Image Edge Detection by Global Thresholding Using Riemann–Liouville Fractional Integral Operator

Algorithm 1

Removal and cleaning of the isolated pixels and merging of detected edges.

Input: Binary image: b of size m × n; Set of neighbor pixels N = 4, ς_l = 0.08 and ς_h = 0.35.

Output: Optimized edges: oe of size m × n; Set of operations to be executed oe.

1.  if ς = ςl

2.   for all {i and j ∈ N}

3.    if b₄ (i, j) = 1

4.     then oe_l(i, j) = 0;

5.    else oe_l(i, j) = 1;

6.   end if

7.  end for

8. else if ς = ςh

9.  for all {i and j ∈ N}

10.   if b₄ (i, j) = 1

11.    then oe_h (i, j) = 0;

12.   else oe_h (i, j) = 1;

13.  end if

14.  end for

15. end if

16. then oe = oe_l ∪ oe_h