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Related papers: Rectification from Radially-Distorted Scales

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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

This paper introduces the first minimal solvers that jointly solve for affine-rectification and radial lens distortion from coplanar repeated patterns. Even with imagery from moderately distorted lenses, plane rectification using the…

Computer Vision and Pattern Recognition · Computer Science 2018-06-22 James Pritts , Zuzana Kukelova , Viktor Larsson , Ondrej Chum

This paper introduces minimal solvers that jointly solve for radial lens undistortion and affine-rectification using local features extracted from the image of coplanar translated and reflected scene texture, which is common in man-made…

Computer Vision and Pattern Recognition · Computer Science 2020-11-24 James Pritts , Zuzana Kukelova , Viktor Larsson , Yaroslava Lochman , Ondřej Chum

This paper proposes minimal solvers that use combinations of imaged translational symmetries and parallel scene lines to jointly estimate lens undistortion with either affine rectification or focal length and absolute orientation. We use…

Computer Vision and Pattern Recognition · Computer Science 2020-11-19 Yaroslava Lochman , Oles Dobosevych , Rostyslav Hryniv , James Pritts

Many computer vision applications require robust estimation of the underlying geometry, in terms of camera motion and 3D structure of the scene. These robust methods often rely on running minimal solvers in a RANSAC framework. In this paper…

Computer Vision and Pattern Recognition · Computer Science 2018-03-13 Viktor Larsson , Magnus Oskarsson , Kalle Åström , Alge Wallis , Zuzana Kukelova , 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

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 present a fast minimal solver for absolute camera pose estimation from four known points that lie in a plane. We assume a perspective camera model with unknown focal length and unknown radial distortion. The radial…

Computer Vision and Pattern Recognition · Computer Science 2018-06-07 Magnus Oskarsson

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

Many computer vision applications require robust and efficient estimation of camera geometry. The robust estimation is usually based on solving camera geometry problems from a minimal number of input data measurements, i.e. solving minimal…

Computer Vision and Pattern Recognition · Computer Science 2019-12-24 Snehal Bhayani , Zuzana Kukelova , Janne Heikkilä

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

Many computer vision applications require robust and efficient estimation of camera geometry. The robust estimation is usually based on solving camera geometry problems from a minimal number of input data measurements, i.e., solving minimal…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Snehal Bhayani , Zuzana Kukelova , Janne Heikkilä

Nonlinear lens distortion rectification is a common first step in image processing applications where the assumption of a linear camera model is essential. For rectifying the lens distortion, forward distortion model needs to be known.…

Computer Vision and Pattern Recognition · Computer Science 2017-07-05 Burak Benligiray , Cihan Topal

Many computer vision applications require robust and efficient estimation of camera geometry from a minimal number of input data measurements, i.e., solving minimal problems in a RANSAC framework. Minimal problems are usually formulated as…

Computer Vision and Pattern Recognition · Computer Science 2023-09-04 Snehal Bhayani , Janne Heikkilä , Zuzana Kukelova

Over the past decade, the Gr\"obner basis theory and automatic solver generation have lead to a large number of solutions to geometric vision problems. In practically all cases, the derived solvers apply a fixed elimination template to…

Computer Vision and Pattern Recognition · Computer Science 2024-01-18 Wanting Xu , Lan Hu , Manolis C. Tsakiris , Laurent Kneip

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

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

Estimating camera geometry typically involves solving minimal problems formulated as systems of multivariate polynomial equations, which often pose computational challenges when using existing Gr\"obner-basis or resultant-based methods due…

Computer Vision and Pattern Recognition · Computer Science 2026-05-08 Haidong Wu , Snehal Bhayani , Janne Heikkilä

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

Most algorithms in 3D computer vision rely on the pinhole camera model because of its simplicity, whereas virtually all imaging devices introduce certain amount of nonlinear distortion, where the radial distortion is the most severe part.…

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