Visual pattern recognition by moment invariants

@article{Hu1962VisualPR,
  title={Visual pattern recognition by moment invariants},
  author={Ming-Kuei Hu},
  journal={IRE Trans. Inf. Theory},
  year={1962},
  volume={8},
  pages={179-187}
}
  • M. Hu
  • Published 1 February 1962
  • Mathematics, Computer Science
  • IRE Trans. Inf. Theory
In this paper a theory of two-dimensional moment invariants for planar geometric figures is presented. A fundamental theorem is established to relate such moment invariants to the well-known algebraic invariants. Complete systems of moment invariants under translation, similitude and orthogonal transformations are derived. Some moment invariants under general two-dimensional linear transformations are also included. Both theoretical formulation and practical models of visual pattern recognition… 
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References

SHOWING 1-7 OF 7 REFERENCES
Recognition of membership in classes
TLDR
A geometrical approach is taken where membership in classes is regarded measurable by metrics with which a set of points, representing different members of the same class, may be brought "close" to one another.
How we know universals; the perception of auditory and visual forms.
Two neural mechanisms are described which exhibit recognition of forms. Both are independent of small perturbations at synapses of excitation, threshold, and synchrony, and are referred to partiular
Steps toward Artificial Intelligence
  • M. Minsky
  • Computer Science
    Proceedings of the IRE
  • 1961
TLDR
The discussion is supported by extensive citation of the literature and by descriptions of a few of the most successful heuristic (problem-solving) programs constructed to date.
Alpha-numeric character recognition using local operations
  • J. S. Bomba
  • Computer Science
    IRE-AIEE-ACM '59 (Eastern)
  • 1959
TLDR
This paper describes a demonstration of the recognition of thirty-four alpha-numeric characters through the use of the IBM 704 EDPM.
Programming pattern recognition
Everyone likes to speculate, and recently there has been a lot of talk about reading machines and hearing machines. We know it is possible to simulate speech. This raises lots of interesting
Programming pattern recognition Proc
  • Programming pattern recognition Proc