It is often useful to have a machine
perform pattern recognition. In particular, machines that can read
symbols are very cost effective. A machine that reads banking
checks can process many more checks than a human being in the same
time. This kind of application saves time and money, and eliminates
the requirement that a human perform such a repetitive
A device is to be designed and trained to
recognize the 26 letters of the alphabet. We assume that some
imaging system digitizes each letter centered in the system's field
of vision. The result is that each letter is represented as a 5 by
7 grid of real values.
The following figure shows the ``perfect''
pictures of all 26 letters.
Figure 1: The 26 letters
of the alphabet with a resolution of 5 x
However, the imaging system is not perfect
and the letters may suffer from noise:
Figure 2: A ``perfect''
picture of the lettar ``A'' and 4 noisy versions (stabdard
devistion of 0.2).
Perfect classification of ideal input
vectors is required, and more important reasonably accurate
classification of noisy vectors.