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This paper proposes a geometric interpretation of the angles and scales which the orientation- and scale-covariant feature detectors, e.g. SIFT, provide. Two new general constraints are derived on the scales and rotations which can be used…

Computer Vision and Pattern Recognition · Computer Science 2019-07-01 Daniel Barath , Zuzana Kukelova

We propose two minimal solutions to the problem of relative pose estimation of (i) a calibrated camera from four points in two views and (ii) a calibrated generalized camera from five points in two views. In both cases, the relative…

Computer Vision and Pattern Recognition · Computer Science 2019-02-01 Evgeniy Martyushev , Bo Li

A minimal solution using two affine correspondences is presented to estimate the common focal length and the fundamental matrix between two semi-calibrated cameras - known intrinsic parameters except a common focal length. To the best of…

Computer Vision and Pattern Recognition · Computer Science 2017-06-07 Daniel Barath , Tekla Toth , Levente Hajder

Matching two images while estimating their relative geometry is a key step in many computer vision applications. For decades, a well-established pipeline, consisting of SIFT, RANSAC, and 8-point algorithm, has been used for this task.…

Computer Vision and Pattern Recognition · Computer Science 2019-09-13 Jia-Wang Bian , Yu-Huan Wu , Ji Zhao , Yun Liu , Le Zhang , Ming-Ming Cheng , Ian Reid

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

We present new methods for simultaneously estimating camera geometry and time shift from video sequences from multiple unsynchronized cameras. Algorithms for simultaneous computation of a fundamental matrix or a homography with unknown time…

Computer Vision and Pattern Recognition · Computer Science 2017-04-25 Cenek Albl , Zuzana Kukelova , Andrew Fitzgibbon , Jan Heller , Matej Smid , Tomas Pajdla

Local features e.g. SIFT and its affine and learned variants provide region-to-region rather than point-to-point correspondences. This has recently been exploited to create new minimal solvers for classical problems such as homography,…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Daniel Barath , Michal Polic , Wolfgang Förstner , Torsten Sattler , Tomas Pajdla , Zuzana Kukelova

We study the challenging problem of estimating the relative pose of three calibrated cameras from four point correspondences. We propose novel efficient solutions to this problem that are based on the simple idea of using four…

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

In this paper, we propose the first minimal solutions for estimating the semi-generalized homography given a perspective and a generalized camera. The proposed solvers use five 2D-2D image point correspondences induced by a scene plane. One…

Computer Vision and Pattern Recognition · Computer Science 2021-10-12 Snehal Bhayani , Torsten Sattler , Daniel Barath , Patrik Beliansky , Janne Heikkila , Zuzana Kukelova

We present a novel approach for RANSAC-based computation of the fundamental matrix based on epipolar homography decomposition. We analyze the geometrical meaning of the decomposition-based representation and show that it directly induces a…

Computer Vision and Pattern Recognition · Computer Science 2020-10-01 Gil Ben-Artzi

Given 2D point correspondences between an image pair, inferring the camera motion is a fundamental issue in the computer vision community. The existing works generally set out from the epipolar constraint and estimate the essential matrix,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-21 Guangyang Zeng , Qingcheng Zeng , Xinghan Li , Biqiang Mu , Jiming Chen , Ling Shi , Junfeng Wu

We propose two novel solvers for estimating the egomotion of a calibrated camera mounted to a moving vehicle from a single affine correspondence via recovering special homographies. For the first class of solvers, the sought plane is…

Computer Vision and Pattern Recognition · Computer Science 2020-08-14 Istan Gergo Gal , Daniel Barath , Levente Hajder

The problem of self-calibration of two cameras from a given fundamental matrix is one of the basic problems in geometric computer vision. Under the assumption of known principal points and square pixels, the well-known Bougnoux formula…

Computer Vision and Pattern Recognition · Computer Science 2025-11-07 Viktor Kocur , Daniel Kyselica , Zuzana Kukelova

In computer vision, finding point correspondence among images plays an important role in many applications, such as image stitching, image retrieval, visual localization, etc. Most of the research worksfocus on the matching of local feature…

Computer Vision and Pattern Recognition · Computer Science 2022-11-08 Yueh-Cheng Huang , Ching-Huai Yang , Chen-Tao Hsu , Jen-Hui Chuang

In this paper we present four cases of minimal solutions for two-view relative pose estimation by exploiting the affine transformation between feature points and we demonstrate efficient solvers for these cases. It is shown, that under the…

Computer Vision and Pattern Recognition · Computer Science 2020-04-07 Banglei Guan , Ji Zhao , Zhang Li , Fang Sun , Friedrich Fraundorfer

Camera pose estimation for two-view geometry traditionally relies on RANSAC. Normally, a multitude of image correspondences leads to a pool of proposed hypotheses, which are then scored to find a winning model. The inlier count is generally…

Computer Vision and Pattern Recognition · Computer Science 2023-06-05 Axel Barroso-Laguna , Eric Brachmann , Victor Adrian Prisacariu , Gabriel J. Brostow , Daniyar Turmukhambetov

Usual Structure-from-Motion (SfM) techniques require at least trifocal overlaps to calibrate cameras and reconstruct a scene. We consider here scenarios of reduced image sets with little overlap, possibly as low as two images at most seeing…

Computer Vision and Pattern Recognition · Computer Science 2017-03-29 Yohann Salaun , Renaud Marlet , Pascal Monasse

In computer vision, finding correct point correspondence among images plays an important role in many applications, such as image stitching, image retrieval, visual localization, etc. Most of the research works focus on the matching of…

Computer Vision and Pattern Recognition · Computer Science 2023-05-30 Yueh-Cheng Huang , Chen-Tao Hsu , Jen-Hui Chuang

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

We propose three novel solvers for estimating the relative pose of a multi-camera system from affine correspondences (ACs). A new constraint is derived interpreting the relationship of ACs and the generalized camera model. Using the…

Computer Vision and Pattern Recognition · Computer Science 2021-08-20 Banglei Guan , Ji Zhao , Daniel Barath , Friedrich Fraundorfer
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