Generalized Convexity in Multiple View Geometry
(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:
https://lup.lub.lu.se/record/1654381
- author
- Olsson, Carl LU and Kahl, Fredrik LU
- organization
- publishing date
- 2010
- 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
- 2016-04-01 14:26:16
- date last changed
- 2022-04-06 18:39:42
@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}}, keywords = {{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}}, doi = {{10.1007/s10851-010-0207-5}}, volume = {{38}}, year = {{2010}}, }