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


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.


Pattern Recognition Euclidean Space Finite Number Training Sample Discriminant Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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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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