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Projective Reconstruction of 3D-curves from its 2D-images using Error Models and Bundle Adjustments

På svenska

Author

Editor

  • Michael Frydrych
  • Jussi Parkkinen
  • Ari Visa

Summary, in English

In this paper, an algorithm for projective reconstruction of general 3D-curves from a number of its 2D-images taken by uncalibrated cameras is proposed. No point correspondences between the images are assumed. The curve and the view points are uniquely reconstructed, modulo projective transformations. The algorithm is divided into two separate algorithms, where the output of the first is used as input to the second. The first algorithm is independent of the choice of coordinates in the images and is based on orthogonal projections and aligning subspaces. The ideas behind the algorithm are based on an extension of aOEne shape of finite point configurations to curves. The second algorithm uses the well-known technique of bundle adjustments, where an error function is minimised with respect to all free parameters. The errors in the detection of the curve in the images are used in the error function. These errors are obtained from a proposed model of image acquisition and scale space smoothing, making it possible to analyse the errors in a simple edge detection algorithm. Finally, experiments using real images, have been carried out and it is shown that the results are superior to previous approaches.

Publishing year

1997

Language

English

Pages

581-588

Publication/Series

Proceedings of the 10th Scandinavian Conference on Image Analysis

Document type

Conference paper

Publisher

Suomen hahmontunnistustutkimuksen seura

Topic

  • Mathematics

Conference name

10th Scandinavian Conf. on Image Analysis

Conference date

1997-06-09 - 1997-06-11

Conference place

Lappeenranta, Finland

Status

Published

ISBN/ISSN/Other

  • ISBN: 951-764-145-1