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A Statistical Theory of Shape

Berthilsson, Rikard LU (1998) Advances in Pattern Recognition. Joint IAPR International Workshops. SSPR'98 and SPR'98. Proceedings In Advances in Pattern Recognition. Joint IAPR International Workshops SSPR'98 and SPR'98. Proceedings p.677-686
Abstract
We study the statistical theory of shape for ordered finite point configurations, or otherwise stated, the uncertainty of geometric invariants. A general approach for defining shape and finding its density, expressed in the densities for the individual points, is developed. Some examples that can be computed analytically are given, including both affine and positive similarity shape. Projective shape and projective invariants are important topics in computer vision and are also discussed
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
uncertain systems, statistical analysis, computational geometry, computer vision
in
Advances in Pattern Recognition. Joint IAPR International Workshops SSPR'98 and SPR'98. Proceedings
pages
677 - 686
publisher
Springer
conference name
Advances in Pattern Recognition. Joint IAPR International Workshops. SSPR'98 and SPR'98. Proceedings
external identifiers
  • scopus:22044447963
ISBN
3 540 64858 5
language
English
LU publication?
yes
id
95c9b436-5bea-4cdb-ba9e-0710b5ddfcad (old id 787227)
date added to LUP
2008-04-22 16:54:15
date last changed
2017-01-01 08:03:34
@inproceedings{95c9b436-5bea-4cdb-ba9e-0710b5ddfcad,
  abstract     = {We study the statistical theory of shape for ordered finite point configurations, or otherwise stated, the uncertainty of geometric invariants. A general approach for defining shape and finding its density, expressed in the densities for the individual points, is developed. Some examples that can be computed analytically are given, including both affine and positive similarity shape. Projective shape and projective invariants are important topics in computer vision and are also discussed},
  author       = {Berthilsson, Rikard},
  booktitle    = {Advances in Pattern Recognition. Joint IAPR International Workshops SSPR'98 and SPR'98. Proceedings},
  isbn         = {3 540 64858 5},
  keyword      = {uncertain systems,statistical analysis,computational geometry,computer vision},
  language     = {eng},
  pages        = {677--686},
  publisher    = {Springer},
  title        = {A Statistical Theory of Shape},
  year         = {1998},
}