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Affine Invariants of Planar Sets

Åström, Karl LU orcid (1993) Proceedings of Scandinavian Conference on Image Analysis 2. p.769-776
Abstract
Recent research has indicated that invariants can be useful in computer vision for identification and pose determination of objects. The idea is to find functions that are invariant under a set of transformations acting on a configuration space. This paper describes some new viewpoints on the construction and use of such invariants. The key idea is that any kind of features like derivatives, distinguished points or integrative features can be used to construct invariants. In a given viewing situation one should choose those features that are most stable. As examples, affine invariants for planar smooth curves, planar regions, and planar point configurations are given. The properties of the invariants are illustrated with experiments
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Affine invariants, planar sets, moments, group action, image recognition, indexing.
host publication
SCIA'93 Proceedings of the 8th Scandinavian Conference on Image Analysis
volume
2
pages
769 - 776
publisher
NOBIM-Norwegian Soc. Image Process. & Pattern Recognition
conference name
Proceedings of Scandinavian Conference on Image Analysis
conference location
Tromsö, Norway
conference dates
1993-05-25 - 1993-05-28
language
English
LU publication?
yes
id
ea448480-0871-4e2a-96a7-f8a58f1066b6 (old id 787642)
date added to LUP
2016-04-04 11:13:58
date last changed
2020-12-22 02:16:59
@inproceedings{ea448480-0871-4e2a-96a7-f8a58f1066b6,
  abstract     = {{Recent research has indicated that invariants can be useful in computer vision for identification and pose determination of objects. The idea is to find functions that are invariant under a set of transformations acting on a configuration space. This paper describes some new viewpoints on the construction and use of such invariants. The key idea is that any kind of features like derivatives, distinguished points or integrative features can be used to construct invariants. In a given viewing situation one should choose those features that are most stable. As examples, affine invariants for planar smooth curves, planar regions, and planar point configurations are given. The properties of the invariants are illustrated with experiments}},
  author       = {{Åström, Karl}},
  booktitle    = {{SCIA'93 Proceedings of the 8th Scandinavian Conference on Image Analysis}},
  keywords     = {{Affine invariants; planar sets; moments; group action; image recognition; indexing.}},
  language     = {{eng}},
  pages        = {{769--776}},
  publisher    = {{NOBIM-Norwegian Soc. Image Process. & Pattern Recognition}},
  title        = {{Affine Invariants of Planar Sets}},
  volume       = {{2}},
  year         = {{1993}},
}