Self-Calibration of a Simplified Camera Using Kruppa Equations

  • Authors:
  • Affiliations:
  • Venue:
  • CRV '04 Proceedings of the 1st Canadian Conference on Computer and Robot Vision
  • Year:
  • 2004

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Abstract

In this paper, an original and simplified formulation ofthe Kruppaýs equations is presented. This formulation isparticularly of interest when only two images are available.Indeed, given two images taken with a camera with zeroskew and known principal point, we show that there areonly three possible solutions for the horizontal and verticalscale factors instead of four as widely believed so far. Inaddition, when the aspect ratio is unity, the horizontal andvertical scale factors are equal and the solution is uniqueand straightforward. No additional knowledge on the sceneis required.The issues of refining the solution and the influence ofthe principal point are addressed and discussed in our experiments.