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The internal geometry of most modern consumer cameras is not adequately described by the perspective projection. Almost all cameras exhibit some radial lens distortion and are equipped with an electronic rolling shutter that induces…

Computer Vision and Pattern Recognition · Computer Science 2020-04-30 Zuzana Kukelova , Cenek Albl , Akihiro Sugimoto , Konrad Schindler , Tomas Pajdla

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

This paper presents new efficient solutions to the rolling shutter camera absolute pose problem. Unlike the state-of-the-art polynomial solvers, we approach the problem using simple and fast linear solvers in an iterative scheme. We present…

Computer Vision and Pattern Recognition · Computer Science 2019-01-01 Zuzana Kukelova , Cenek Albl , Akihiro Sugimoto , Tomas Pajdla

We present a new insight into the systematic generation of minimal solvers in computer vision, which leads to smaller and faster solvers. Many minimal problem formulations are coupled sets of linear and polynomial equations where image…

Computer Vision and Pattern Recognition · Computer Science 2017-03-16 Zuzana Kukelova , Joe Kileel , Bernd Sturmfels , Tomas Pajdla

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

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 2025-05-05 Viktor Kocur , Charalambos Tzamos , Yaqing Ding , Zuzana Berger Haladova , Torsten Sattler , Zuzana Kukelova

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 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 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 common approach to radial distortion is by the means of polynomial approximation, which introduces distortion-specific parameters into the camera model and requires estimation of these distortion parameters. The task of estimating…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Lili Ma , YangQuan Chen , Kevin L. Moore

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 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

Common approach to radial distortion is by the means of polynomial approximation, which introduces distortion-specific parameters into the camera model and requires estimation of these distortion parameters. The task of estimating radial…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Lili Ma , YangQuan Chen , Kevin L. Moore

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

This paper presents a new algorithm to estimate absolute camera pose given an axis of the camera's rotation matrix. Current algorithms solve the problem via algebraic solutions on limited input domains. This paper shows that the problem can…

Computer Vision and Pattern Recognition · Computer Science 2024-09-18 Akshay Chandrasekhar

This paper presents a simple algebraic method to estimate the pose of a camera relative to a planar target from $n \geq 4$ reference points with known coordinates in the target frame and their corresponding bearing measurements in the…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Tarek Bouazza , Tarek Hamel , Claude Samson

Relative pose estimation using point correspondences (PC) is a widely used technique. A minimal configuration of six PCs is required for two views of generalized cameras. In this paper, we present several minimal solvers that use six PCs to…

Computer Vision and Pattern Recognition · Computer Science 2024-11-14 Banglei Guan , Ji Zhao , Laurent Kneip

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

A new closed-form solver is proposed minimizing the algebraic error optimally, in the least-squares sense, to estimate the relative planar motion of two calibrated cameras. The main objective is to solve the over-determined case, i.e., when…

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

This paper introduces the first minimal solvers that jointly estimate lens distortion and affine rectification from repetitions of rigidly transformed coplanar local features. The proposed solvers incorporate lens distortion into the camera…

Computer Vision and Pattern Recognition · Computer Science 2018-12-03 James Pritts , Zuzana Kukelova , Viktor Larsson , Ondrej Chum
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