Generalized Convexity in Multiple View Geometry
Författare
Summary, in English
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.
Avdelning/ar
Publiceringsår
2010
Språk
Engelska
Sidor
35-51
Publikation/Tidskrift/Serie
Journal of Mathematical Imaging and Vision
Volym
38
Issue
1
Dokumenttyp
Artikel i tidskrift
Förlag
Springer
Ämne
- Mathematics
Nyckelord
- Generalized convexity
- Multiple view geometry
- Computer vision
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 0924-9907