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Reconstruction from Image Sequences by means of Relative Depths

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Author

Summary, in English

The paper deals with the problem of reconstructing the locations of n points in space from m different images without camera calibration. It shows how these problems can be put into a similar theoretical framework. A new concept, the reduced fundamental matrix, is introduced. It contains just 4 parameters and can be used to predict locations of points in the images and to make reconstruction. We also introduce the concept of reduced fundamental tensor which describes the relations between points in 3 images. It has 15 components and depends on 9 parameters. Necessary and sufficient conditions for a tensor to be a reduced fundamental tensor are derived. This framework can be generalised to a sequence of images. The dependencies between the different representations are investigated. Furthermore a canonical form of the camera matrices in a sequence are presented

Publishing year

1995

Language

English

Pages

1058-1063

Publication/Series

Fifth International Conference on Computer Vision, 1995. Proceedings.

Document type

Conference paper

Publisher

IEEE - Institute of Electrical and Electronics Engineers Inc.

Topic

  • Mathematics

Keywords

  • image reconstruction
  • image sequences
  • matrix algebra
  • tensors

Conference name

IEEE International Conference on Computer Vision, 1995

Conference date

1995-06-20 - 1995-06-23

Conference place

Cambridge, MA, United States

Status

Published

ISBN/ISSN/Other

  • ISBN: 0-8186-7042-8