Journal of Mathematical Sciences

, Volume 97, Issue 2, pp 3959–3967 | Cite as

Pattern recognition with the help of quadratic discriminant functions

  • Yu. I. Petunin
  • B. V. Rublev
Article

Abstract

The problem of pattern recognition with the help of spherical and elliptic discriminant functions is studied; in so doing the pattern of an object is assumed to be a vector of its characters from a finite-dimensional Euclidean space. Using a conformal mapping of a punctured sphere onto the plane as well as the inversion transformation, a criterion for the error-free recognition of two sets containing a finite number of points of training samples is obtained with the help of spherical discriminant functions. An algorithm for solving approximately a problem of construction of an ellipsoid of the minimal volume containing a given finite set of points is described. Bibliography: 5 titles.

Keywords

Pattern Recognition Euclidean Space Finite Number Training Sample Discriminant Function 

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Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • Yu. I. Petunin
  • B. V. Rublev

There are no affiliations available

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