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Generalized Convexity in Multiple View Geometry

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Author

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.

Publishing year

2010

Language

English

Pages

35-51

Publication/Series

Journal of Mathematical Imaging and Vision

Volume

38

Issue

1

Document type

Journal article

Publisher

Springer

Topic

  • Mathematics

Keywords

  • Generalized convexity
  • Multiple view geometry
  • Computer vision

Status

Published

ISBN/ISSN/Other

  • ISSN: 0924-9907