Optimum Fiducials Under Weak Perspective Projection

  • Authors:
  • Alfred M. Bruckstein;Robert J. Holt;Thomas S. Huang;Arun N. Netravali

  • Affiliations:
  • Bell Laboratories, Lucent Technologies, Murray Hill, New Jersey 07974;Bell Laboratories, Lucent Technologies, Murray Hill, New Jersey 07974;Beckman Institute, University of Illinois, Urbana, Illinois 61801;Bell Laboratories, Lucent Technologies, Murray Hill, New Jersey 07974

  • Venue:
  • International Journal of Computer Vision
  • Year:
  • 1999

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Abstract

We investigate how a given fixed number of points should be locatedin space so that the pose of a camera viewing them from unknownlocations can be estimated with the greatest accuracy. We show that optimum solutions are obtainedwhen the points form concentric complete regular polyhedra. For the case of optimal configurations we provide a worst-caseerror analysis and use it to analyze the effects of weak perspectiveapproximation to true perspective viewing. Comprehensivecomputer simulations validate the theoretical results.