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The method of common lines is a well-established reconstruction technique in cryogenic electron microscopy (cryo-EM), which can be used to extract the relative orientations of an object given tomographic projection images from different…

Numerical Analysis · Mathematics 2024-07-03 Michael Quellmalz , Peter Elbau , Otmar Scherzer , Gabriele Steidl

We propose a general method for deep learning based point cloud analysis, which is invariant to rotation on the inputs. Classical methods are vulnerable to rotation, as they usually take aligned point clouds as input. Principle Component…

Computer Vision and Pattern Recognition · Computer Science 2024-02-05 Shuqing Luo , Wei Gao

In cryo-electron microscopy (cryo-EM), a microscope generates a top view of a sample of randomly-oriented copies of a molecule. The problem of single particle reconstruction (SPR) from cryo-EM is to use the resulting set of noisy 2D…

Numerical Analysis · Mathematics 2014-09-16 Gene Katsevich , Alexander Katsevich , Amit Singer

Using diffusion models to solve inverse problems is a growing field of research. Current methods assume the degradation to be known and provide impressive results in terms of restoration quality and diversity. In this work, we leverage the…

Computer Vision and Pattern Recognition · Computer Science 2025-06-02 Charles Laroche , Andrés Almansa , Eva Coupete

We report a promising InSiO film that allows simultaneous observation of sample morphology and Kikuchi patterns in raster scan mode of scanning electron microscopy. This new experimental observation suggests potential mechanism beyond…

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

This paper introduces RaCo, a lightweight neural network designed to learn robust and versatile keypoints suitable for a variety of 3D computer vision tasks. The model integrates three key components: the repeatable keypoint detector, a…

Computer Vision and Pattern Recognition · Computer Science 2026-02-18 Abhiram Shenoi , Philipp Lindenberger , Paul-Edouard Sarlin , Marc Pollefeys

This paper presents a new Bayesian estimation technique for hidden Potts-Markov random fields with unknown regularisation parameters, with application to fast unsupervised K-class image segmentation. The technique is derived by first…

Computation · Statistics 2016-02-03 Marcelo Pereyra , Steve McLaughlin

Rotated object detection aims to identify and locate objects in images with arbitrary orientation. In this scenario, the oriented directions of objects vary considerably across different images, while multiple orientations of objects exist…

Computer Vision and Pattern Recognition · Computer Science 2023-09-22 Yifan Pu , Yiru Wang , Zhuofan Xia , Yizeng Han , Yulin Wang , Weihao Gan , Zidong Wang , Shiji Song , Gao Huang

Depictions of similar human body configurations can vary with changing viewpoints. Using only 2D information, we would like to enable vision algorithms to recognize similarity in human body poses across multiple views. This ability is…

Computer Vision and Pattern Recognition · Computer Science 2020-10-26 Jennifer J. Sun , Jiaping Zhao , Liang-Chieh Chen , Florian Schroff , Hartwig Adam , Ting Liu

Accurate global localization is critical for autonomous driving and robotics, but GNSS-based approaches often degrade due to occlusion and multipath effects. As an emerging alternative, cross-view pose estimation predicts the 3-DoF camera…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Juhye Park , Wooju Lee , Dasol Hong , Changki Sung , Youngwoo Seo , Dongwan Kang , Hyun Myung

Recently, object detection in aerial images has gained much attention in computer vision. Different from objects in natural images, aerial objects are often distributed with arbitrary orientation. Therefore, the detector requires more…

Computer Vision and Pattern Recognition · Computer Science 2021-03-16 Jiaming Han , Jian Ding , Nan Xue , Gui-Song Xia

In many computer vision tasks, we expect a particular behavior of the output with respect to rotations of the input image. If this relationship is explicitly encoded, instead of treated as any other variation, the complexity of the problem…

Computer Vision and Pattern Recognition · Computer Science 2018-07-06 Diego Marcos , Michele Volpi , Nikos Komodakis , Devis Tuia

Purpose: In the present work we describe the correction of diffusion-weighted MRI for site and scanner biases using a novel method based on invariant representation. Theory and Methods: Pooled imaging data from multiple sources are subject…

Quantitative Methods · Quantitative Biology 2020-02-04 Daniel Moyer , Greg Ver Steeg , Chantal M. W. Tax , Paul M. Thompson

Linear principal component analysis (PCA) learns (semi-)orthogonal transformations by orienting the axes to maximize variance. Consequently, it can only identify orthogonal axes whose variances are clearly distinct, but it cannot identify…

Machine Learning · Computer Science 2024-07-02 Fahdi Kanavati , Lucy Katsnith , Masayuki Tsuneki

The recent statistical theory of neural networks focuses on nonparametric denoising problems that treat randomness as additive noise. Variability in image classification datasets does, however, not originate from additive noise but from…

Statistics Theory · Mathematics 2025-08-19 Juntong Chen , Sophie Langer , Johannes Schmidt-Hieber

Collaborative representation-based classification (CRC) has demonstrated remarkable progress in the past few years because of its closed-form analytical solutions. However, the existing CRC methods are incapable of processing the nonlinear…

Computer Vision and Pattern Recognition · Computer Science 2022-01-25 Li Chu , Rui Wang , Xiao-Jun Wu

The technology for Visual Odometry (VO) that estimates the position and orientation of the moving object through analyzing the image sequences captured by on-board cameras, has been well investigated with the rising interest in autonomous…

Computer Vision and Pattern Recognition · Computer Science 2021-05-21 Ran Zhu , Mingkun Yang , Wang Liu , Rujun Song , Bo Yan , Zhuoling Xiao

An approach for the analysis of atomically resolved scanning transmission electron microscopy data with multiple ferroic variants in the presence of imaging non-idealities and chemical variabilities based on a rotationally invariant…

Motivated by the problem of determining the atomic structure of macromolecules using single-particle cryo-electron microscopy (cryo-EM), we study the sample and computational complexities of the sparse multi-reference alignment (MRA) model:…

Information Theory · Computer Science 2021-09-27 Tamir Bendory , Oscar Mickelin , Amit Singer