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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

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

We aim at estimating the fundamental matrix in two views from five correspondences of rotation invariant features obtained by e.g.\ the SIFT detector. The proposed minimal solver first estimates a homography from three correspondences…

Computer Vision and Pattern Recognition · Computer Science 2018-03-02 Daniel Barath

We present a novel method to compute the relative pose of multi-camera systems using two affine correspondences (ACs). Existing solutions to the multi-camera relative pose estimation are either restricted to special cases of motion, have…

Computer Vision and Pattern Recognition · Computer Science 2023-06-23 Banglei Guan , Ji Zhao

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

Two solvers are proposed for estimating the extrinsic camera parameters from a single affine correspondence assuming general planar motion. In this case, the camera movement is constrained to a plane and the image plane is orthogonal to the…

Computer Vision and Pattern Recognition · Computer Science 2019-12-16 Levente Hajder , Daniel Barath

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

The technique requires the epipolar geometry to be pre-estimated between each image pair. It exploits the constraints which the camera movement implies, in order to apply a closed-form correction to the parameters of the input affinities.…

Computer Vision and Pattern Recognition · Computer Science 2019-05-03 Ivan Eichhardt , Daniel Barath

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

Mobile devices equipped with a multi-camera system and an inertial measurement unit (IMU) are widely used nowadays, such as self-driving cars. The task of relative pose estimation using visual and inertial information has important…

Computer Vision and Pattern Recognition · Computer Science 2025-12-22 Zhenbao Yu , Banglei Guan , Shunkun Liang , Zibin Liu , Yang Shang , Qifeng Yu

Correspondences estimation or feature matching is a key step in the image-based 3D reconstruction problem. In this paper, we propose two algebraic properties for correspondences. The first is a rank deficient matrix construct from the…

Computational Geometry · Computer Science 2022-05-04 Trung-Kien Le , Ping Li

We consider the problem of two-view matching under significant viewpoint changes with view synthesis. We propose two novel methods, minimizing the view synthesis overhead. The first one, named DenseAffNet, uses dense affine shapes estimates…

Computer Vision and Pattern Recognition · Computer Science 2022-08-01 Václav Vávra , Dmytro Mishkin , Jiří Matas

We revisit certain problems of pose estimation based on 3D--2D correspondences between features which may be points or lines. Specifically, we address the two previously-studied minimal problems of estimating camera extrinsics from $p \in…

Computer Vision and Pattern Recognition · Computer Science 2024-04-26 Petr Hruby , Timothy Duff , Marc Pollefeys

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 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

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

We propose AffineGlue, a method for joint two-view feature matching and robust estimation that reduces the combinatorial complexity of the problem by employing single-point minimal solvers. AffineGlue selects potential matches from…

Computer Vision and Pattern Recognition · Computer Science 2023-07-31 Daniel Barath , Dmytro Mishkin , Luca Cavalli , Paul-Edouard Sarlin , Petr Hruby , Marc Pollefeys

We introduce new linear mathematical formulations to calculate the focal length of a camera in an active platform. Through mathematical derivations, we show that the focal lengths in each direction can be estimated using only one point…

Computer Vision and Pattern Recognition · Computer Science 2018-06-12 Mehdi Faraji , Anup Basu

An approach is proposed for recovering affine correspondences (ACs) from orientation- and scale-invariant, e.g. SIFT, features. The method calculates the affine parameters consistent with a pre-estimated epipolar geometry from the point…

Computer Vision and Pattern Recognition · Computer Science 2018-07-11 Daniel Barath

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
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