projections of the electrostatic potential of the…

Image and Video Processing · Electrical Eng. & Systems 2023-02-08 Carlos Esteve-Yagüe , Willem Diepeveen , Ozan Öktem , Carola-Bibiane Schönlieb