A Novel Two-Stage Spectrum-Based Approach for Dimensionality Reduction: A Case Study on the Recognition of Handwritten Numerals

Algorithm 1

The proposed procedure to connect the broken image segments.

while (there is another secondary component in input image) do

{

  find outer contour of the main part 𝑀;

  save the pixels coordinate of 𝑀 in array MAIN;

  repeat

  {

   find outer contour of an image secondary part 𝑆;

   save the pixels coordinate of 𝑆 in array SEC;

  }  until (there is not another secondary parts in image);

  for (each pixel 𝐴 in array MAIN)

  {

    for (each pixel 𝐵 in array SEC)

    {

       compute the distance 𝑑 between pixels 𝐴 and 𝐵;

       save (𝑑, coordinate of pixel 𝐴, coordinate of pixel 𝐵) in array 𝐷;

    }

  }

  𝑑 _ min = smallest value 𝑑 in array 𝐷;

  𝐴_min = coordinate of pixel 𝐴, corresponding to 𝑑_min;

  𝐵_min = coordinate of pixel 𝐵, corresponding to 𝑑_min;

  draw (a straight line with pen_width thickness from 𝐴_min to 𝐵_min);

}