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Main Authors: Shah, Kaishva Chintan, Boddapati, Virajith, Gurumoorthy, Karthik S., Kaledhonkar, Sandip, Rajwade, Ajit
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2507.14924
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author Shah, Kaishva Chintan
Boddapati, Virajith
Gurumoorthy, Karthik S.
Kaledhonkar, Sandip
Rajwade, Ajit
author_facet Shah, Kaishva Chintan
Boddapati, Virajith
Gurumoorthy, Karthik S.
Kaledhonkar, Sandip
Rajwade, Ajit
contents Accurate pose estimation and shift correction are key challenges in cryo-EM due to the very low SNR, which directly impacts the fidelity of 3D reconstructions. We present an approach for pose estimation in cryo-EM that leverages multi-dimensional scaling (MDS) techniques in a robust manner to estimate the 3D rotation matrix of each particle from pairs of dihedral angles. We express the rotation matrix in the form of an axis of rotation and a unit vector in the plane perpendicular to the axis. The technique leverages the concept of common lines in 3D reconstruction from projections. However, common line estimation is ridden with large errors due to the very low SNR of cryo-EM projection images. To address this challenge, we introduce two complementary components: (i) a robust joint optimization framework for pose estimation based on an $\ell_1$-norm objective or a similar robust norm, which simultaneously estimates rotation axes and in-plane vectors while exactly enforcing unit norm and orthogonality constraints via projected coordinate descent; and (ii) an iterative shift correction algorithm that estimates consistent in-plane translations through a global least-squares formulation. While prior approaches have leveraged such embeddings and common-line geometry for orientation recovery, existing formulations typically rely on $\ell_2$-based objectives that are sensitive to noise, and enforce geometric constraints only approximately. These choices, combined with a sequential pipeline structure, can lead to compounding errors and suboptimal reconstructions in low-SNR regimes. Our pipeline consistently outperforms prior methods in both Euler angle accuracy and reconstruction fidelity, as measured by the Fourier Shell Correlation (FSC).
format Preprint
id arxiv_https___arxiv_org_abs_2507_14924
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle 3-Dimensional CryoEM Pose Estimation and Shift Correction Pipeline
Shah, Kaishva Chintan
Boddapati, Virajith
Gurumoorthy, Karthik S.
Kaledhonkar, Sandip
Rajwade, Ajit
Computer Vision and Pattern Recognition
Accurate pose estimation and shift correction are key challenges in cryo-EM due to the very low SNR, which directly impacts the fidelity of 3D reconstructions. We present an approach for pose estimation in cryo-EM that leverages multi-dimensional scaling (MDS) techniques in a robust manner to estimate the 3D rotation matrix of each particle from pairs of dihedral angles. We express the rotation matrix in the form of an axis of rotation and a unit vector in the plane perpendicular to the axis. The technique leverages the concept of common lines in 3D reconstruction from projections. However, common line estimation is ridden with large errors due to the very low SNR of cryo-EM projection images. To address this challenge, we introduce two complementary components: (i) a robust joint optimization framework for pose estimation based on an $\ell_1$-norm objective or a similar robust norm, which simultaneously estimates rotation axes and in-plane vectors while exactly enforcing unit norm and orthogonality constraints via projected coordinate descent; and (ii) an iterative shift correction algorithm that estimates consistent in-plane translations through a global least-squares formulation. While prior approaches have leveraged such embeddings and common-line geometry for orientation recovery, existing formulations typically rely on $\ell_2$-based objectives that are sensitive to noise, and enforce geometric constraints only approximately. These choices, combined with a sequential pipeline structure, can lead to compounding errors and suboptimal reconstructions in low-SNR regimes. Our pipeline consistently outperforms prior methods in both Euler angle accuracy and reconstruction fidelity, as measured by the Fourier Shell Correlation (FSC).
title 3-Dimensional CryoEM Pose Estimation and Shift Correction Pipeline
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2507.14924