Epipolar Geometry and Linear Subspace Methods: A New Approach to Weak Calibration

Authors:
Jean Ponce;Yakup Genc
Affiliations:
Department of Computer Science and Beckman Institute University of Illinois Urbana, IL 61801. E-mail: ponce@cs.uiuc.edu;Department of Computer Science and Beckman Institute University of Illinois Urbana, IL 61801. E-mail: y-genc@cs.uiuc.edu
Venue:
International Journal of Computer Vision
Year:
1998

Citing 31
Cited 1

Finding corners

Image and Vision Computing
Stereo Correspondence Through Feature Grouping and Maximal Cliques

IEEE Transactions on Pattern Analysis and Machine Intelligence
Some Properties of the E Matrix in Two-View Motion Estimation

IEEE Transactions on Pattern Analysis and Machine Intelligence
Subspace methods for recovering rigid motion I: algorithm and implementation

International Journal of Computer Vision
Modelling and identification of characteristic intensity variations

Image and Vision Computing
Matching Two Perspective Views

IEEE Transactions on Pattern Analysis and Machine Intelligence
A theory of self-calibration of a moving camera

International Journal of Computer Vision
Shape and motion from image streams under orthography: a factorization method

International Journal of Computer Vision
Three-dimensional computer vision: a geometric viewpoint

Three-dimensional computer vision: a geometric viewpoint
A computational approach for corner and vertex detection

International Journal of Computer Vision
Linear subspace methods for recovering translational direction

Proceedings of the 1991 York conference on Spacial vision in humans and robots
Analytical methods for uncalibrated stereo and motion reconstruction

ECCV '94 Proceedings of the third European conference on Computer vision (vol. 1)
Robust recovery of the epipolar geometry for an uncalibrated stereo rig

ECCV '94 Proceedings of the third European conference on Computer vision (vol. 1)
A stability analysis of the fundamental matrix

ECCV '94 Proceedings of the third European conference on Computer vision (vol. 1)
A robust technique for matching two uncalibrated images through the recovery of the unknown epipolar geometry

Artificial Intelligence - Special volume on computer vision
Theory of Reconstruction from Image Motion

Theory of Reconstruction from Image Motion
Epipolar Line Estimation

ECCV '92 Proceedings of the Second European Conference on Computer Vision
Estimation of Relative Camera Positions for Uncalibrated Cameras

ECCV '92 Proceedings of the Second European Conference on Computer Vision
Camera Self-Calibration: Theory and Experiments

ECCV '92 Proceedings of the Second European Conference on Computer Vision
What can be seen in three dimensions with an uncalibrated stereo rig

ECCV '92 Proceedings of the Second European Conference on Computer Vision
Reliable Extraction of the Camera Motion using Constraints on the Epipole

ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume II - Volume II
The Dou8ble Algebra: An Effective Tool for Computing Invariants in Computer Vision

Proceedings of the Second Joint European - US Workshop on Applications of Invariance in Computer Vision
Physically-Valid View Synthesis by Image Interplation

VSR '95 Proceedings of the IEEE Workshop on Representation of Visual Scenes
In defence of the 8-point algorithm

ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Motion analysis with a camera with unknown, and possibly varying intrinsic parameters

ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Robust detection of degenerate configurations for the fundamental matrix

ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Epipole and fundamental matrix estimation using virtual parallax

ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Complete scene structure from four point correspondences

ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
PRISM: A Practical Real-Time Imaging Stereo Matcher

PRISM: A Practical Real-Time Imaging Stereo Matcher
Modelling the environment of an exploring vehicle by means of stereo vision

Modelling the environment of an exploring vehicle by means of stereo vision
Handbook for Automatic Computation: Linear Algebra (Grundlehren Der Mathematischen Wissenschaften, Vol 186)

Handbook for Automatic Computation: Linear Algebra (Grundlehren Der Mathematischen Wissenschaften, Vol 186)

Linear Differential Algorithm for Motion Recovery: AGeometric Approach

International Journal of Computer Vision

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper addresses the problem of estimating the epipolar geometryfrom point correspondences between two images taken by uncalibratedperspective cameras. It is shown that Jepson‘s and Heeger‘s linearsubspace technique for infinitesimal motion estimation can begeneralized to the finite motion case by choosing an appropriate basisfor projective space. This yields a linear method for weakcalibration. The proposed algorithm has been implemented and tested onboth real and synthetic images, and it is compared to other linear andnon-linear approaches to weak calibration.