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Generalized epipolar constraints

Åström, Kalle LU orcid ; Cipolla, Roberto and Giblin, Peter (1999) In International Journal of Computer Vision 33(1). p.51-72
Abstract

In this paper we will discuss structure and motion problems for curved surfaces. These will be studied using the silhouettes or apparent contours in the images. The problem of determining camera motion from the apparent contours of curved three-dimensional surfaces, is studied. It will be shown how special points, called epipolar tangency points or frontier points, can be used to solve this problem. A generalized epipolar constraint is introduced, which applies to points, curves, as well as to apparent contours of surfaces. The theory is developed for both continuous and discrete motion, known and unknown orientation, calibrated and uncalibrated, perspective, weak perspective and orthographic cameras. Results of an iterative scheme to... (More)

In this paper we will discuss structure and motion problems for curved surfaces. These will be studied using the silhouettes or apparent contours in the images. The problem of determining camera motion from the apparent contours of curved three-dimensional surfaces, is studied. It will be shown how special points, called epipolar tangency points or frontier points, can be used to solve this problem. A generalized epipolar constraint is introduced, which applies to points, curves, as well as to apparent contours of surfaces. The theory is developed for both continuous and discrete motion, known and unknown orientation, calibrated and uncalibrated, perspective, weak perspective and orthographic cameras. Results of an iterative scheme to recover the epipolar line structure from real image sequences using only the outlines of curved surfaces, is presented. A statistical evaluation is performed to estimate the stability of the solution. It is also shown how the motion of the camera from a sequence of images can be obtained from the relative motion between image pairs.

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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
curved surface, epipolar geometry, frontier point, uncalibrated camera, apparent contour, silhouette, motion extraction
in
International Journal of Computer Vision
volume
33
issue
1
pages
22 pages
publisher
Springer
external identifiers
  • scopus:18844482246
ISSN
0920-5691
DOI
10.1023/A:1008113231241
language
English
LU publication?
yes
id
df1a99ca-ff18-4bc4-b868-9dbfad2288c4
date added to LUP
2020-12-03 13:42:09
date last changed
2022-04-19 02:45:43
@article{df1a99ca-ff18-4bc4-b868-9dbfad2288c4,
  abstract     = {{<p>In this paper we will discuss structure and motion problems for curved surfaces. These will be studied using the silhouettes or apparent contours in the images. The problem of determining camera motion from the apparent contours of curved three-dimensional surfaces, is studied. It will be shown how special points, called epipolar tangency points or frontier points, can be used to solve this problem. A generalized epipolar constraint is introduced, which applies to points, curves, as well as to apparent contours of surfaces. The theory is developed for both continuous and discrete motion, known and unknown orientation, calibrated and uncalibrated, perspective, weak perspective and orthographic cameras. Results of an iterative scheme to recover the epipolar line structure from real image sequences using only the outlines of curved surfaces, is presented. A statistical evaluation is performed to estimate the stability of the solution. It is also shown how the motion of the camera from a sequence of images can be obtained from the relative motion between image pairs.</p>}},
  author       = {{Åström, Kalle and Cipolla, Roberto and Giblin, Peter}},
  issn         = {{0920-5691}},
  keywords     = {{curved surface; epipolar geometry; frontier point; uncalibrated camera; apparent contour; silhouette; motion extraction}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{51--72}},
  publisher    = {{Springer}},
  series       = {{International Journal of Computer Vision}},
  title        = {{Generalized epipolar constraints}},
  url          = {{http://dx.doi.org/10.1023/A:1008113231241}},
  doi          = {{10.1023/A:1008113231241}},
  volume       = {{33}},
  year         = {{1999}},
}