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Affine reconstruction from translational motion under various autocalibration constraints

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Author

Summary, in English

In this paper algorithms for affine reconstruction from translational motion under various auto calibration constraints are presented. A general geometric constraint, expressed using the camera matrices, is derived and this constraint is used in a least square solution to the problem. Necessary and sufficient conditions for critical motions are derived and shown to depend on the knowledge of the intrinsic parameters of the camera. Experiments on simulated data are performed to evaluate the noise sensitivity of the algorithms and the reconstruction quality for motions close to being critical. An experiment is performed on real data to illustrate that the method works in practice.

Publishing year

2006

Language

English

Pages

245-257

Publication/Series

Journal of Mathematical Imaging and Vision

Volume

24

Issue

2

Document type

Journal article

Publisher

Springer

Topic

  • Mathematics

Keywords

  • translational motion
  • structure and motion estimation
  • affine geometry
  • critical motions

Status

Published

ISBN/ISSN/Other

  • ISSN: 0924-9907