A new form of discriminant surfaces using polar coordinates

摘要

Discriminant boundaries generally separate two or more classes using information on the density function or on the functional form of the discriminant surface. This paper describes a method which permits finding a discriminant surface that completely encloses a predefined class of samples. Successive transformations permit reducing the problem to a linear one. The solution is computed by a Ho-Kashyap procedure, initiated by the Fisher's linear discriminant.