Classification and Data Analysis in Vector Spaces

  • B. G. Batchelor

Abstract

Here, as in Chapters 3 and 5, we shall primarily be concerned with methods for making decisions. We shall assume that the primary pattern has already been coded to yield a vector containing numeric descriptors. Such a pattern description is natural in a wide variety of applications, as the following examples show:
  1. 1.

    An autoanalyzer* may be used to define a multielement vector which describes the hormone, protein, salt, and sugar concentrations in human blood.

     
  2. 2.

    A time-varying signal, such as an EEG or ECG, may be applied to a set of parallel band-pass filters whose outputs are rectified and then integrated. The outputs from the integrators represent the elements of the measurement vector.

     
  3. 3.

    The color of vegetation, as seen from a satellite, may be used to identify certain crops. A “color” vector might contain three measurements on components from the visible spectrum, as well as ultraviolet or infrared measurements.

     

Keywords

Sugar Fatigue Radar Hull Prefix 

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Copyright information

© Plenum Press, New York 1978

Authors and Affiliations

  • B. G. Batchelor
    • 1
  1. 1.Department of ElectronicsUniversity of SouthamptonSouthamptonEngland

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