Complement or Negation
f=imread('pcb_bin.tif');
mmshow(f);
fneg=mmneg(f);
mmshow(fneg);
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The data type and Negation
The example below presents an application of this function for different data types. Note that the result of this operation changes with the data type used.
mmneg(mmbinary(uint8([0 0 1 1])))
ans =
1 1 0 0
mmneg(uint8([ 0 1 2 3]))
ans =
255 254 253 252
mmneg(uint16([ 0 1 2 3]))
ans =
65535 65534 65533 65532
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Processing only a Region of Interest (ROI)
In this example, we read an image and store it in f1, create a subimage of f1 from a region of interest (i.e., f1(11:30,21:40)), complement the subimage, copy the complemented subimage in f1 and, finally, display the new f1 :
f1 = imread('ggray.tif');
mmshow(f1);
f1(11:30,21:40) = mmneg(f1(11:30,21:40));
mmshow(f1);
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Duality between Union and Intersection
The duality between the Union and the Intersection is know as the De Morgan formula.
f1 = imread('form-1.tif');
f2 = imread('form-ok.tif');
mmshow(f1);
mmshow(f2);
fu=mmunion(f1,f2);
mmshow(fu);
mmisequal(fu, mmneg(mmintersec(mmneg(f1),mmneg(f2))))
ans =
1
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Exercises
- Illustrate by an example that the duality of the intersection and union is also valid for gray-scale images