An Image Enhancement Method Using the Quantum-Behaved Particle Swarm Optimization with an Adaptive Strategy

Algorithm 1

Procedure of the QPSO.

Begin

 Initialize the population;

 While (termination condition = false)

 Do

  Compute mean best position 𝐶;

  Properly select the value of 𝛼;

  for (𝑖=1 to 𝑀)

   Evaluate the objective function value 𝑓 (𝑋_𝑖);

   Update 𝑃_𝑖 and 𝐺;

    For 𝑗=1 to 𝑁

     𝜑^𝑗_𝑖,𝑛= rand1(·);

     𝑃^𝑗_𝑖,𝑛=𝜑^𝑗_𝑖,𝑛𝑃^𝑗_𝑖,𝑛+1−𝜑^𝑗_𝑖,𝑛𝐺^𝑗_𝑛;

     𝑢^𝑗_𝑖,𝑛= rand2(·);

     if (rand3(·) < 0.5)

      𝑋^𝑗_𝑖,𝑛+1=𝑝^𝑗_𝑖,𝑛+𝛼𝑋^𝑗_𝑖,𝑛−𝐶^𝑗_𝑛ln1/𝑢^𝑗_𝑖,𝑛;

     else

      𝑋^𝑗_𝑖,𝑛+1=𝑝^𝑗_𝑖,𝑛−𝛼𝑋^𝑗_𝑖,𝑛−𝐶^𝑗_𝑛ln1/𝑢^𝑗_𝑖,𝑛;

     end if

    end for

   end for

  end do

end