The minimal structure and motion problems with missing data for 1D retina vision
Oskarsson, Magnus LU
; Åström, Karl
LU
and Overgaard, Niels Christian
LU
(2006)
In Journal of Mathematical Imaging and Vision
26(3).
p.327-343
- Abstract
- In this paper we investigate the structure and motion problem for calibrated one-dimensional projections of a two-dimensional environment. The theory of one-dimensional cameras are useful in several areas, e.g. within robotics, autonomous guided vehicles, projection of lines in ordinary vision and vision of vehicles undergoing so called planar motion. In a previous paper the structure and motion problem for all cases with non-missing data was classified and solved. Our aim is here to classify all structure and motion problems, even those with missing data, and to solve them. In the classification we introduce the notion of a prime problem. A prime problem is a minimal problem that does not contain a minimal problem as a sub-problem. We... (More)
- In this paper we investigate the structure and motion problem for calibrated one-dimensional projections of a two-dimensional environment. The theory of one-dimensional cameras are useful in several areas, e.g. within robotics, autonomous guided vehicles, projection of lines in ordinary vision and vision of vehicles undergoing so called planar motion. In a previous paper the structure and motion problem for all cases with non-missing data was classified and solved. Our aim is here to classify all structure and motion problems, even those with missing data, and to solve them. In the classification we introduce the notion of a prime problem. A prime problem is a minimal problem that does not contain a minimal problem as a sub-problem. We further show that there are infinitely many such prime problems. We give solutions to four prime problems, and using the duality of Carlsson these can be extended to solutions of seven prime problems. Finally we give some experimental results based on synthetic data. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/682462
- author
- Oskarsson, Magnus
LU
; Åström, Karl
LU
and Overgaard, Niels Christian
LU
- organization
- publishing date
- 2006
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Mathematical Imaging and Vision
- volume
- 26
- issue
- 3
- pages
- 327 - 343
- publisher
- Springer
- external identifiers
-
- wos:000242704500007
- scopus:33845490207
- ISSN
- 0924-9907
- DOI
- 10.1007/s10851-006-9003-7
- language
- English
- LU publication?
- yes
- id
- b28799db-ae2d-463e-95b1-9d28bbb1da00 (old id 682462)
- date added to LUP
- 2016-04-01 17:02:57
- date last changed
- 2022-01-29 00:01:00
@article{b28799db-ae2d-463e-95b1-9d28bbb1da00,
abstract = {{In this paper we investigate the structure and motion problem for calibrated one-dimensional projections of a two-dimensional environment. The theory of one-dimensional cameras are useful in several areas, e.g. within robotics, autonomous guided vehicles, projection of lines in ordinary vision and vision of vehicles undergoing so called planar motion. In a previous paper the structure and motion problem for all cases with non-missing data was classified and solved. Our aim is here to classify all structure and motion problems, even those with missing data, and to solve them. In the classification we introduce the notion of a prime problem. A prime problem is a minimal problem that does not contain a minimal problem as a sub-problem. We further show that there are infinitely many such prime problems. We give solutions to four prime problems, and using the duality of Carlsson these can be extended to solutions of seven prime problems. Finally we give some experimental results based on synthetic data.}},
author = {{Oskarsson, Magnus and Åström, Karl and Overgaard, Niels Christian}},
issn = {{0924-9907}},
language = {{eng}},
number = {{3}},
pages = {{327--343}},
publisher = {{Springer}},
series = {{Journal of Mathematical Imaging and Vision}},
title = {{The minimal structure and motion problems with missing data for 1D retina vision}},
url = {{http://dx.doi.org/10.1007/s10851-006-9003-7}},
doi = {{10.1007/s10851-006-9003-7}},
volume = {{26}},
year = {{2006}},
}