A lie group theoretic approach to the invariance problem in feature extraction and object recognition

  • Authors:
  • James B. Cole;Hiroshi Murase;Seiichiro Naito

  • Affiliations:
  • -;-;-

  • Venue:
  • Pattern Recognition Letters
  • Year:
  • 1991

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Abstract

We derive a formal solution to the invariance problem and construct it using Lie group generators. Representations of these generators with respect to image data are discussed. Group theoretical obstacles to three-dimensional invariant recognition and possible solutions are considered.