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The goal of this paper is to estimate directly the rotation and translation between two stereoscopic images with the help of five homologous points. The methodology presented does not mix the rotation and translation parameters, which is…

Computer Vision and Pattern Recognition · Computer Science 2008-07-16 Mahzad Kalantari , Franck Jung , JeanPierre Guedon , Nicolas Paparoditis

How to efficiently and accurately handle image matching outliers is a critical issue in two-view relative estimation. The prevailing RANSAC method necessitates that the minimal point pairs be inliers. This paper introduces a linear relative…

Computer Vision and Pattern Recognition · Computer Science 2024-01-25 Qi Cai , Xinrui Li , Yuanxin Wu

We give a non-iterative solution to a particular case of the four-point three-views pose problem when three camera centers are collinear. Using the well-known Cayley representation of orthogonal matrices, we derive from the epipolar…

Computer Vision and Pattern Recognition · Computer Science 2011-09-15 Evgeniy Martyushev

We present a novel solution to the camera pose estimation problem, where rotation and translation of a camera between two views are estimated from matched feature points in the images. The camera pose estimation problem is traditionally…

Computer Vision and Pattern Recognition · Computer Science 2018-07-31 Kaveh Fathian , J. Pablo Ramirez-Paredes , Emily A. Doucette , J. Willard Curtis , Nicholas R. Gans

This work contributes an efficient algorithm to compute the Relative Pose problem (RPp) between calibrated cameras and certify the optimality of the solution, given a set of pair-wise feature correspondences affected by noise and probably…

Computer Vision and Pattern Recognition · Computer Science 2021-06-24 Mercedes Garcia-Salguero , Javier Gonzalez-Jimenez

Camera pose tracking attracts much interest both from academic and industrial communities, of which the methods based on planar markers are easy to be implemented. However, most of the existing methods need to identify multiple points in…

Computer Vision and Pattern Recognition · Computer Science 2019-07-25 Fulin Tang , Yihong Wu

In this paper, we develop a modified differential Structure from Motion (SfM) algorithm that can estimate relative pose from two consecutive frames despite of Rolling Shutter (RS) artifacts. In particular, we show that under constant…

Computer Vision and Pattern Recognition · Computer Science 2019-08-06 Bingbing Zhuang , Loong-Fah Cheong , Gim Hee Lee

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 there are only 30 minimal problems in total, no problems exist for…

Computer Vision and Pattern Recognition · Computer Science 2019-09-06 Timothy Duff , Kathlén Kohn , Anton Leykin , Tomas Pajdla

This paper proposes a method to compute camera 6Dof poses to achieve a user defined coverage. The camera placement problem is modeled as a combinatorial optimization where given the maximum number of cameras, a camera set is selected from a…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Akshay Malhotra , Dhananjay Singh , Tushar Dadlani , Luis Yoichi Morales

In this paper, we introduce a rotational primitive prediction based 6D object pose estimation using a single image as an input. We solve for the 6D object pose of a known object relative to the camera using a single image with occlusion.…

Computer Vision and Pattern Recognition · Computer Science 2020-07-06 Myung-Hwan Jeon , Ayoung Kim

Estimating the relative pose between two cameras is a fundamental step in many applications such as Structure-from-Motion. The common approach to relative pose estimation is to apply a minimal solver inside a RANSAC loop. Highly efficient…

Computer Vision and Pattern Recognition · Computer Science 2025-11-07 Charalambos Tzamos , Viktor Kocur , Yaqing Ding , Torsten Sattler , Zuzana Kukelova

In this paper we propose a global optimization-based approach to jointly matching a set of images. The estimated correspondences simultaneously maximize pairwise feature affinities and cycle consistency across multiple images. Unlike…

Computer Vision and Pattern Recognition · Computer Science 2015-12-03 Xiaowei Zhou , Menglong Zhu , Kostas Daniilidis

In this paper we present the first fast optimality certifier for the non-minimal version of the Relative Pose problem for calibrated cameras from epipolar constraints. The proposed certifier is based on Lagrangian duality and relies on a…

Computer Vision and Pattern Recognition · Computer Science 2021-02-22 Mercedes Garcia-Salguero , Jesus Briales , Javier Gonzalez-Jimenez

Line features are valid complements for point features in man-made environments. 3D-2D constraints provided by line features have been widely used in Visual Odometry (VO) and Structure-from-Motion (SfM) systems. However, how to accurately…

Robotics · Computer Science 2025-01-14 Zewen Xu , Yijia He , Hao Wei , Bo Xu , BinJian Xie , Yihong Wu

Robust 6D pose estimation of novel objects under challenging illumination remains a significant challenge, often requiring a trade-off between accurate initial pose estimation and efficient real-time tracking. We present a unified framework…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Xingjian Yang , Ashis G. Banerjee

This paper introduces the first minimal solvers that jointly estimate lens distortion and affine rectification from the image of rigidly-transformed coplanar features. The solvers work on scenes without straight lines and, in general, relax…

Computer Vision and Pattern Recognition · Computer Science 2020-04-13 James Pritts , Zuzana Kukelova , Viktor Larsson , Yaroslava Lochman , Ondřej Chum

We present a new method, called the pixel array method, for approximating all solutions in a bounding box for an arbitrary nonlinear system of relations. In contrast with other solvers, our approach requires that the user must specify which…

Numerical Analysis · Mathematics 2017-05-16 David I. Spivak , Magdalen R. C. Dobson , Sapna Kumari , Lawrence Wu

In this paper, we aim to estimate the relative pose and focal length between two views with known intrinsic parameters except for an unknown focal length from two affine correspondences (ACs). Cameras are commonly used in combination with…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Zhenbao Yu , Shirong Ye , Ronghe Jin , Shunkun Liang , Zibin Liu , Huiyun Zhang , Banglei Guan

We address the problem of epipolar geometry using the motion of silhouettes. Such methods match epipolar lines or frontier points across views, which are then used as the set of putative correspondences. We introduce an approach that…

Computer Vision and Pattern Recognition · Computer Science 2017-04-17 Gil Ben-Artzi

The $\mathrm{SE}(3)$ invariants of a pose include its rotation angle and screw translation. In this paper, we present a complete comprehensive study of the relative pose estimation problem for a calibrated camera constrained by known…

Robotics · Computer Science 2020-07-16 Bo Li , Evgeniy Martyushev , Gim Hee Lee