The impossibility of affine reconstruction from perspective image pairs obtained by a translating camera with varying parameters

  • Authors:
  • Zhanyi Hu;Fuchao Wu;Guanghui Wang

  • Affiliations:
  • National Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Sciences, P.O. Box 2728, Beijing 100080, PR China;National Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Sciences, P.O. Box 2728, Beijing 100080, PR China;National Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Sciences, P.O. Box 2728, Beijing 100080, PR China

  • Venue:
  • Pattern Recognition Letters
  • Year:
  • 2003

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Abstract

Contrary to the claim in the literature that the affine reconstruction is possible from two images captured by a translating camera with unknown and varying parameters, we show that such a reconstruction is in fact impossible. In other words, the knowledge that "the camera's motion between the two images is just a pure translation" is an insufficient piece of information for affine reconstruction.