Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Factorization with erroneous data

Aanæs, Henrik ; Fisker, Rune ; Åström, Kalle LU orcid and Carstensen, Jens Michael (2002) 2002 International Symposium of ISPRS Commission III on Photogrammetric Computer Vision, PCV 2002
Abstract

Factorization algorithms for recovering structure and motion from an image stream have many advantages, but traditionally requires a set of well tracked feature points. This limits the usability since, correctly tracked feature points are not available in general. There is thus a need to make factorization algorithms deal successfully with incorrectly tracked feature points. We propose a new computationally efficient algorithm for applying an arbitrary error function in the factorization scheme, and thereby enable the use of robust statistical techniques and arbitrary noise models for individual feature points. These techniques and models effectively deal with feature point noise as well as feature mismatch and missing features.... (More)

Factorization algorithms for recovering structure and motion from an image stream have many advantages, but traditionally requires a set of well tracked feature points. This limits the usability since, correctly tracked feature points are not available in general. There is thus a need to make factorization algorithms deal successfully with incorrectly tracked feature points. We propose a new computationally efficient algorithm for applying an arbitrary error function in the factorization scheme, and thereby enable the use of robust statistical techniques and arbitrary noise models for individual feature points. These techniques and models effectively deal with feature point noise as well as feature mismatch and missing features. Furthermore, the algorithm includes a new method for Euclidean reconstruction that experimentally shows a significant improvement in convergence of the factorization algorithms. The proposed algorithm has been implemented in the Christy–Horaud factorization scheme and the results clearly illustrate a considerable increase in error tolerance.

(Less)
Please use this url to cite or link to this publication:
author
; ; and
organization
publishing date
type
Contribution to conference
publication status
published
subject
keywords
Euclidean reconstruction, Feature tracking, Robust statistics, Structure from motion
conference name
2002 International Symposium of ISPRS Commission III on Photogrammetric Computer Vision, PCV 2002
conference location
Graz, Austria
conference dates
2002-09-09 - 2002-09-13
external identifiers
  • scopus:85052384472
language
English
LU publication?
yes
id
a779ec25-1131-4a08-b7d4-c8d56db54ed7
alternative location
https://www.isprs.org/proceedings/xxxiv/part3/papers/paper032.pdf
date added to LUP
2020-11-02 08:59:49
date last changed
2023-01-02 12:49:12
@misc{a779ec25-1131-4a08-b7d4-c8d56db54ed7,
  abstract     = {{<p>Factorization algorithms for recovering structure and motion from an image stream have many advantages, but traditionally requires a set of well tracked feature points. This limits the usability since, correctly tracked feature points are not available in general. There is thus a need to make factorization algorithms deal successfully with incorrectly tracked feature points. We propose a new computationally efficient algorithm for applying an arbitrary error function in the factorization scheme, and thereby enable the use of robust statistical techniques and arbitrary noise models for individual feature points. These techniques and models effectively deal with feature point noise as well as feature mismatch and missing features. Furthermore, the algorithm includes a new method for Euclidean reconstruction that experimentally shows a significant improvement in convergence of the factorization algorithms. The proposed algorithm has been implemented in the Christy–Horaud factorization scheme and the results clearly illustrate a considerable increase in error tolerance.</p>}},
  author       = {{Aanæs, Henrik and Fisker, Rune and Åström, Kalle and Carstensen, Jens Michael}},
  keywords     = {{Euclidean reconstruction; Feature tracking; Robust statistics; Structure from motion}},
  language     = {{eng}},
  title        = {{Factorization with erroneous data}},
  url          = {{https://www.isprs.org/proceedings/xxxiv/part3/papers/paper032.pdf}},
  year         = {{2002}},
}