MATLAB: Behavior of imclose() function

image processingImage Processing Toolboxmorphological operation

The morphological close operation is a dilation followed by an erosion, using the same structuring element for both operations. Using a logical matrix a as input with a square structure element,
a = [0 0 1 0 0;
1 1 1 1 1;
0 1 0 1 0;
1 0 0 0 1;
0 0 0 0 0];
se = strel('square', 3);
The result I obtained after performing a dilation, imdilate() followed by an erosion, imerode() on a:
a = imdilate(a, se);
a = imerode(a, se);
% output

1 1 1 1 1
1 1 1 1 1
1 1 1 1 1
1 0 0 0 1
1 0 0 0 1
The result I obtained when applying imclose() directly on a:
a = imclose(a, se);
% output
0 0 1 0 0
1 1 1 1 1
1 1 1 1 1
1 0 0 0 1
0 0 0 0 0
Did I miss out something? Why the outputs are different?

Best Answer

Looks like imclose() assumes that the "missing" pixels outside the image are 0 while imerode() assumes they're 1.