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Minimal projective reconstruction for combinations of points and lines in three views

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Author

Summary, in English

In this article we address the problem of projective reconstruction of structure and motion given only image data. In particular we investigate three novel minimal combinations of points and lines over three views, and give complete solutions and reconstruction methods for two of these cases: 'four points and three lines in three views', and 'two points and six lines in three views'. We show that in general there are three and seven solutions, respectively, to these cases. The reconstruction methods are tested on real and simulated data. We also give tentative results for the case of nine lines in correspondence over three views, where experiments indicate that there may be up to 36 complex solutions. (C) 2004 Elsevier B.V. All rights reserved.

Publishing year

2004

Language

English

Pages

777-785

Publication/Series

Image and Vision Computing

Volume

22

Issue

10

Document type

Journal article

Publisher

Elsevier

Topic

  • Mathematics

Keywords

  • projective reconstruction
  • points and lines
  • conics

Status

Published

ISBN/ISSN/Other

  • ISSN: 0262-8856