Advanced

Generalized Convexity in Multiple View Geometry

Olsson, Carl LU and Kahl, Fredrik LU (2010) In Journal of Mathematical Imaging and Vision 38(1). p.35-51
Abstract
Recent work on geometric vision problems has exploited convexity properties in order to obtain globally optimal solutions. In this paper we give an overview of these developments and show the tight connections between different types of convexity and optimality conditions for a large class of multiview geometry problems. We also show how the convexity properties are closely linked to different types of optimization algorithms for computing the solutions. Moreover, it is also demonstrated how convexity can be used for detection and removal of outliers. The theoretical findings are accompanied with illustrative examples and experimental results on real data.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Generalized convexity, Multiple view geometry, Computer vision
in
Journal of Mathematical Imaging and Vision
volume
38
issue
1
pages
35 - 51
publisher
Springer
external identifiers
  • wos:000280251900003
  • scopus:77955014032
ISSN
0924-9907
DOI
10.1007/s10851-010-0207-5
language
English
LU publication?
yes
id
cdb8a2db-6040-4f87-a7f5-de3b15e40b69 (old id 1654381)
date added to LUP
2010-08-26 12:41:14
date last changed
2018-07-01 04:00:25
@article{cdb8a2db-6040-4f87-a7f5-de3b15e40b69,
  abstract     = {Recent work on geometric vision problems has exploited convexity properties in order to obtain globally optimal solutions. In this paper we give an overview of these developments and show the tight connections between different types of convexity and optimality conditions for a large class of multiview geometry problems. We also show how the convexity properties are closely linked to different types of optimization algorithms for computing the solutions. Moreover, it is also demonstrated how convexity can be used for detection and removal of outliers. The theoretical findings are accompanied with illustrative examples and experimental results on real data.},
  author       = {Olsson, Carl and Kahl, Fredrik},
  issn         = {0924-9907},
  keyword      = {Generalized convexity,Multiple view geometry,Computer vision},
  language     = {eng},
  number       = {1},
  pages        = {35--51},
  publisher    = {Springer},
  series       = {Journal of Mathematical Imaging and Vision},
  title        = {Generalized Convexity in Multiple View Geometry},
  url          = {http://dx.doi.org/10.1007/s10851-010-0207-5},
  volume       = {38},
  year         = {2010},
}