An automatic method for generating affine moment invariants

  • Authors:
  • Jin Liu;Deren Li;Wenbing Tao;Li Yan

  • Affiliations:
  • State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing, Wuhan University, Hongsan Luoyu Road #129, Wuhan 430079, PR China and School of Geodesy and Geomatics, Wuh ...;State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing, Wuhan University, Hongsan Luoyu Road #129, Wuhan 430079, PR China;Service Computing Technology and System Laboratory of Ministry of Education, Huazhong University of Science and Technology, Wuhan 430074, China;School of Geodesy and Geomatics, Wuhan University, Hongsan Luoyu Road #129, Wuhan 430079, PR China

  • Venue:
  • Pattern Recognition Letters
  • Year:
  • 2007

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Abstract

Affine moment invariants are important if one wants to recognize the surface of a plane in three dimensions when the orientation of the plane is not known beforehand and only two-dimensional information is available. The notion of generating function is introduced as a simple and straightforward way to derive various affine invariants. By this notion, we can get the explicit construction of much more affine moment invariants. Based on this conclusion, a large set of invariant polynomials can be generated automatically and immediately by the algorithm we have designed. These new affine moment invariants can be applied to recognize the image. Approaches in this paper will improve the practicability of affine invariants in object recognition applications.