This paper addresses the problem of estimating the epipolar geometry from point correspondences between two images taken by uncalibrated perspective cameras. It is shown that Jepson's and Heeger's linear subspace technique for infinitesimal motion estimation can be generalized to the finite motion case by choosing an appropriate basis for projective space. This yields a linear method for weak calibration. The proposed algorithm has been implemented and tested on both real and synthetic images, and it is compared to other linear and non-linear approaches to weak calibration. 1
|
1161
|
Robot Vision
– Horn
- 1986
|
|
677
|
Shape and motion from image streams under orthography: a factorization method
– Tomasi, Kanade
- 1992
|
|
511
|
A computer algorithm for reconstructing a scene from two projections
– Longuet-Higgins
- 1981
|
|
488
|
What can be seen in three dimensions with an uncalibrated stereo rig
– Faugeras
- 1992
|
|
395
|
A Robust Technique for Matching Two Uncalibrated Images Through the Recovery of the Unknown Epipolar Geometry
– Zhang, Deriche, et al.
- 1995
|
|
372
|
Three-Dimensional Computer Vision
– Faugeras
- 1993
|
|
321
|
Camera self-calibration: theory and experiments
– Faugeras, Luong, et al.
- 1992
|
|
290
|
LINPACK Users' Guide
– Dongarra, Bunch, et al.
- 1979
|
|
260
|
Ane structure from motion
– Koenderink
- 1991
|
|
257
|
A theory of self-calibration of a moving camera
– Maybank, D
- 1992
|
|
248
|
Estimation of relative camera positions for uncalibrated cameras
– Hartley
- 1992
|
|
237
|
Stereo from uncalibrated cameras
– Hartley, Gupta, et al.
- 1992
|
|
199
|
The fundamental matrix: Theory, algorithms, and stability analysis
– Luong, Faugeras
- 1996
|
|
153
|
Theory of Reconstruction from Image Motion
– Maybank
- 1993
|
|
152
|
defence of the 8-point algorithm
– In
- 1995
|
|
144
|
Structural descriptions and inexact matching
– Shapiro, Haralick
- 1981
|
|
122
|
Towards automatic visual obstacle avoidance
– Moravec
- 1977
|
|
121
|
Subspace methods for recovering rigid motion I: Algorithm and implementation
– Heeger, Jepson
- 1992
|
|
99
|
A Parallel Stereo Algorithm That Produces Dense Depth Maps and Preserves Image Features
– Fua
- 1993
|
|
99
|
Relative 3D reconstruction using multiple uncalibrated images
– Mohr, Veillon, et al.
- 1993
|
|
97
|
Disparity analysis of images
– Barnard, Thompson
- 1980
|
|
95
|
Motion and structure from motion in a piecewise planar environment
– Faugeras, Lustman
- 1988
|
|
88
|
A computational approach for corner and vertex detection
– Deriche, Giraudon
- 1993
|
|
86
|
On determining the fundamental matrix: analysis of different methods and experimental results
– Luong, Deriche, et al.
- 1993
|
|
81
|
Robust recovery of the epipolar geometry for an uncalibrated stereo rig
– Deriche, Zhang, et al.
- 1994
|
|
77
|
Stereo correspondence through feature grouping and maximal cliques
– Horaud, Skordas
- 1989
|
|
73
|
3-D scene representation as a collection of images and fundamental matrices
– Laveau, Faugeras
- 1994
|
|
66
|
Physically-valid view synthesis by image interpolation
– Seitz, Dyer
- 1995
|
|
59
|
Relative 3d positioning and 3d convex hull computation from a weakly calibrated stereo pair
– Robert, Faugeras
- 1993
|
|
52
|
Matrice Fondamentale et Calibration Visuelle sur l’Environnement
– Luong
- 1992
|
|
49
|
Finding corners
– Noble
- 1988
|
|
45
|
Matching two perspective views
– Weng, Ahuja, et al.
- 1992
|
|
44
|
Projective depth: A geometric invariant for 3D reconstruction from two perspective/orthographic views and for visual recognition
– Shashua
- 1993
|
|
37
|
Determining the fundamental matrix with planes: Instability and new algorithms
– Luong, Faugeras
- 1993
|
|
35
|
Linear subspace methods for recovering translational direction
– Jepson, Heeger
- 1993
|
|
34
|
Cheirality invariants
– Hartley
- 1993
|
|
33
|
Computing matched-epipolar projections
– Hartley, Gupta
- 1993
|
|
33
|
Motion analysis with a camera with unknown, and possibly varying intrinsic parameters
– Vieville, Faugeras
- 1995
|
|
32
|
Epipole and fundamental matrix estimation using the virtual parallax property
– Boufama, Mohr
- 1995
|
|
32
|
An algorithm for self calibration from several views
– Hartley
- 1994
|
|
32
|
Affine and projective structure from motion
– Demey, Zisserman, et al.
- 1992
|
|
29
|
A fast subspace algorithm for recovering rigid motion
– Jepson, Heeger
- 1991
|
|
28
|
Robust detection of degenerate configurations for the fundamental matrix
– Torr, Zisserman, et al.
- 1998
|
|
23
|
Modelling and identification of characteristic intensity variations
– Rohr
- 1992
|
|
23
|
Rejecting outliers and estimating errors in an orthogonal regression framework
– Shapiro, Brady
- 1993
|
|
22
|
Token Tracking in a Cluttered Scene
– Zhang
- 1994
|
|
21
|
Modelling the environment of an exploring vehicle by means of stereo vision
– Gennery
- 1980
|
|
20
|
A stability analysis of the fundamental matrix
– Luong, Faugeras
- 1994
|
|
20
|
Uniqueness and estimation of 3-d motion parameters of rigid bodies with curved surfaces
– Tsai, Huang
- 1984
|
|
18
|
A combined edge and corner detector
– Harris, Stephens
- 1988
|
|
