Geometric Interpretations of the Normalized Epipolar Error
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Abstract (arXiv)
In this work, we provide geometric interpretations of the normalized epipolar error. Most notably, we show that it is directly related to the following quantities: (1) the shortest distance between the two backprojected rays, (2) the dihedral angle between the two bounding epipolar planes, and (3) the L1-optimal angular reprojection error.
Key facts. Cited by 6 papers in the map (data through 7 Oct 2026). First posted on arXiv 4 Aug 2020.
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Citing papers per year: 2021: 2; 2022: 1; 2023: 2; 2024: 0; 2025: 1.
6 papers.
- 2021HARA: A Hierarchical Approach for Robust Rotation Averagingcited by 22
- 2022The Probabilistic Normal Epipolar Constraint for Frame-To-Frame Rotation Optimization under Uncertain Feature Positionscited by 8
- 2021Fast and Robust Certifiable Estimation of the Relative Pose Between Two Calibrated Camerascited by 5
- 2023From Correspondences to Pose: Non-minimal Certifiably Optimal Relative Pose without Disambiguationcited by 4
- 2023DAC: Detector-Agnostic Spatial Covariances for Deep Local Featurescited by 3
- 2025Visual Sync: Multi-Camera Synchronization via Cross-View Object Motioncited by 1
- 2025Visual Sync: Multi-Camera Synchronization via Cross-View Object Motion1 Dec 2025
- 2023From Correspondences to Pose: Non-minimal Certifiably Optimal Relative Pose without Disambiguation10 Dec 2023
- 2023DAC: Detector-Agnostic Spatial Covariances for Deep Local Features20 May 2023
- 2022The Probabilistic Normal Epipolar Constraint for Frame-To-Frame Rotation Optimization under Uncertain Feature Positions5 Apr 2022
- 2021HARA: A Hierarchical Approach for Robust Rotation Averaging16 Nov 2021
- 2021Fast and Robust Certifiable Estimation of the Relative Pose Between Two Calibrated Cameras21 Jan 2021