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 …

FAR: Flexible Accurate and Robust 6DoF Relative Camera Pose Estimation

C Rockwell, N Kulkarni, L **, JJ Park… - Proceedings of the …, 2024 - openaccess.thecvf.com
Estimating relative camera poses between images has been a central problem in computer
vision. Methods that find correspondences and solve for the fundamental matrix offer high …

The 8-point algorithm as an inductive bias for relative pose prediction by vits

C Rockwell, J Johnson… - … Conference on 3D Vision …, 2022 - ieeexplore.ieee.org
We present a simple baseline for directly estimating the relative pose (rotation and
translation, including scale) between two images. Deep methods have recently shown …

Learning to solve hard minimal problems

P Hruby, T Duff, A Leykin… - Proceedings of the IEEE …, 2022 - openaccess.thecvf.com
We present an approach to solving hard geometric optimization problems in the RANSAC
framework. The hard minimal problems arise from relaxing the original geometric …

Estimation contracts for outlier-robust geometric perception

L Carlone - Foundations and Trends® in Robotics, 2023 - nowpublishers.com
Outlier-robust estimation is a fundamental problem and has been extensively investigated
by statisticians and practitioners. The last few years have seen a convergence across …

Minimal solutions to generalized three-view relative pose problem

Y Ding, CH Chien, V Larsson… - Proceedings of the …, 2023 - openaccess.thecvf.com
For a generalized (or non-central) camera model, the minimal problem for two views of six
points has efficient solvers. However, minimal problems of three views with four points and …

Four-view geometry with unknown radial distortion

P Hruby, V Korotynskiy, T Duff… - Proceedings of the …, 2023 - openaccess.thecvf.com
We present novel solutions to previously unsolved problems of relative pose estimation from
images whose calibration parameters, namely focal lengths and radial distortion, are …

ARCS: Accurate rotation and correspondence search

L Peng, MC Tsakiris, R Vidal - Proceedings of the IEEE/CVF …, 2022 - openaccess.thecvf.com
This paper is about the old Wahba problem in its more general form, which we call"
simultaneous rotation and correspondence search". In this generalization we need to find a …

PLMP-point-line minimal problems in complete multi-view visibility

T Duff, K Kohn, A Leykin… - Proceedings of the IEEE …, 2019 - openaccess.thecvf.com
We present a complete classification of all minimal problems for generic arrangements of
points and lines completely observed by calibrated perspective cameras. We show that …

Globally optimal solution to inverse kinematics of 7DOF serial manipulator

P Trutman, MS El Din, D Henrion… - IEEE Robotics and …, 2022 - ieeexplore.ieee.org
The Inverse Kinematics (IK) problem is concerned with finding robot control parameters to
bring the robot into a desired position under the kinematics and joint limit constraints. We …