Snapshot of algebraic vision

J Kileel, K Kohn - arxiv preprint arxiv:2210.11443, 2022 - arxiv.org
In this survey article, we present interactions between algebraic geometry and computer
vision, which have recently come under the header of algebraic vision. The subject has …

Absolute Pose from One or Two Scaled and Oriented Features

J Ventura, Z Kukelova, T Sattler… - Proceedings of the …, 2024 - openaccess.thecvf.com
Keypoints used for image matching often include an estimate of the feature scale and
orientation. While recent work has demonstrated the advantages of using feature scales and …

Handbook on Leveraging Lines for Two-View Relative Pose Estimation

P Hruby, S Liu, R Pautrat, M Pollefeys… - … Conference on 3D …, 2024 - ieeexplore.ieee.org
We propose an approach for estimating the relative pose between calibrated image pairs by
jointly exploiting points, lines, and their coincidences in a hybrid manner. We investigate all …

GPU-based homotopy continuation for minimal problems in computer vision

CH Chien, H Fan, A Abdelfattah… - Proceedings of the …, 2022 - openaccess.thecvf.com
Abstract Systems of polynomial equations arise frequently in computer vision, especially in
multiview geometry problems. Traditional methods for solving these systems typically aim to …

Relative Pose Estimation of Calibrated Cameras with Known Invariants

B Li, E Martyushev, GH Lee - European conference on computer vision, 2020 - Springer
Abstract The SE (3) SE (3) invariants of a pose include its rotation angle and screw
translation. In this paper, we present a complete comprehensive study of the relative pose …

Trifocal Tensor and Relative Pose Estimation With Known Vertical Direction

T Li, Z Yu, B Guan, J Han, W Lv… - IEEE Robotics and …, 2024 - ieeexplore.ieee.org
This work presents two novel solvers for estimating the relative poses among views with
known vertical directions. The vertical directions of camera views can be easily obtained …

Solving the Plane-Sphere Ambiguity in Top-Down Structure-from-Motion

L Haalck, B Risse - Proceedings of the IEEE/CVF Winter …, 2024 - openaccess.thecvf.com
Drone-based land surveys and tracking applications with a moving camera require three-
dimensional reconstructions from videos recorded using a downward facing camera and are …

P1ac: Revisiting absolute pose from a single affine correspondence

J Ventura, Z Kukelova, T Sattler… - Proceedings of the …, 2023 - openaccess.thecvf.com
Affine correspondences have traditionally been used to improve feature matching over wide
baselines. While recent work has successfully used affine correspondences to solve various …

Hybrid and Non-minimal Planar Motion Estimation from Point Correspondences

JCD Simental, E Dunn - Proceedings of the Asian …, 2024 - openaccess.thecvf.com
We address the problem of relative camera pose estimation in the context of planar motion,
where the rotation axis and translation vectors are orthogonal to each other. For such …

Hybrid and Non-minimal Planar Motion Estimation from Point Correspondences

JC Dibene, E Dunn - Asian Conference on Computer Vision, 2024 - Springer
We address the problem of relative camera pose estimation in the context of planar motion,
where the rotation axis and translation vectors are orthogonal to each other. For such …